@article {rinot_r01,
    AUTHOR = {Rinot, Assaf},
     TITLE = {The search for diamonds},
    VOLUME = {16},
    NUMBER = {3},
      YEAR = {2010},
     PAGES = {420--423},
    JOURNAL = {B. Symbolic Logic},
   DOI = {10.2178/bsl/1286284560},
  FJOURNAL = {Bulletin of Symbolic Logic},
     wp_additionalmaterial  = {https://www.math.ucla.edu/~asl/bsl/1603-toc.htm},
	WP_ID  = {r01},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/r01},
   WP_PREPRINT = {https://www.assafrinot.com/files/the_search_for_diamonds.pdf},
  URL = {https://www.jstor.org/stable/20749630},
}

@incollection {rinot_s01,
    AUTHOR = {Rinot, Assaf},
     TITLE = {{J}ensen's diamond principle and its relatives},
    VOLUME = {533},
     PAGES = {125--156},
BOOKTITLE = {Set theory and its applications},
    SERIES = {Contemp. Math.},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2011},
   MRCLASS = {03E05 (03E35 03E50)},
  MRNUMBER = {2777747},
       DOI = {10.1090/conm/533},
       URL = {https://bookstore.ams.org/view?ProductCode=CONM/533},
	WP_ID  = {s01},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/s1},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=342},
   WP_ARXIV = {https://arxiv.org/abs/0911.2151},
   WP_PREPRINT = {https://www.assafrinot.com/files/jensendiamond.pdf},
  wp_additionalmaterial = {https://www.ams.org/books/conm/533/},
}


@article{rinot_s02,
    AUTHOR = {Rinot, Assaf},
     TITLE = {May the successor of a singular cardinal be {J}onsson?},
   NOTE = {Accepted December 2025},
   JOURNAL = {Boll. Unione Mat. Ital.},
  FJOURNAL = {Bollettino dell'Unione Matematica Italiana},
  YEAR = {2026},
    NUMBER = {},
     PAGES = {},
      ISSN = {},
     CODEN = {},
   MRCLASS = {},
  MRNUMBER = {},
  DOI = {10.1007/s40574-025-00525-z},
  URL = {https://link.springer.com/article/10.1007/s40574-025-00525-z},
   HOWPUBLISHED = {\verb"https://assafrinot.com/paper/s02"},   
   WP_ID = {s02},
   WP_ARXIV = {https://arxiv.org/abs/2312.08253},     
   WP_PREPRINT = {https://www.assafrinot.com/files/jonsson.pdf},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=5029},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/s02},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=190},
}

@article {rinot01,
    AUTHOR = {Rinot, Assaf},
     TITLE = {On the consistency strength of the {M}ilner-{S}auer conjecture},
   JOURNAL = {Ann. Pure Appl. Logic},
  FJOURNAL = {Annals of Pure and Applied Logic},
    VOLUME = {140},
      YEAR = {2006},
    NUMBER = {1-3},
     PAGES = {110--119},
      ISSN = {0168-0072},
     CODEN = {APALD7},
   MRCLASS = {03E55 (03E04 03E05 03E45 03E65)},
  MRNUMBER = {2224053 (2007a:03067)},
MRREVIEWER = {Stefan Geschke},
       DOI = {10.1016/j.apal.2005.09.012},
       URL = {https://doi.org/10.1016/j.apal.2005.09.012},
	WP_ID  = {01},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/01},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=330},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=109},
}
		
@article {rinot02,
    AUTHOR = {Rinot, Assaf},
     TITLE = {Aspects of singular cofinality},
   JOURNAL = {Contrib. Discrete Math.},
  FJOURNAL = {Contributions to Discrete Mathematics},
    VOLUME = {2},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {185--204 (electronic)},
      ISSN = {1715-0868},
   MRCLASS = {03E04 (06A07)},
  MRNUMBER = {2358270 (2008j:03068)},
       DOI = {10.11575/cdm.v2i2.61963},
       URL = {https://doi.org/10.11575/cdm.v2i2.61963},
	WP_ID  = {02},       
   WP_DISCUSSION = {https://www.assafrinot.com/paper/02},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/rinot_scc.pdf},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=109},
}		

@article {rinot03,
    AUTHOR = {Rinot, Assaf},
     TITLE = {Antichains in partially ordered sets of singular confinality},
   JOURNAL = {Arch. Math. Logic},
  FJOURNAL = {Archive for Mathematical Logic},
    VOLUME = {46},
      YEAR = {2007},
    NUMBER = {5-6},
     PAGES = {457--464},
      ISSN = {0933-5846},
     CODEN = {AMLOEH},
   MRCLASS = {03E04 (03E35)},
  MRNUMBER = {2321587 (2008c:03048)},
MRREVIEWER = {Stefan Geschke},
       DOI = {10.1007/s00153-007-0049-z},
       URL = {https://doi.org/10.1007/s00153-007-0049-z},
	WP_ID  = {03},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/03},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/rinot_scc.pdf},
   WP_ARXIV = {https://arxiv.org/abs/math/0606021},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=208},
}

@article {rinot04,
    AUTHOR = {Rinot, Assaf},
     TITLE = {On topological spaces of singular density and minimal weight},
   JOURNAL = {Topology Appl.},
  FJOURNAL = {Topology and its Applications},
    VOLUME = {155},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {135--140},
      ISSN = {0166-8641},
     CODEN = {TIAPD9},
   MRCLASS = {54A25 (03E04 03E50)},
  MRNUMBER = {2370368 (2008k:54007)},
       DOI = {10.1016/j.topol.2007.09.013},
       URL = {https://doi.org/10.1016/j.topol.2007.09.013},
	WP_ID  = {04},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/04},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=334},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=208},
}
		
@article {rinot05,
    AUTHOR = {Rinot, Assaf},
     TITLE = {A topological reflection principle equivalent to {S}helah's strong hypothesis},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {136},
      YEAR = {2008},
    NUMBER = {12},
     PAGES = {4413--4416},
      ISSN = {0002-9939},
     CODEN = {PAMYAR},
   MRCLASS = {03E04 (03E65 54G15)},
  MRNUMBER = {2431057 (2009h:03058)},
       DOI = {10.1090/S0002-9939-08-09411-2},
       URL = {https://doi.org/10.1090/S0002-9939-08-09411-2},
	WP_ID  = {05},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/05},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=302},
}
		
@article {rinot06,
    AUTHOR = {Rinot, Assaf},
     TITLE = {A cofinality-preserving small forcing may introduce a special {A}ronszajn tree},
   JOURNAL = {Arch. Math. Logic},
  FJOURNAL = {Archive for Mathematical Logic},
    VOLUME = {48},
      YEAR = {2009},
    NUMBER = {8},
     PAGES = {817--823},
      ISSN = {0933-5846},
     CODEN = {AMLOEH},
   MRCLASS = {03E05 (03E04 03E35)},
  MRNUMBER = {2563820 (2011i:03042)},
MRREVIEWER = {Jakob Kellner},
       DOI = {10.1007/s00153-009-0155-1},
       URL = {https://doi.org/10.1007/s00153-009-0155-1},
	WP_ID  = {06},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/06},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4270},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=350},
}
	
