Rinot's papers and preprints [rss]
2025
[65] Proxy principles in combinatorial set theory (Ari Meir Brodsky, Assaf Rinot, Shira Yadai), In Zb. Rad. (Beogr.), volume , 2025. (Accepted June 2024) [bib] [preprint]
[63] Diamond on ladder systems and countably metacompact topological spaces (Rodrigo Carvalho, Tanmay Inamdar, Assaf Rinot), In J. Symbolic Logic, volume , 2025. (Accepted May 2024) [bib] [journal] [doi]
[46] A club guessing toolbox I (Tanmay Inamdar, Assaf Rinot), In Bull. Symb. Log., volume , 2025. (Accepted June 2024) [bib] [preprint] [doi]
2024
[62] Full Souslin trees at small cardinals (Assaf Rinot, Shira Yadai, Zhixing You), In J. Lond. Math. Soc. (2), volume 110, 2024. [bib] [journal] [doi]
[54] A new small Dowker space (Assaf Rinot, Roy Shalev, Stevo Todorcevic), In Period. Math. Hungar., volume 88, 2024. [bib] [journal] [doi]
[53] Was Ulam right? II: Small width and general ideals (Tanmay Inamdar, Assaf Rinot), In Algebra Universalis, volume 85, 2024. [bib] [journal] [doi]
[50] Ramsey theory over partitions II: Negative Ramsey relations and pump-up theorems (Menachem Kojman, Assaf Rinot, Juris Steprans), In Israel J. Math., volume 261, 2024. [bib] [journal] [doi]
[49] Ramsey theory over partitions I: Positive Ramsey relations from forcing axioms (Menachem Kojman, Assaf Rinot, Juris Steprans), In Israel J. Math., volume 261, 2024. [bib] [journal] [doi]
2023
[57] Sums of triples in Abelian groups (Ido Feldman, Assaf Rinot), In Mathematika, volume 69, 2023. [bib] [journal] [doi]
[55] Ramsey theory over partitions III: Strongly Luzin sets and partition relations (Menachem Kojman, Assaf Rinot, Juris Steprans), In Proc. Amer. Math. Soc., volume 151, 2023. [bib] [journal] [doi]
[52] Complicated colorings, revisited (Assaf Rinot, Jing Zhang), In Ann. Pure Appl. Logic, volume 174, 2023. [bib] [journal] [doi]
[48] A guessing principle from a Souslin tree, with applications to topology (Assaf Rinot, Roy Shalev), In Topology Appl., volume 323, 2023. [bib] [journal] [doi]
[47] Was Ulam right? I: Basic theory and subnormal ideals (Tanmay Inamdar, Assaf Rinot), In Topology Appl., volume 323, 2023. [bib] [journal] [doi]
[45] Strongest Transformations (Assaf Rinot, Jing Zhang), In Combinatorica, volume 43, 2023. [bib] [journal] [doi]
[43] Sigma-Prikry forcing III: Down to Aleph_omega (Alejandro Poveda, Assaf Rinot, Dima Sinapova), In Adv. Math., volume 435, 2023. [bib] [journal] [doi]
[36] Knaster and friends III: Subadditive colorings (Chris Lambie-Hanson, Assaf Rinot), In J. Symbolic Logic, volume 88, 2023. [bib] [journal] [doi]
2022
[51] On the ideal J[kappa] (Assaf Rinot), In Ann. Pure Appl. Logic, volume 173, 2022. [bib] [journal] [doi]
[42] Sigma-Prikry forcing II: Iteration Scheme (Alejandro Poveda, Assaf Rinot, Dima Sinapova), In J. Math. Log., volume 22, 2022. [bib] [journal] [doi]
2021
[44] Transformations of the transfinite plane (Assaf Rinot, Jing Zhang), In Forum Math. Sigma, volume 9, 2021. [bib] [journal] [doi]
[41] Sigma-Prikry forcing I: The Axioms (Alejandro Poveda, Assaf Rinot, Dima Sinapova), In Canad. J. Math., volume 73, 2021. [bib] [journal] [doi]
[40] Fake Reflection (Gabriel Fernandes, Miguel Moreno, Assaf Rinot), In Israel J. Math., volume 245, 2021. [bib] [journal] [doi]
[35] Knaster and friends II: The C-sequence number (Chris Lambie-Hanson, Assaf Rinot), In J. Math. Log., volume 21, 2021. [bib] [journal] [doi]
[23] A Microscopic approach to Souslin-tree constructions. Part II (Ari Meir Brodsky, Assaf Rinot), In Ann. Pure Appl. Logic, volume 172, 2021. [bib] [journal] [doi]
2020
[39] Inclusion modulo nonstationary (Gabriel Fernandes, Miguel Moreno, Assaf Rinot), In Monatsh. Math., volume 192, 2020. [bib] [journal] [doi]
[38] Partitioning a reflecting stationary set (Maxwell Levine, Assaf Rinot), In Proc. Amer. Math. Soc., volume 148, 2020. [bib] [journal] [doi]
2019
[37] Souslin trees at successors of regular cardinals (Assaf Rinot), In MLQ Math. Log. Q., volume 65, 2019. [bib] [journal] [doi]
[32] A remark on Schimmerling's question (Ari Meir Brodsky, Assaf Rinot), In Order, volume 36, 2019. [bib] [journal] [doi]
[31] A forcing axiom deciding the generalized Souslin Hypothesis (Chris Lambie-Hanson, Assaf Rinot), In Canad. J. Math., volume 71, 2019. [bib] [journal] [doi]
[29] Distributive Aronszajn trees (Ari Meir Brodsky, Assaf Rinot), In Fund. Math., volume 245, 2019. [bib] [journal] [doi]
[28] Reflection on the coloring and chromatic numbers (Chris Lambie-Hanson, Assaf Rinot), In Combinatorica, volume 39, 2019. [bib] [journal] [doi]
