Edit Profile (opens in new tab) Rinot, Assaf Co-Author Distance Author ID: rinot.assaf Published as: Rinot, Assaf; Rinot, A. External Links: MGP Documents Indexed: 64 Publications since 2006, including 11 Additional arXiv Preprints Co-Authors: 26 Co-Authors with 43 Joint Publications 378 Co-Co-Authors all top 5 Co-Authors 21 single-authored 6 Brodsky, Ari Meir 6 Lambie-Hanson, Chris 5 Sinapova, Dima 4 Inamdar, Tanmay C. 4 Zhang, Jing 3 Kojman, Menachem 3 Poveda, Alejandro 3 Steprāns, Juris 2 Carvalho, Rodrigo 2 Cummings, James 2 Fernandes, Gabriel 2 Friedman, Sy-David 2 Magidor, Menachem 2 Moreno, Miguel Vera 2 Shalev, Roy 2 Todorcevic, Stevo B. 2 Yadai, Shira 2 You, Zhixing 1 Feldman, Ido 1 Fernández Bretón, David José 1 Fuchino, Sakaé 1 Fuchs, Gunter 1 Gitik, Moti 1 Levine, Maxwell 1 Poór, Márk 1 Schindler, Ralf-Dieter all top 5 Serials 6 Annals of Pure and Applied Logic 4 The Journal of Symbolic Logic 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Fundamenta Mathematicae 3 Proceedings of the American Mathematical Society 3 Topology and its Applications 3 Combinatorica 3 Archive for Mathematical Logic 2 Algebra Universalis 2 Canadian Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Journal of Mathematical Logic 2 Forum of Mathematics, Sigma 1 Bulletin of the London Mathematical Society 1 Mathematika 1 Monatshefte für Mathematik 1 Notre Dame Journal of Formal Logic 1 Acta Mathematica Hungarica 1 Order 1 Mathematical Logic Quarterly (MLQ) 1 Mathematical Research Letters 1 The Bulletin of Symbolic Logic 1 Journal of the European Mathematical Society (JEMS) 1 Contributions to Discrete Mathematics Fields 61 Mathematical logic and foundations (03-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 General topology (54-XX) 5 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 47 Publications have been cited 327 times in 130 Documents Cited by ▼ Year ▼ Chain conditions of products, and weakly compact cardinals. Zbl 1345.03092 Rinot, Assaf 29 2014 A microscopic approach to Souslin-tree constructions. I. Zbl 1422.03093 Brodsky, Ari Meir; Rinot, Assaf 22 2017 A relative of the approachability ideal, diamond and non-saturation. Zbl 1203.03074 Rinot, Assaf 19 2010 Higher Souslin trees and the GCH, revisited. Zbl 1423.03169 Rinot, Assaf 16 2017 Jensen’s diamond principle and its relatives. Zbl 1244.03125 Rinot, Assaf 14 2011 Distributive Aronszajn trees. Zbl 1472.03043 Brodsky, Ari Meir; Rinot, Assaf 12 2019 Reduced powers of Souslin trees. Zbl 1423.03162 Brodsky, Ari Meir; Rinot, Assaf 11 2017 The failure of diamond on a reflecting stationary set. Zbl 1250.03095 Gitik, Moti; Rinot, Assaf 10 2012 Strong failures of higher analogs of Hindman’s theorem. Zbl 1423.03161 Fernández-Bretón, David; Rinot, Assaf 10 2017 Complicated colorings. Zbl 1320.03076 Rinot, Assaf 10 2014 The Ostaszewski square and homogeneous Souslin trees. Zbl 1300.03024 Rinot, Assaf 9 2014 Knaster and friends. I: Closed colorings and precalibers. Zbl 1522.03216 Lambie-Hanson, Chris; Rinot, Assaf 9 2018 Transforming rectangles into squares, with applications to strong colorings. Zbl 1270.03069 