@article {rinot07,
    AUTHOR = {Rinot, Assaf},
     TITLE = {A relative of the approachability ideal, diamond and non-saturation},
   JOURNAL = {J. Symbolic Logic},
  FJOURNAL = {Journal of Symbolic Logic},
    VOLUME = {75},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {1035--1065},
      ISSN = {0022-4812},
     CODEN = {JSYLA6},
   MRCLASS = {03E35 (03E05)},
  MRNUMBER = {2723781 (2011j:03121)},
       DOI = {10.2178/jsl/1278682214},
       URL = {https://doi.org/10.2178/jsl/1278682214},
	WP_ID  = {07},
WP_DISCUSSION = {https://www.assafrinot.com/paper/07},
   WP_PRESENTATIONS = {https://papers.assafrinot.com/?id=rinot_lc2009.pdf},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=261},
}

@article {rinot08,
    AUTHOR = {Gitik, Moti and Rinot, Assaf},
     TITLE = {The failure of diamond on a reflecting stationary set},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {364},
    NUMBER = {4},
      YEAR = {2012},
     PAGES = {1771--1795},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {03E35 (03E04)},
  MRNUMBER = {2869191},
       DOI = {10.1090/S0002-9947-2011-05355-9},
       URL = {https://doi.org/10.1090/S0002-9947-2011-05355-9},
	WP_ID  = {08},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper08.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/08},
   WP_PRESENTATIONS = {https://papers.assafrinot.com/?id=rinot_lc2009.pdf},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=244},
}


@article {rinot09,
    AUTHOR = {Rinot, Assaf},
     TITLE = {On guessing generalized clubs at the successors of regulars},
   JOURNAL = {Ann. Pure Appl. Logic},
  FJOURNAL = {Annals of Pure and Applied Logic},
    VOLUME = {162},
      YEAR = {2011},
    NUMBER = {7},
     PAGES = {566--577},
      ISSN = {0168-0072},
     CODEN = {APALD7},
   MRCLASS = {03E35 (03E05 03E65)},
  MRNUMBER = {2781096},
       DOI = {10.1016/j.apal.2011.01.007},
       URL = {https://doi.org/10.1016/j.apal.2011.01.007},
	WP_ID  = {09},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/09},
  wp_additionalmaterial = {https://www.zentralblatt-math.org/zmath/en/search/?q=an:1233.03054},
}

@article {rinot10,
    AUTHOR = {Fuchino, Saka{\'e} and Rinot, Assaf},
     TITLE = {Openly generated {B}oolean algebras and the {F}odor-type reflection principle},
   JOURNAL = {Fund. Math.},
  FJOURNAL = {Fundamenta Mathematicae},
    VOLUME = {212},
      YEAR = {2011},
    NUMBER = {3},
     PAGES = {261--283},
      ISSN = {0016-2736},
   MRCLASS = {03E35 (03E65 03E75 03G05 06E05)},
  MRNUMBER = {2784001},
       DOI = {10.4064/fm212-3-4},
       URL = {https://doi.org/10.4064/fm212-3-4},
	WP_ID  = {10},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/10},
   WP_PREPRINT =  {https://fuchino.ddo.jp/papers/scepin10x.pdf},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=318},
   WP_PRESENTATIONS = {https://kurt.scitec.kobe-u.ac.jp/~fuchino/slides/RIMS-set-theory-10pf.pdf},
}
			
@article {rinot11,
    AUTHOR = {Rinot, Assaf},
     TITLE = {The {O}staszewski square, and homogeneous {S}ouslin trees},
  JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
year={2014},
issn={0021-2172},
volume={199},
number={2},
pages={975--1012},
   MRCLASS = {03E05 (03E50 03E65)},
  MRNUMBER = {3219566},
       DOI = {10.1007/s11856-013-0065-0},
       URL = {https://link.springer.com/article/10.1007/s11856-013-0065-0},
	WP_ID  = {11},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot11.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/11},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=350},
   WP_ARXIV = {https://arxiv.org/abs/1105.2944},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=3055},
}

@article {rinot12,
    AUTHOR = {Rinot, Assaf},
     TITLE = {Chromatic numbers of graphs - large gaps},
  JOURNAL = {Combinatorica},
  FJOURNAL = {Combinatorica},
    VOLUME = {35},
      YEAR = {2015},
    NUMBER = {2},
     PAGES = {215--233},
      ISSN = {0209-9683},
   MRCLASS = {03E35 05C15 05C63},
  MRNUMBER = {3347468},
       DOI = {10.1007/s00493-014-3074-7},
       URL = {https://doi.org/10.1007/s00493-014-3074-7},
	WP_ID  = {12},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot12.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/12},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=3175},
   WP_ARXIV = {},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=3186},
}

@article {rinot13,
    AUTHOR = {Rinot, Assaf},
     TITLE = {Transforming rectangles into squares, with applications to strong colorings},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {231},
      YEAR = {2012},
    NUMBER = {2},
     PAGES = {1085--1099},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
   MRCLASS = {03E02},
  MRNUMBER = {2955203},
       DOI = {10.1016/j.aim.2012.06.013},
       URL = {https://doi.org/10.1016/j.aim.2012.06.013},
	WP_ID  = {13},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot13.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/13},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=503},
   WP_ARXIV = {https://arxiv.org/abs/1103.2838},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4639},
}



@article {rinot14,
    AUTHOR = {Rinot, Assaf and Todorcevic, Stevo},
     TITLE = {Rectangular square-bracket operation for successor of regular cardinals},
   JOURNAL = {Fund. Math.},
  FJOURNAL = {Fundamenta Mathematicae},
    VOLUME = {220},
      YEAR = {2013},
    NUMBER = {2},
     PAGES = {119--128},
      ISSN = {0016-2736},
   MRCLASS = {03E02 (03E05)},
  MRNUMBER = {3024040},
       DOI = {10.4064/fm220-2-2},
       URL = {https://doi.org/10.4064/fm220-2-2},
	WP_ID  = {14},       
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot14.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/14},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=352},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=3566},
}


@article {rinot15,
    AUTHOR = {Rinot, Assaf},
     TITLE = {Complicated colorings},
JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {21},
      YEAR = {2014},
    NUMBER = {6},
     PAGES = {1367--1388},
      ISSN = {1073-2780},
   MRCLASS = {03E10 (05D10)},
  MRNUMBER = {3335852},
       DOI = {10.4310/MRL.2014.v21.n6.a9},
       URL = {https://doi.org/10.4310/MRL.2014.v21.n6.a9},
	WP_ID  = {15},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot15.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/15},
   WP_PRESENTATIONS = {https://www.assafrinot.com/talks/mfo2014},
   WP_ARXIV = {},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4790},
}


@article {rinot16,
    AUTHOR = {Rinot, Assaf},
     TITLE = {Hedetniemi's conjecture for uncountable graphs},
   JOURNAL = {J. Eur. Math. Soc. (JEMS)},
  FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
    VOLUME = {19},
      YEAR = {2017},
    NUMBER = {1},
     PAGES = {285--298},
      ISSN = {1435-9855},
   MRCLASS = {03E75 05C63 (03E35 05C15)},
  MRNUMBER = {3584564},
       DOI = {10.4171/JEMS/666},
       URL = {https://doi.org/10.4171/JEMS/666},
	WP_ID  = {16},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot16.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/16},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=3175},
   WP_ARXIV = {https://arxiv.org/abs/1307.6841},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=3055},
}