[26] More notions of forcing add a Souslin tree (Ari Meir Brodsky, Assaf Rinot), In Notre Dame J. Form. Log., volume 60, 2019. [bib] [journal] [doi]
2018
[34] Knaster and friends I: Closed colorings and precalibers (Chris Lambie-Hanson, Assaf Rinot), In Algebra Universalis, volume 79, 2018. [bib] [journal] [doi]
[33] Weak square and stationary reflection (Gunter Fuchs, Assaf Rinot), In Acta Math. Hungar., volume 155, 2018. [bib] [journal] [doi]
[30] The eightfold way (James Cummings, Sy-David Friedman, Menachem Magidor, Assaf Rinot, Dima Sinapova), In J. Symbolic Logic, volume 83, 2018. [bib] [journal] [doi]
[25] Ordinal definable subsets of singular cardinals (James Cummings, Sy-David Friedman, Menachem Magidor, Assaf Rinot, Dima Sinapova), In Israel J. Math., volume 226, 2018. [bib] [journal] [doi]
2017
[27] Strong failures of higher analogs of Hindman's Theorem (David Fernandez-Breton, Assaf Rinot), In Trans. Amer. Math. Soc., volume 369, 2017. [bib] [journal] [doi]
[21] Square with built-in diamond-plus (Assaf Rinot, Ralf Schindler), In J. Symbolic Logic, volume 82, 2017. [bib] [journal] [doi]
[20] Reduced powers of Souslin trees (Ari Meir Brodsky, Assaf Rinot), In Forum Math. Sigma, volume 5, 2017. [bib] [journal] [doi]
[17] Same Graph, Different Universe (Assaf Rinot), In Arch. Math. Logic, volume 56, 2017. [bib] [journal] [doi]
[16] Hedetniemi's conjecture for uncountable graphs (Assaf Rinot), In J. Eur. Math. Soc. (JEMS), volume 19, 2017. [bib] [journal] [doi]
[24] Higher Souslin trees and the GCH, revisited (Assaf Rinot), In Adv. Math., volume 311, 2017. [bib] [journal] [doi]
[22] A Microscopic approach to Souslin-tree constructions. Part I (Ari Meir Brodsky, Assaf Rinot), In Ann. Pure Appl. Logic, volume 168, 2017. [bib] [journal] [doi]
2015
[19] Putting a diamond inside the square (Assaf Rinot), In Bull. Lond. Math. Soc., volume 47, 2015. [bib] [journal] [doi]
[12] Chromatic numbers of graphs - large gaps (Assaf Rinot), In Combinatorica, volume 35, 2015. [bib] [journal] [doi]
2014
[18] Chain conditions of products, and weakly compact cardinals (Assaf Rinot), In Bull. Symb. Log., volume 20, 2014. [bib] [journal] [doi]
[15] Complicated colorings (Assaf Rinot), In Math. Res. Lett., volume 21, 2014. [bib] [journal] [doi]
[11] The Ostaszewski square, and homogeneous Souslin trees (Assaf Rinot), In Israel J. Math., volume 199, 2014. [bib] [journal] [doi]
2013
[14] Rectangular square-bracket operation for successor of regular cardinals (Assaf Rinot, Stevo Todorcevic), In Fund. Math., volume 220, 2013. [bib] [journal] [doi]
2012
[13] Transforming rectangles into squares, with applications to strong colorings (Assaf Rinot), In Adv. Math., volume 231, 2012. [bib] [journal] [doi]
[08] The failure of diamond on a reflecting stationary set (Moti Gitik, Assaf Rinot), In Trans. Amer. Math. Soc., volume 364, 2012. [bib] [journal] [doi]
2011
[s01] Jensen's diamond principle and its relatives (Assaf Rinot), Chapter in Set theory and its applications, Amer. Math. Soc., volume 533, 2011. [bib] [journal] [doi]
[10] Openly generated Boolean algebras and the Fodor-type reflection principle (Sakaé Fuchino, Assaf Rinot), In Fund. Math., volume 212, 2011. [bib] [journal] [doi]
[09] On guessing generalized clubs at the successors of regulars (Assaf Rinot), In Ann. Pure Appl. Logic, volume 162, 2011. [bib] [journal] [doi]
2010
[r01] The search for diamonds (Assaf Rinot), In B. Symbolic Logic, volume 16, 2010. [bib] [journal] [doi]
[07] A relative of the approachability ideal, diamond and non-saturation (Assaf Rinot), In J. Symbolic Logic, volume 75, 2010. [bib] [journal] [doi]
2009
[06] A cofinality-preserving small forcing may introduce a special Aronszajn tree (Assaf Rinot), In Arch. Math. Logic, volume 48, 2009. [bib] [journal] [doi]
2008
[05] A topological reflection principle equivalent to Shelah's strong hypothesis (Assaf Rinot), In Proc. Amer. Math. Soc., volume 136, 2008. [bib] [journal] [doi]
2007
[04] On topological spaces of singular density and minimal weight (Assaf Rinot), In Topology Appl., volume 155, 2007. [bib] [journal] [doi]
[03] Antichains in partially ordered sets of singular confinality (Assaf Rinot), In Arch. Math. Logic, volume 46, 2007. [bib] [journal] [doi]
[02] Aspects of singular cofinality (Assaf Rinot), In Contrib. Discrete Math., volume 2, 2007. [bib] [journal] [doi]
2006
[01] On the consistency strength of the Milner-Sauer conjecture (Assaf Rinot), In Ann. Pure Appl. Logic, volume 140, 2006. [bib] [journal] [doi]