Rinot, Assaf 8 2012 Knaster and friends II: the C-sequence number. Zbl 07355297 Lambie-Hanson, Chris; Rinot, Assaf 8 2021 Openly generated Boolean algebras and the Fodor-type reflection principle. Zbl 1243.03065 Fuchino, Sakaé; Rinot, Assaf 7 2011 The eightfold way. Zbl 1435.03081 Cummings, James; Friedman, Sy-David; Magidor, Menachem; Rinot, Assaf; Sinapova, Dima 7 2018 A cofinality-preserving small forcing may introduce a special Aronszajn tree. Zbl 1192.03032 Rinot, Assaf 7 2009 On the consistency strength of the Milner-Sauer conjecture. Zbl 1089.03042 Rinot, Assaf 7 2006 Chromatic numbers of graphs – large gaps. Zbl 1363.03022 Rinot, Assaf 7 2015 A microscopic approach to Souslin-tree construction. II. Zbl 1477.03177 Brodsky, Ari Meir; Rinot, Assaf 7 2021 Ordinal definable subsets of singular cardinals. Zbl 1436.03259 Cummings, James; Friedman, Sy-David; Magidor, Menachem; Rinot, Assaf; Sinapova, Dima 7 2018 Weak square and stationary reflection. Zbl 1424.03025 Fuchs, G.; Rinot, A. 7 2018 Transformations of the transfinite plane. Zbl 1498.03099 Rinot, Assaf; Zhang, Jing 7 2021 On guessing generalized clubs at the successors of regulars. Zbl 1233.03054 Rinot, Assaf 6 2011 A topological reflection principle equivalent to Shelah’s strong hypothesis. Zbl 1215.03058 Rinot, Assaf 6 2008 Putting a diamond inside the square. Zbl 1373.03076 Rinot, Assaf 6 2015 More notions of forcing add a Souslin tree. Zbl 07120749 Brodsky, Ari Meir; Rinot, Assaf 6 2019 Sigma-Prikry forcing. I: The axioms. Zbl 1509.03149 Poveda, Alejandro; Rinot, Assaf; Sinapova, Dima 5 2021 Square with built-in diamond-plus. Zbl 1422.03095 Rinot, Assaf; Schindler, Ralf 4 2017 Reflection on the coloring and chromatic numbers. Zbl 1438.03017 Lambie-Hanson, Chris; Rinot, Assaf 4 2019 Souslin trees at successors of regular cardinals. Zbl 1521.03141 Rinot, Assaf 4 2019 Rectangular square-bracket operation for successor of regular cardinals. Zbl 1284.03220 Rinot, Assaf; Todorcevic, Stevo 4 2013 Hedetniemi’s conjecture for uncountable graphs. Zbl 1423.03238 Rinot, Assaf 3 2017 On the ideal \(J[\kappa]\). Zbl 1495.03062 Rinot, Assaf 3 2022 A remark on Schimmerling’s question. Zbl 1454.03059 Brodsky, Ari Meir; Rinot, Assaf 3 2019 Inclusion modulo nonstationary. Zbl 1484.03108 Fernandes, Gabriel; Moreno, Miguel; Rinot, Assaf 3 2020 Was Ulam right? I: Basic theory and subnormal ideals. Zbl 07628729 Inamdar, Tanmay; Rinot, Assaf 3 2023 Sigma-Prikry forcing. II: Iteration scheme. Zbl 07632517 Poveda, Alejandro; Rinot, Assaf; Sinapova, Dima 3 2022 Partitioning a reflecting stationary set. Zbl 1484.03085 Levine, Maxwell; Rinot, Assaf 3 2020 Ramsey theory over partitions. III: Strongly Luzin sets and partition relations. Zbl 07615405 Kojman, Menachem; Rinot, Assaf; Steprāns, Juris 3 2023 Same graph, different universe. Zbl 1417.03265 Rinot, Assaf 2 2017 Antichains in partially ordered sets of singular cofinality. Zbl 1115.03057 Rinot, Assaf 1 2007 Aspects of singular cofinality. Zbl 1194.03037 Rinot, Assaf 1 2007 On topological spaces of singular density and minimal weight. Zbl 1135.54004 Rinot, Assaf 1 2007 A forcing axiom