@article {rinot17,
    AUTHOR = {Rinot, Assaf},
     TITLE = {Same Graph, Different Universe},
   JOURNAL = {Arch. Math. Logic},
  FJOURNAL = {Archive for Mathematical Logic},
    VOLUME = {56},
      YEAR = {2017},
    NUMBER = {7-8},
     PAGES = {783--796},
      ISSN = {0933-5846},
     CODEN = {AMLOEH},
   MRCLASS = {03E35 (05C15 05C63)},
  MRNUMBER = {3696066},
       DOI = {10.1007/s00153-017-0551-x},
       URL = {https://link.springer.com/article/10.1007/s00153-017-0551-x},
	WP_ID  = {17},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot17.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/17},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=3636},
   WP_ARXIV = {},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=3055},
}

@article {rinot18,
    AUTHOR = {Rinot, Assaf},
     TITLE = {Chain conditions of products, and weakly compact cardinals},
   MRCLASS = {03E05 (03E02 03E55)},
  JOURNAL = {Bull. Symb. Log.},
  FJOURNAL = {Bulletin of Symbolic Logic},
    VOLUME = {20},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {293--314},
      ISSN = {1079-8986},
  MRNUMBER = {3271280},
       DOI = {10.1017/bsl.2014.24},
       URL = {https://doi.org/10.1017/bsl.2014.24},
   WP_ID  = {18},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot18.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/18},
   WP_PRESENTATIONS = {},
   WP_ARXIV = {},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4530},
}

@article {rinot19,
    AUTHOR = {Rinot, Assaf},
     TITLE = {Putting a diamond inside the square},
   JOURNAL = {Bull. Lond. Math. Soc.},
  FJOURNAL = {Bulletin of the London Mathematical Society},
    VOLUME = {47},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {436--442},
      ISSN = {0024-6093},
   MRCLASS = {03E05 (03E45)},
  MRNUMBER = {3354439},
       DOI = {10.1112/blms/bdv025},
       URL = {https://blms.oxfordjournals.org/content/47/3/436.abstract},
	WP_ID  = {19},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot19.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/19},
   WP_PRESENTATIONS = {},
   WP_ARXIV = {},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=94},
}

@article {rinot20,
    AUTHOR = {Brodsky, Ari Meir and Rinot, Assaf},
     TITLE = {Reduced powers of {S}ouslin trees},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {5},
    NUMBER = {e2},
      YEAR = {2017},
     PAGES = {1--82},
    ISSN = {2050-5094},
   MRCLASS = {03E05 (03E65 03E35 05C05)},
  MRNUMBER = {3596614},
       DOI = {10.1017/fms.2016.34},
       URL = {https://doi.org/10.1017/fms.2016.34},
	WP_ID  = {20},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot20.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/20},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=3975},
   WP_ARXIV = {https://arxiv.org/abs/1507.05651},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4018},
}



@article {rinot21,
    AUTHOR = {Rinot, Assaf and Schindler, Ralf},
     TITLE = {Square with built-in diamond-plus},
   JOURNAL = {J. Symbolic Logic},
  FJOURNAL = {Journal of Symbolic Logic},
    VOLUME = {82},
      YEAR = {2017},
    NUMBER = {3},
     PAGES = {809--833},
      ISSN = {0022-4812},
     CODEN = {JSYLA6},
   MRCLASS = {03E45 (03E05)},
  MRNUMBER = {3694331},
       DOI = {10.1017/jsl.2016.69},
       URL = {https://doi.org/10.1017/jsl.2016.69},
	WP_ID  = {21},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot21.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/21},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4016},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4007},
}

@article {paper22,
    AUTHOR = {Brodsky, Ari Meir and Rinot, Assaf},
     TITLE = {A Microscopic approach to {S}ouslin-tree constructions. {P}art {I}},
   JOURNAL = {Ann. Pure Appl. Logic},
  FJOURNAL = {Annals of Pure and Applied Logic},
    VOLUME = {168},
      YEAR = {2017},
    NUMBER = {11},
     PAGES = {1949--2007},
      ISSN = {0168-0072},
     CODEN = {},
   MRCLASS = {03E05 (03E35 03E65 05C05)},
  MRNUMBER = {3692231},
       DOI = {10.1016/j.apal.2017.05.003},
       URL = {https://doi.org/10.1016/j.apal.2017.05.003},
	WP_ID  = {22},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot22.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/22},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4346},
   WP_ARXIV = {https://arxiv.org/abs/1601.01821},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4631},
}


@article {paper23,
    AUTHOR = {Brodsky, Ari Meir and Rinot, Assaf},
     TITLE = {A Microscopic approach to {S}ouslin-tree construction. {P}art {II}},
   JOURNAL = {Ann. Pure Appl. Logic},
  FJOURNAL = {Annals of Pure and Applied Logic},
  VOLUME = {172},
      YEAR = {2021},
    NUMBER = {5},
     PAGES = {Paper No. 102904, 65},     
      ISSN = {0168-0072},
      MRCLASS = {03E05 (03E65 03E35 05C05)},
   MRNUMBER = {4228336},
  DOI      = {10.1016/j.apal.2020.102904},
   URL     = {https://doi.org/10.1016/j.apal.2020.102904},
	WP_ID  = {23},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper23.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/23},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4346},
   WP_ARXIV = {https://arxiv.org/abs/2003.08146},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4059},
}


@article {paper24,
    AUTHOR = {Rinot, Assaf},
     TITLE = {Higher {S}ouslin trees and the {GCH}, revisited},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {311},
      YEAR = {2017},
    NUMBER = {C},
     PAGES = {510--531},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
   MRCLASS = {03E05 (03E35 03E55)},
  MRNUMBER = {3628222},
       DOI = {10.1016/j.aim.2017.03.002},
       URL = {https://doi.org/10.1016/j.aim.2017.03.002},
	WP_ID  = {24},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot24.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/24},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4286},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4631},
}

@article {paper25,
    AUTHOR = {Cummings, James and Friedman, Sy-David and Magidor, Menachem and Rinot, Assaf and Sinapova, Dima},
     TITLE = {Ordinal definable subsets of singular cardinals},
  JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
year={2018},
issn={0021-2172},
      VOLUME = {226},
    NUMBER = {2},
     PAGES = {781--804},
   MRCLASS = {03E10 (03E55)},
  MRNUMBER = {3819709},
       DOI = {10.1007/s11856-018-1712-2},
       URL = {https://link.springer.com/article/10.1007/s11856-018-1712-2},
	WP_ID  = {25},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper25.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/25},
   WP_PRESENTATIONS = {https://www.mv.helsinki.fi/home/jvaanane/arctic/2017/Slides/Sinapova%20-%20Arctic%202017.pdf},
   WP_ARXIV = {},
  wp_additionalmaterial = {},
}

@article {paper26,
    AUTHOR = {Brodsky, Ari Meir and Rinot, Assaf},
     TITLE = {More notions of forcing add a {S}ouslin tree},
   JOURNAL = {Notre Dame J. Form. Log.},
  FJOURNAL = {Notre Dame Journal of Formal Logic},
    VOLUME = {60},
      YEAR = {2019},
    NUMBER = {3},
     PAGES = {437--455},
      ISSN = {0029-4527},
   MRCLASS = {03E05 (03E35 03E65 05C05)},
  MRNUMBER = {MR3985620},
       DOI = {10.1215/00294527-2019-0011},
       URL = {https://doi.org/10.1215/00294527-2019-0011},
	WP_ID  = {26},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper26.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/26},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=3975},
   WP_ARXIV = {https://arxiv.org/abs/1607.07033},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4631},
},