deciding the generalized Souslin hypothesis. Zbl 07049478 Lambie-Hanson, Chris; Rinot, Assaf 1 2019 Knaster and friends. III: Subadditive colorings. Zbl 07735952 Lambie-Hanson, Chris; Rinot, Assaf 1 2023 Fake reflection. Zbl 07456849 Fernandes, Gabriel; Moreno, Miguel; Rinot, Assaf 1 2021 Was Ulam right? I: Basic theory and subnormal ideals. Zbl 07628729 Inamdar, Tanmay; Rinot, Assaf 3 2023 Ramsey theory over partitions. III: Strongly Luzin sets and partition relations. Zbl 07615405 Kojman, Menachem; Rinot, Assaf; Steprāns, Juris 3 2023 Knaster and friends. III: Subadditive colorings. Zbl 07735952 Lambie-Hanson, Chris; Rinot, Assaf 1 2023 On the ideal \(J[\kappa]\). Zbl 1495.03062 Rinot, Assaf 3 2022 Sigma-Prikry forcing. II: Iteration scheme. Zbl 07632517 Poveda, Alejandro; Rinot, Assaf; Sinapova, Dima 3 2022 Knaster and friends II: the C-sequence number. Zbl 07355297 Lambie-Hanson, Chris; Rinot, Assaf 8 2021 A microscopic approach to Souslin-tree construction. II. Zbl 1477.03177 Brodsky, Ari Meir; Rinot, Assaf 7 2021 Transformations of the transfinite plane. Zbl 1498.03099 Rinot, Assaf; Zhang, Jing 7 2021 Sigma-Prikry forcing. I: The axioms. Zbl 1509.03149 Poveda, Alejandro; Rinot, Assaf; Sinapova, Dima 5 2021 Fake reflection. Zbl 07456849 Fernandes, Gabriel; Moreno, Miguel; Rinot, Assaf 1 2021 Inclusion modulo nonstationary. Zbl 1484.03108 Fernandes, Gabriel; Moreno, Miguel; Rinot, Assaf 3 2020 Partitioning a reflecting stationary set. Zbl 1484.03085 Levine, Maxwell; Rinot, Assaf 3 2020 Distributive Aronszajn trees. Zbl 1472.03043 Brodsky, Ari Meir; Rinot, Assaf 12 2019 More notions of forcing add a Souslin tree. Zbl 07120749 Brodsky, Ari Meir; Rinot, Assaf 6 2019 Reflection on the coloring and chromatic numbers. Zbl 1438.03017 Lambie-Hanson, Chris; Rinot, Assaf 4 2019 Souslin trees at successors of regular cardinals. Zbl 1521.03141 Rinot, Assaf 4 2019 A remark on Schimmerling’s question. Zbl 1454.03059 Brodsky, Ari Meir; Rinot, Assaf 3 2019 A forcing axiom deciding the generalized Souslin hypothesis. Zbl 07049478 Lambie-Hanson, Chris; Rinot, Assaf 1 2019 Knaster and friends. I: Closed colorings and precalibers. Zbl 1522.03216 Lambie-Hanson, Chris; Rinot, Assaf 9 2018 The eightfold way. Zbl 1435.03081 Cummings, James; Friedman, Sy-David; Magidor, Menachem; Rinot, Assaf; Sinapova, Dima 7 2018 Ordinal definable subsets of singular cardinals. Zbl 1436.03259 Cummings, James; Friedman, Sy-David; Magidor, Menachem; Rinot, Assaf; Sinapova, Dima 7 2018 Weak square and stationary reflection. Zbl 1424.03025 Fuchs, G.; Rinot, A. 7 2018 A microscopic approach to Souslin-tree constructions. I. Zbl 1422.03093 Brodsky, Ari Meir; Rinot, Assaf 22 2017 Higher Souslin trees and the GCH, revisited. Zbl 1423.03169 Rinot, Assaf 16 2017 Reduced powers of Souslin trees. Zbl 1423.03162 Brodsky, Ari Meir; Rinot, Assaf 11 2017 Strong failures of higher analogs of Hindman’s theorem. Zbl 1423.03161 Fernández-Bretón, David; Rinot, Assaf 10 2017 Square with built-in diamond-plus. Zbl 1422.03095 Rinot, Assaf; Schindler, Ralf 4 2017 Hedetniemi’s conjecture for uncountable graphs. Zbl 1423.03238 