@article {rinot27,
    AUTHOR = {Fernandez-Breton, David and Rinot, Assaf},
     TITLE = {Strong failures of higher analogs of {H}indman's Theorem},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {369},
    NUMBER = {12},
      YEAR = {2017},
     PAGES = {8939--8966},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {03E02 (03E35 03E75)},
  MRNUMBER = {3710649},
       DOI = {10.1090/tran/7131},
       URL = {https://doi.org/10.1090/tran/7131},
	WP_ID  = {27},
   WP_PREPRINT = {https://www.assafrinot.com/files/rinot27.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/27},
   WP_PRESENTATIONS = {https://www.birs.ca/events/2016/5-day-workshops/16w5053/videos/watch/201609141130-FernandezBreton.html},
   WP_ARXIV = {https://arxiv.org/abs/1608.01512},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=3566},
}


@article {paper28,
    AUTHOR = {Lambie-Hanson, Chris and Rinot, Assaf},
     TITLE = {Reflection on the coloring and chromatic numbers},
  JOURNAL = {Combinatorica},
  FJOURNAL = {Combinatorica},
    VOLUME = {39},
      YEAR = {2019},
    NUMBER = {1},
     PAGES = {165--214},
      ISSN = {0209-9683},
   MRCLASS = {03E05 (03E35 05C15 05C63)},
  MRNUMBER = {3936197},
       DOI = {10.1007/s00493-017-3741-6},
       URL = {https://doi.org/10.1007/s00493-017-3741-6},
	WP_ID  = {28},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper28.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/28},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4337},
   WP_ARXIV = {https://arxiv.org/abs/1708.06929},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=3055},
}


@article {paper29,
    AUTHOR = {Brodsky, Ari Meir and Rinot, Assaf},
     TITLE = {Distributive {A}ronszajn trees},
   JOURNAL = {Fund. Math.},
  FJOURNAL = {Fundamenta Mathematicae},
    VOLUME = {245},
      YEAR = {2019},
    NUMBER = {3},
     PAGES = {217--291},
      ISSN = {0016-2736},
   MRCLASS = {03E05 (03E35 03E65 05C05)},
  MRNUMBER = {3914943},
       DOI = {10.4064/fm542-4-2018},
       URL = {https://doi.org/10.4064/fm542-4-2018},
	WP_ID  = {29},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper29.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/29},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4420},
   WP_ARXIV = {https://arxiv.org/abs/1707.05048},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4550},
}



@article {paper30,
    AUTHOR = {Cummings, James and Friedman, Sy-David and Magidor, Menachem and Rinot, Assaf and Sinapova, Dima},
     TITLE = {The eightfold way},
   JOURNAL = {J. Symbolic Logic},
  FJOURNAL = {Journal of Symbolic Logic},
    VOLUME = {83},
      YEAR = {2018},
    NUMBER = {1},
     PAGES = {349--371},
      ISSN = {0022-4812},
     CODEN = {},
   MRCLASS = {03E35},
  MRNUMBER = {3796288},
       DOI = {10.1017/jsl.2017.69},
       URL = {https://doi.org/10.1017/jsl.2017.69},
	WP_ID  = {30},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper30.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/30},
   WP_PRESENTATIONS = {},
  wp_additionalmaterial = {},
}


@article {paper31,
    AUTHOR = {Lambie-Hanson, Chris and Rinot, Assaf},
     TITLE = {A forcing axiom deciding the generalized {S}ouslin {H}ypothesis},
  JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques},
    VOLUME = {71},
      YEAR = {2019},
    NUMBER = {2},
     PAGES = {437--470},
      ISSN = {0008-414X},
   MRCLASS = {03E57 (03E05 03E35 03E65)},
  MRNUMBER = {3943758},
       DOI = {10.4153/CJM-2017-058-2},
       URL = {https://doi.org/10.4153/CJM-2017-058-2},
	WP_ID  = {31},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper31.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/31},
   WP_PRESENTATIONS = {https://u.cs.biu.ac.il/~lambiec/estc2017.html},
   WP_ARXIV = {https://arxiv.org/abs/1708.06932},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4141},
}




@article {paper32,
    AUTHOR = {Brodsky, Ari Meir and Rinot, Assaf},
     TITLE = {A remark on {S}chimmerling's question},
   JOURNAL = {Order},
  FJOURNAL = {Order},
    VOLUME = {36},
      YEAR = {2019},
    NUMBER = {3},
     PAGES = {525--561},
      ISSN = {0167-8094},
   MRCLASS = {03E05 (03E35 03E65)},
  MRNUMBER = {4038796},
       DOI = {10.1007/s11083-019-09482-7},
       URL = {https://doi.org/10.1007/s11083-019-09482-7},
	WP_ID  = {32},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper32.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/32},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4420},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4270},
}


@article {paper33,
    AUTHOR = {Fuchs, Gunter and Rinot, Assaf},
     TITLE = {Weak square and stationary reflection},
   JOURNAL = {Acta Math. Hungar.},
  FJOURNAL = {Acta Mathematica Hungarica},
    VOLUME = {155},
      YEAR = {2018},
    NUMBER = {2},
     PAGES = {393--405},
      ISSN = {0236-5294},
   MRCLASS = {03E35 (03E05 03E57)},
  MRNUMBER = {3831305},
       DOI = {10.1007/s10474-018-0789-8},
       URL = {https://link.springer.com/article/10.1007/s10474-018-0789-8},
	WP_ID  = {33},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper33.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/33},
   WP_ARXIV = {https://arxiv.org/abs/1711.06213},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=244},
}


@article {paper34,
    AUTHOR = {Lambie-Hanson, Chris and Rinot, Assaf},
     TITLE = {Knaster and friends {I}: {C}losed colorings and precalibers},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {79},
      YEAR = {2018},
    NUMBER = {4},
     PAGES = {Art. 90, 39},
      ISSN = {0002-5240},
   MRCLASS = {03E35 (03E05 03E75 06E10)},
  MRNUMBER = {3878671},
       DOI = {10.1007/s00012-018-0565-1},
       URL = {https://doi.org/10.1007/s00012-018-0565-1},
	WP_ID  = {34},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper34.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/34},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4602},
   WP_ARXIV = {https://arxiv.org/abs/1809.08480},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4607},
}


@article{paper35,
    AUTHOR = {Lambie-Hanson, Chris and Rinot, Assaf},
     TITLE = {Knaster and friends {II}: {T}he {C}-sequence number},
JOURNAL = {J. Math. Log.},
  FJOURNAL = {Journal of Mathematical Logic},
    VOLUME = {21},
      YEAR = {2021},
    NUMBER = {1},
     PAGES = {2150002, 54},
      ISSN = {0219-0613},
   MRCLASS = {03E35 (03E05 03E55 06E10)},
  MRNUMBER = {4194561},
       DOI = {10.1142/S0219061321500021},
       URL = {https://doi.org/10.1142/S0219061321500021},
	WP_ID  = {35},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper35.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/35},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4602},
   WP_ARXIV = {https://arxiv.org/abs/1912.03342},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4761},
}

@article {paper36,
    AUTHOR = {Lambie-Hanson, Chris and Rinot, Assaf},
     TITLE = {Knaster and friends {III}: {S}ubadditive colorings},
   JOURNAL = {J. Symbolic Logic},
  FJOURNAL = {Journal of Symbolic Logic},
    VOLUME = {88},
      YEAR = {2023},
    NUMBER = {3},
     PAGES = {1230--1280},
       ISSN = {0022-4812},
   MRCLASS = {},
  MRNUMBER = {4636632},
       DOI = {10.1017/jsl.2022.50},
       URL = {https://doi.org/10.1017/jsl.2022.50},
   WP_ID = {36},
   WP_ARXIV = {https://arxiv.org/abs/2106.10730},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper36.pdf},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4602},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/36},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4530},
}


@article {paper37,
    AUTHOR = {Rinot, Assaf},
     TITLE = {{S}ouslin trees at successors of regular cardinals},
   JOURNAL = {MLQ Math. Log. Q.},
  FJOURNAL = {MLQ. Mathematical Logic Quarterly},
    VOLUME = {65},
      YEAR = {2019},
    NUMBER = {2},
     PAGES = {200--204},
      ISSN = {0942-5616},
   MRCLASS = {03E05},
  MRNUMBER = {4019621},
       DOI = {10.1002/malq.201800065},
       URL = {https://doi.org/10.1002/malq.201800065},
	WP_ID  = {37},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper37.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/37},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4346},
   WP_ARXIV = {https://arxiv.org/abs/1812.08743},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4631},
}



@article {paper38,
 AUTHOR = {Levine, Maxwell and Rinot, Assaf},
     TITLE = {Partitioning a reflecting stationary set},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {148},
      YEAR = {2020},
    NUMBER = {8},
     PAGES = {3551--3565},
      ISSN = {0002-9939},
   MRCLASS = {03E05 (03E04)},
  MRNUMBER = {4108860},
       DOI = {10.1090/proc/14783},
       URL = {https://doi.org/10.1090/proc/14783},
	WP_ID  = {38},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper38.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/38},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4556},
   WP_ARXIV = {https://arxiv.org/abs/1907.08581},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4373},
}



@article{paper39,
    AUTHOR = {Fernandes, Gabriel and Moreno, Miguel and Rinot, Assaf},
     TITLE = {Inclusion modulo nonstationary},
   JOURNAL = {Monatsh. Math.},
  FJOURNAL = {Monatshefte f\"{u}r Mathematik},
    VOLUME = {192},
      YEAR = {2020},
    NUMBER = {4},
     PAGES = {827--851},
 ISSN = {0026-9255},
   MRCLASS = {03E35 (03E45 54H05)},
  MRNUMBER = {4122218},
       DOI = {10.1007/s00605-020-01431-6},
       URL = {https://doi.org/10.1007/s00605-020-01431-6},
	WP_ID  = {39},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper39.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/39},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4577},
   WP_ARXIV = {https://arxiv.org/abs/1906.10066},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4636},
}




@article{paper40,
    AUTHOR = {Fernandes, Gabriel and Moreno, Miguel and Rinot, Assaf},
     TITLE = {Fake Reflection},
  JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {245},
      YEAR = {2021},
    NUMBER = {1},
     PAGES = {295--345},
      ISSN = {0021-2172},
   MRCLASS = {},
  MRNUMBER = {4357464},
       DOI = {10.1007/s11856-021-2213-2},
       URL = {https://link.springer.com/article/10.1007/s11856-021-2213-2},
	WP_ID  = {40},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper40.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/40},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4577},
   WP_ARXIV = {https://arxiv.org/abs/2003.08340},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4582},
}



@article{paper41,
    AUTHOR = {Poveda, Alejandro and Rinot, Assaf and Sinapova, Dima},
     TITLE = {Sigma-{P}rikry forcing {I}: The Axioms},
 JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'{e}matiques},
    VOLUME = {73},
      YEAR = {2021},
    NUMBER = {5},
     PAGES = {1205--1238},
	  ISSN = {0008-414X},
     CODEN = {},
   MRCLASS = {03E35 (03E04)},
  MRNUMBER = {MR4325864},
       DOI = {10.4153/S0008414X20000425},
       URL = {https://doi.org/10.4153/S0008414X20000425},
	WP_ID  = {41},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper41.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/41},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/poveda_sigma1.pdf},
   WP_ARXIV = {https://arxiv.org/abs/1912.03335},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4620},
}

@article{paper42,
    AUTHOR = {Poveda, Alejandro and Rinot, Assaf and Sinapova, Dima},
     TITLE = {Sigma-{P}rikry forcing {I}{I}: Iteration Scheme},
   JOURNAL = {J. Math. Log.},
  FJOURNAL = {Journal of Mathematical Logic},
   ISSN = {0219-0613},
      YEAR = {2022},
    VOLUME = {22},
    NUMBER = {3},
     PAGES = {Paper No. 2150019, 59pp},
      ISSN = {},
     CODEN = {},
   MRCLASS = {},
  MRNUMBER = {4520552},
       DOI = {10.1142/S0219061321500197},
       URL = {https://doi.org/10.1142/S0219061321500197},
	WP_ID  = {42},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper42.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/42},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/poveda_sigma2.pdf},
   WP_ARXIV = {https://arxiv.org/abs/1912.03336},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4699},
}


@article{paper43,
    AUTHOR = {Poveda, Alejandro and Rinot, Assaf and Sinapova, Dima},
     TITLE = {Sigma-{P}rikry forcing {I}{I}{I}: Down to Aleph_omega},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
      YEAR = {2023},
volume = {435},
pages = {109377},
year = {2023},
issn = {0001-8708},
url = {https://www.sciencedirect.com/science/article/pii/S0001870823005200},
   MRCLASS = {03E35 (03E04)},
  MRNUMBER = {4664338},
  DOI ={10.1016/j.aim.2023.109377},
   WP_ID = {43},
   WP_ARXIV = {https://arxiv.org/abs/2209.10501},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper43.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/43},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/poveda_mfo2022.pdf},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4620},
}

@article{paper44,
    AUTHOR = {Rinot, Assaf and Zhang, Jing},
     TITLE = {Transformations of the transfinite plane},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {9},
      YEAR = {2021},
    NUMBER = {e16},
     PAGES = {1--25},
   MRCLASS = {},
   MRNUMBER = {4228268},
       DOI = {10.1017/fms.2021.14},
       URL = {https://doi.org/10.1017/fms.2021.14},       
	WP_ID  = {44},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper44.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/44},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4648},
   WP_ARXIV = {https://arxiv.org/abs/2003.07582},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=190},
}


@article{paper45,
    AUTHOR = {Rinot, Assaf and Zhang, Jing},
        TITLE = {Strongest {T}ransformations},
   JOURNAL = {Combinatorica},
  FJOURNAL = {Combinatorica. An International Journal on Combinatorics and
              the Theory of Computing},
    VOLUME = {43},
      YEAR = {2023},
    NUMBER = {1},
     PAGES = {149--185},
      ISSN = {0209-9683},
     DOI = {10.1007/s00493-023-00011-0},
   MRCLASS = {03E02 (03E05 03E35)},
  MRNUMBER = {4622592},
       URL = {https://link.springer.com/article/10.1007/s00493-023-00011-0},  
   WP_ID = {45},
   WP_ARXIV = {https://arxiv.org/abs/2104.15031},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper45.pdf},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/rinot_fields2021.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/45},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4639},
}

@article{paper46,
    AUTHOR = {Inamdar, Tanmay and Rinot, Assaf},
     TITLE = {A club guessing toolbox {I}},
  JOURNAL = {Bull. Symb. Log.},
  FJOURNAL = {Bulletin of Symbolic Logic},
    VOLUME = {30},
      YEAR = {2024},
    NUMBER = {3},
    DOI    = {10.1017/bsl.2024.27},
       URL = {https://doi.org/10.1017/bsl.2024.27},  
     PAGES = {303--361},
  ISSN = {1079-8986},
   MRCLASS = {03E05 (03E35)},
  MRNUMBER = {4852811},
   HOWPUBLISHED = {\verb"https://assafrinot.com/paper/46"},   
   WP_ID = {46},
   WP_ARXIV = {https://arxiv.org/abs/2207.03969},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper46.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/46},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4818},
}


@article{paper47,
    AUTHOR = {Inamdar, Tanmay and Rinot, Assaf},
     TITLE = {Was {U}lam right? {I}: {B}asic theory and subnormal ideals},
   JOURNAL = {Topology Appl.},
  FJOURNAL = {Topology and its Applications},
      YEAR = {2023},
    VOLUME = {323},
    NUMBER = {C},
     PAGES = {Paper No. 108287, 53pp},     
      ISSN = {0166-8641},
   MRCLASS = {03E02 (03E35 03E55)},
  MRNUMBER = {4518084},
  DOI = {doi.org/10.1016/j.topol.2022.108287},
       URL = {https://www.sciencedirect.com/science/article/pii/S0166864122002899},         
   WP_ID = {47},
   WP_ARXIV = {https://arxiv.org/abs/2107.05136},     
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/inamdar_imu21.pdf},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper47.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/47},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4846},
}

@article{paper48,
    AUTHOR = {Rinot, Assaf and Shalev, Roy},
     TITLE = {A guessing principle from a {S}ouslin tree, with applications to topology},
   JOURNAL = {Topology Appl.},
  FJOURNAL = {Topology and its Applications},
      YEAR = {2023},
    VOLUME = {323},
    NUMBER = {C},
     PAGES = {Paper No. 108296, 29pp},     
      ISSN = {0166-8641},
   MRCLASS = {03E05 (03E35 03E65 54G20)},
  MRNUMBER = {4518093},
  DOI = {doi.org/10.1016/j.topol.2022.108296},
       URL = {https://www.sciencedirect.com/science/article/pii/S016686412200298X},         
   WP_ID = {48},
   WP_ARXIV = {https://arxiv.org/abs/2104.09150},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper48.pdf},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4808},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/48},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4631},
}


@article{paper49,
    AUTHOR = {Kojman, Menachem and Rinot, Assaf and Steprans, Juris},
     TITLE = {Ramsey theory over partitions {I}: {P}ositive {R}amsey relations from forcing axioms},
  JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {261},
      YEAR = {2024},
    NUMBER = {1},
     PAGES = {205--222},
      ISSN = {0021-2172},
     CODEN = {},
   MRCLASS = {},
  MRNUMBER = {4776491},
  DOI = {10.1007/s11856-023-2573-x},
  URL = {https://doi.org/10.1007/s11856-023-2573-x},  
   WP_ID = {49},
   WP_ARXIV = {https://arxiv.org/abs/2102.07241},  
   WP_PREPRINT = {https://www.assafrinot.com/files/paper49.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/49},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/rinot_fields2021.pdf},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4846},
}

@article{paper50,
    AUTHOR = {Kojman, Menachem and Rinot, Assaf and Steprans, Juris},
     TITLE = {Ramsey theory over partitions {II}: {N}egative {R}amsey relations and pump-up theorems},
  JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {261},
      YEAR = {2024},
    NUMBER = {1},
     PAGES = {223--247},
      ISSN = {0021-2172},
     CODEN = {},
   MRCLASS = {},
  MRNUMBER = {4776492},
  DOI = {10.1007/s11856-023-2574-9},
  URL = {https://doi.org/10.1007/s11856-023-2574-9},
   WP_ID = {50},
   WP_ARXIV = {https://arxiv.org/abs/2204.14101},  
   WP_PREPRINT = {https://www.assafrinot.com/files/paper50.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/50},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/rinot_fields2021.pdf},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4717},
}


@article{paper51,
    AUTHOR = {Rinot, Assaf},
     TITLE = {On the ideal {$J[\kappa]$}},
   JOURNAL = {Ann. Pure Appl. Logic},
  FJOURNAL = {Annals of Pure and Applied Logic},
    VOLUME = {173},
      YEAR = {2022},
    NUMBER = {2},
     PAGES = {Paper No. 103055, 13pp},     
      ISSN = {0168-0072},
      MRCLASS = {03E05 (03E35 03E17 03E65)},
  MRNUMBER = {4323061},
  DOI = {10.1016/j.apal.2021.103055},
       URL = {https://doi.org/10.1016/j.apal.2021.103055},
   WP_ID = {51},
   WP_ARXIV = {https://arxiv.org/abs/2104.09151},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper51.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/51},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/rinot_fields2021.pdf},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4346},
}



@article{paper52,
    AUTHOR = {Rinot, Assaf and Zhang, Jing},
     TITLE = {Complicated colorings, revisited},
   JOURNAL = {Ann. Pure Appl. Logic},
  FJOURNAL = {Annals of Pure and Applied Logic},
      YEAR = {2023},
    VOLUME = {174},
    NUMBER = {4},
     PAGES = {Paper No. 103243},
      ISSN = {0168-0072},
   MRCLASS = {03E02 (03E05)},
  MRNUMBER = {4541824},
   DOI = {10.1016/j.apal.2022.103243},
   URL = {https://doi.org/10.1016/j.apal.2022.103243},   
   WP_ID = {52},
   WP_ARXIV = {https://arxiv.org/abs/2202.09902},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper52.pdf},
   WP_PRESENTATIONS = {},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/52},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=3755},
}



@article{paper53,
    AUTHOR = {Inamdar, Tanmay and Rinot, Assaf},
     TITLE = {Was {U}lam right? {I}{I}: {S}mall width and general ideals},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {85},
      YEAR = {2024},
    NUMBER = {2},
     PAGES = {Paper No. 14, 47pp},
   DOI = {10.1007/s00012-024-00843-x},
      ISSN = {0002-5240},
   MRCLASS = {},
   MRNUMBER = {4707306},
   URL = {https://doi.org/10.1007/s00012-024-00843-x},   
   WP_ID = {53},
   WP_ARXIV = {https://arxiv.org/abs/2203.05615},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper53.pdf},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4946},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/53},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4770},
}


@article{paper54,
    AUTHOR = {Rinot, Assaf and Shalev, Roy and Todorcevic, Stevo},
     TITLE = {A new small {D}owker space},
   JOURNAL = {Period. Math. Hungar.},
  FJOURNAL = {Periodica Mathematica Hungarica. Journal of the J\'{a}nos Bolyai
              Mathematical Society},
    VOLUME = {88},
      YEAR = {2024},
    NUMBER = {1},
     PAGES = {102--117},
 ISSN = {0031-5303},
   MRCLASS = {03E05 (03E65 54G20)},
  MRNUMBER = {4706466},
  DOI = {10.1007/s10998-023-00541-6},
   URL = {https://doi.org/10.1007/s10998-023-00541-6},   
   WP_ID = {54},
   WP_ARXIV = {https://arxiv.org/abs/2209.10504},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper54.pdf},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4808},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/54},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4683},
}


@article{paper55,
    AUTHOR = {Kojman, Menachem and Rinot, Assaf and Steprans, Juris},
     TITLE = {Ramsey theory over partitions {III}: Strongly {L}uzin sets and partition relations},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {151},
      YEAR = {2023},
    NUMBER = {1},
     PAGES = {369--384},
ISSN = {0002-9939},
   MRCLASS = {03E02 (03E35 03E17)},
 MRNUMBER = {4504632},
       DOI = {10.1090/proc/16106},  
       URL = {https://doi.org/10.1090/proc/16106},              
   WP_ID = {55},
   WP_ARXIV = {https://arxiv.org/abs/2104.09148},        
   WP_PREPRINT = {https://www.assafrinot.com/files/paper55.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/55},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/rinot_fields2021.pdf},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4706},
}



@article{paper57,
    AUTHOR = {Feldman, Ido and Rinot, Assaf},
       TITLE = {Sums of triples in {A}belian groups},
   JOURNAL = {Mathematika},
  FJOURNAL = {Mathematika. A Journal of Pure and Applied Mathematics},
    VOLUME = {69},
      YEAR = {2023},
    NUMBER = {3},
     PAGES = {622--664},
      ISSN = {0025-5793},
   MRCLASS = {03E02 (03E35 05)},
  MRNUMBER = {4578783},
   DOI = {10.1112/mtk.12200}, 
   URL = {https://doi.org/10.1112/mtk.12200},
   WP_ID = {57},
   WP_PRESENTATIONS = {https://youtu.be/IxQ7oReusMk},
   WP_ARXIV = {https://arxiv.org/abs/2301.01671},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper57.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/57},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4273},
}


@article{paper58,
    AUTHOR = {Rinot, Assaf and Yadai, Shira and You, Zhixing},
     TITLE = {The vanishing levels of a tree},
   NOTE = {Accepted July 2025},
 JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques},
    VOLUME = {78},
      YEAR = {2026},
    NUMBER = {},
     PAGES = {},
      ISSN = {0008-414X},
   MRCLASS = {},
  MRNUMBER = {},
       DOI = {10.4153/S0008414X2510148X},  
       URL = {https://doi.org/10.4153/S0008414X2510148X},  
   WP_ID = {58},
   WP_ARXIV = {https://arxiv.org/abs/2309.03821},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper58.pdf},
   WP_PRESENTATIONS = {https://youtu.be/-JFnKFWGvZ0},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/58},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4976},
}



@article{paper59,
    AUTHOR = {Inamdar, Tanmay and Rinot, Assaf},
     TITLE = {Was {U}lam right? {I}{I}{I}: {I}ndecomposable ideals},
   JOURNAL = {J. Inst. Math. Jussieu},
  FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
              Journal de l'Institut de Math\'{e}matiques de Jussieu},
    VOLUME = {26},
      YEAR = {2026},
    NUMBER = {3},
     PAGES = {1617--1649},
      ISSN = {1474-7480,1475-3030},
   MRCLASS = {03E02 (03E02 03E35 03E35 03E55)},
  MRNUMBER = {5061675},
  URL = {https://doi.org/10.1017/S1474748026101649},
   DOI = {10.1017/S1474748026101649},
   HOWPUBLISHED = {\verb"https://assafrinot.com/paper/59"},   
   WP_ID = {59},
   WP_ARXIV = {},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper59.pdf},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=5164},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/59},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4818},
}



@article {paper60,
    AUTHOR = {Poor, Mark and Rinot, Assaf},
     TITLE = {A {S}helah group in {Z}{F}{C}},
   JOURNAL = {Forum Math. Pi},
  FJOURNAL = {Forum of Mathematics. Pi},
    VOLUME = {13},
      YEAR = {2025},
    NUMBER = {},
     PAGES = {1--28},
      ISSN = {},
     CODEN = {},
MRCLASS = {03E75 (03E02 20A15 20E15 20F06)},
  MRNUMBER = {4882284},
  DOI = {10.1017/fmp.2025.5},
   URL = {https://doi.org/10.1017/fmp.2025.5},
   WP_ID = {60},
   WP_ARXIV = {https://arxiv.org/abs/2305.11155},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper60.pdf},
   WP_PRESENTATIONS = {https://www.youtube.com/watch?v=G5FiqzDP60s},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/60},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4273},
}


@article{paper61,
    AUTHOR = {Carvalho, Rodrigo and Rinot, Assaf},
    TITLE = {A counterexample related to a theorem of {K}omj\'{a}th and {W}eiss},
   JOURNAL = {Topology Appl.},
  FJOURNAL = {Topology and its Applications},
      YEAR = {2026},
    VOLUME = {379},
    NUMBER = {C},
     PAGES = {Paper No. 109505, 8pp},
   ISSN = {0166-8641,1879-3207},
   MRCLASS = {54G20 (03E02)},
  MRNUMBER = {5015027},
   HOWPUBLISHED = {\verb"https://assafrinot.com/paper/61"},   
   WP_ID = {61},
   DOI = {10.1016/j.topol.2025.109505},
   URL = {https://doi.org/10.1016/j.topol.2025.109505},
   WP_ARXIV = {https://arxiv.org/abs/2307.00602},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper61.pdf},
   WP_PRESENTATIONS = {},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/61},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=3055},
}

@article{paper62,
    AUTHOR = {Rinot, Assaf and Yadai, Shira and You, Zhixing},
     TITLE = {Full {S}ouslin trees at small cardinals},
 JOURNAL = {J. Lond. Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
      YEAR = {2024},
volume = {110},
number = {1},
pages = {e12957},
url = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms.12957},
   MRCLASS = {03E05 (03E35)},
 ISSN = {0024-6107},
  MRNUMBER = {4767707},
   DOI = {10.1112/jlms.12957}, 
   HOWPUBLISHED = {\verb"https://assafrinot.com/paper/62"},   
   WP_ID = {62},
   WP_ARXIV = {https://arxiv.org/abs/2308.00299},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper62.pdf},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=4808},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/62},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4059},
}

@article{paper63,
    AUTHOR = {Carvalho, Rodrigo and Inamdar, Tanmay and Rinot, Assaf},
     TITLE = {Diamond on ladder systems and countably metacompact topological spaces},
   NOTE = {Accepted May 2024},
   JOURNAL = {J. Symbolic Logic},
  FJOURNAL = {Journal of Symbolic Logic},
    VOLUME = {},
      YEAR = {2026},
    NUMBER = {},
     PAGES = {},
      ISSN = {},
     CODEN = {},
   MRCLASS = {},
  MRNUMBER = {},
  DOI = {10.1017/jsl.2024.40},
  URL = {https://doi.org/10.1017/jsl.2024.40},
   WP_ID = {63},
   WP_ARXIV = {https://arxiv.org/abs/2309.13367},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper63.pdf},
   WP_PRESENTATIONS = {https://blog.assafrinot.com/?p=5080},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/63},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4823},
}





@incollection{paper64,
  booktitle = {Selected Topics in Combinatorial Analysis,  Part II},
  publisher = {Mathematical Institute of the Serbian Academy of Sciences and Arts},
    AUTHOR = {Lambie-Hanson, Chris and Rinot, Assaf and Zhang, Jing},
     TITLE = {Squares, ultrafilters and forcing axioms},
      VOLUME = {22(30)},
      YEAR = {2025},
    NUMBER = {},
    SERIES={Zbornik Radova (Beograd)},
    EDITOR = {Bori\v{s}a Kuzeljevi\'{c}},
     PAGES = {411--447},
     ISSN = {0351-9406},
  ISBN = {9788680593838},
     DOI = {10.64191/zr24040410112},
  URL = {https://doi.org/10.64191/zr24040410112},     
     CODEN = {},
   MRCLASS = {03E35 (03E57)},
  MRNUMBER = {4962864},
   HOWPUBLISHED = {\verb"https://assafrinot.com/paper/64"},   
   WP_ID = {64},
   WP_ARXIV = {https://arxiv.org/abs/2401.15693},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper64.pdf},
   WP_PRESENTATIONS = {https://youtu.be/IXCuSM6J3xA},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/64},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4761},
}

@incollection{paper65,
  booktitle = {Selected Topics in Combinatorial Analysis,  Part II},
  publisher = {Mathematical Institute of the Serbian Academy of Sciences and Arts},
    AUTHOR = {Brodsky, Ari Meir and Rinot, Assaf and Yadai, Shira},
     TITLE = {Proxy principles in combinatorial set theory},
      VOLUME = {22(30)},
      YEAR = {2025},
    NUMBER = {},
    SERIES={Zbornik Radova (Beograd)},
    EDITOR = {Bori\v{s}a Kuzeljevi\'{c}},
    DOI = {10.64191/zr24040410103},
  URL = {https://doi.org/10.64191/zr24040410103},     
     PAGES = {89--136},
     ISSN = {0351-9406},
  ISBN = {9788680593838},
     CODEN = {},
   MRCLASS = {03-02 (03E65 03E05 03E35)},
  MRNUMBER = {4962855},
   HOWPUBLISHED = {\verb"https://assafrinot.com/paper/65"},   
   WP_ID = {65},
   WP_ARXIV = {https://arxiv.org/abs/2403.14815},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper65.pdf},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/Brodsky_ESTC24.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/65},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4631},
}


@article{paper66,
    AUTHOR = {Kostana, Ziemowit and Rinot, Assaf and Shelah, Saharon},
     TITLE = {Diamond on {K}urepa trees},
      YEAR = {2026},
   JOURNAL = {Monatsh. Math.},
  FJOURNAL = {Monatshefte f\"{u}r Mathematik},
  VOLUME = {210},
    NUMBER = {1},
  PAGES = {117--138},
      ISSN = {0026-9255,1436-5081},
   MRCLASS = {03E35},
  MRNUMBER = {5051264},
  HOWPUBLISHED = {\verb"https://assafrinot.com/paper/66"},   
   DOI = {10.1007/s00605-026-02176-4},
   URL = {https://link.springer.com/article/10.1007/s00605-026-02176-4},
   WP_ID = {66},
   WP_ARXIV = {https://arxiv.org/abs/2404.02715},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper66.pdf},
   WP_PRESENTATIONS = {https://prac.im.pwr.edu.pl/~twowlc/pub_files/slides/23Kostana_slides.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/66},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=448},
}



@article{paper67,
    AUTHOR = {Jirattikansakul, Sittinon and Oren, Inbar and Rinot, Assaf},
     TITLE = {A model for global compactness},
   NOTE = {Accepted December 2025},
  JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {},
      YEAR = {2026},
    NUMBER = {},
     PAGES = {},
      ISSN = {},
     CODEN = {},
   MRCLASS = {},
  MRNUMBER = {},
   HOWPUBLISHED = {\verb"https://assafrinot.com/paper/67"},   
   WP_ID = {67},
   WP_ARXIV = {https://arxiv.org/abs/2412.13584},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper67.pdf},
   WP_PRESENTATIONS = {https://www.assafrinot.com/files/Oren_Leeds24.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/67},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=5049},
}


@article{paper68,
    AUTHOR = {Brodsky, Ari Meir and Rinot, Assaf and Yadai, Shira},
     TITLE = {The power of trees},
   JOURNAL = {Ann. Pure Appl. Logic},
  FJOURNAL = {Annals of Pure and Applied Logic},
  VOLUME = {177},
      YEAR = {2026},
    NUMBER = {9},
     PAGES = {103776},
      ISSN = {0168-0072,1873-2461},
   MRCLASS = {03E35 (54B10 54D15 54D20 54F05)},
  MRNUMBER = {5061769},
       DOI = {10.1016/j.apal.2026.103776},
       URL = {https://doi.org/10.1016/j.apal.2026.103776},
   HOWPUBLISHED = {\verb"http://assafrinot.com/paper/68"},   
   WP_ID = {68},
   WP_ARXIV = {http://arxiv.org/abs/2510.26419},
   WP_PRESENTATIONS = {https://www.youtube.com/watch?v=J_JGWTwmI4U},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper68.pdf},
   WP_DISCUSSION = {http://www.assafrinot.com/paper/68},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4995},
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@article{paper69,
    AUTHOR = {Rinot, Assaf and You, Zhixing and Yuan, Jiachen},
     TITLE = {Ketonen’s question and other cardinal sins},
   NOTE = {Accepted June 2025},
  JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {},
      YEAR = {2026},
    NUMBER = {},
     PAGES = {},
      ISSN = {},
     CODEN = {},
   MRCLASS = {},
  MRNUMBER = {},
   HOWPUBLISHED = {\verb"https://assafrinot.com/paper/69"},   
   WP_ID = {69},
   WP_ARXIV = {https://arxiv.org/abs/2408.01547},     
   WP_PREPRINT = {https://www.assafrinot.com/files/paper69.pdf},
   WP_PRESENTATIONS = {https://assafrinot.com/papers/ZhixingYouPoster.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/69},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4607},
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@article{paper70,
    AUTHOR = {Rinot, Assaf and You, Zhixing and Yuan, Jiachen},
     TITLE = {A new model for all {C}-sequences are trivial},
   NOTE = {Accepted January 2026},
   JOURNAL = {J. Symbolic Logic},
  FJOURNAL = {Journal of Symbolic Logic},
  FJOURNAL = {},
    VOLUME = {},
      YEAR = {2026},
    NUMBER = {},
     PAGES = {},
    DOI = {10.1017/jsl.2026.10183},
    URL = {https://doi.org/10.1017/jsl.2026.10183},          
      ISSN = {},
     CODEN = {},
   MRCLASS = {},
  MRNUMBER = {},
  WP_ARXIV = {https://arxiv.org/abs/2504.06794},
   HOWPUBLISHED = {\verb"https://assafrinot.com/paper/70"},   
   WP_ID = {70},
   WP_PREPRINT = {https://www.assafrinot.com/files/paper70.pdf},
   WP_DISCUSSION = {https://www.assafrinot.com/paper/70},
  wp_additionalmaterial = {https://blog.assafrinot.com/?p=4991},
}