Rinot, Assaf 3 2017 Same graph, different universe. Zbl 1417.03265 Rinot, Assaf 2 2017 Chromatic numbers of graphs – large gaps. Zbl 1363.03022 Rinot, Assaf 7 2015 Putting a diamond inside the square. Zbl 1373.03076 Rinot, Assaf 6 2015 Chain conditions of products, and weakly compact cardinals. Zbl 1345.03092 Rinot, Assaf 29 2014 Complicated colorings. Zbl 1320.03076 Rinot, Assaf 10 2014 The Ostaszewski square and homogeneous Souslin trees. Zbl 1300.03024 Rinot, Assaf 9 2014 Rectangular square-bracket operation for successor of regular cardinals. Zbl 1284.03220 Rinot, Assaf; Todorcevic, Stevo 4 2013 The failure of diamond on a reflecting stationary set. Zbl 1250.03095 Gitik, Moti; Rinot, Assaf 10 2012 Transforming rectangles into squares, with applications to strong colorings. Zbl 1270.03069 Rinot, Assaf 8 2012 Jensen’s diamond principle and its relatives. Zbl 1244.03125 Rinot, Assaf 14 2011 Openly generated Boolean algebras and the Fodor-type reflection principle. Zbl 1243.03065 Fuchino, Sakaé; Rinot, Assaf 7 2011 On guessing generalized clubs at the successors of regulars. Zbl 1233.03054 Rinot, Assaf 6 2011 A relative of the approachability ideal, diamond and non-saturation. Zbl 1203.03074 Rinot, Assaf 19 2010 A cofinality-preserving small forcing may introduce a special Aronszajn tree. Zbl 1192.03032 Rinot, Assaf 7 2009 A topological reflection principle equivalent to Shelah’s strong hypothesis. Zbl 1215.03058 Rinot, Assaf 6 2008 Antichains in partially ordered sets of singular cofinality. Zbl 1115.03057 Rinot, Assaf 1 2007 Aspects of singular cofinality. Zbl 1194.03037 Rinot, Assaf 1 2007 On topological spaces of singular density and minimal weight. Zbl 1135.54004 Rinot, Assaf 1 2007 On the consistency strength of the Milner-Sauer conjecture. Zbl 1089.03042 Rinot, Assaf 7 2006 all cited Publications top 5 cited Publications all top 5 Cited by 87 Authors 43 Rinot, Assaf 12 Lambie-Hanson, Chris 8 Hayut, Yair 6 Brodsky, Ari Meir 6 Sinapova, Dima 6 Zhang, Jing 5 Ben-Neria, Omer 5 Matet, Pierre 5 Stejskalová, Šárka 4 Fernández Bretón, David José 4 Fuchs, Gunter 4 Gitik, Moti 4 Lücke, Philipp Moritz 4 Magidor, Menachem 4 Poveda, Alejandro 3 Friedman, Sy-David 3 Gilton, Thomas 3 Honzik, Radek 3 Inamdar, Tanmay C. 3 Jarden, Adi 3 Kojman, Menachem 3 Levine, Maxwell 3 Moreno, Miguel Vera 3 Sakai, Hiroshi 3 Shelah, Saharon 2 Apter, Arthur W. 2 Carlucci, Lorenzo 2 Cherniavsky, Yonah 2 Cummings, James 2 Farah, Ilijas 2 Fernandes, Gabriel 2 Fuchino, Sakaé 2 Golshani, Mohammad 2 Komjáth, Péter 2 Koszmider, Piotr B. 2 Krueger, John 2 Rodrigues, André Ottenbreit Maschio 2 Schindler, Ralf-Dieter 2 Soukup, Dániel Tamás 2 Steprāns, Juris 2 Usuba, Toshimichi 2 Zhang, Jing 1 Adolf, Dominik Thomas 1 Benhamou, Tom 1 Calderón, Daniel 1 Chen-Mertens, William 1 Chis, Cristina 1 Cox, Sean D. 1 Du, Jin 1 Džamonja, Mirna 1 Eisworth, Todd 1 Eskew, Monroe 1 Feldman, Ido 1 Ferrer, Maria Vicenta 1 Fontanella, Laura 1 Garti, Shimon 1 Głodkowski, Damian 1 Henney-Turner, Christopher 1 Hernández, Salvador 1 Kanovei, Vladimir G. 1 Karagila, Asaf 1 Koepke, Peter 1 Leader, Imre 1 Lee, Sung-Hyup 1 Lyubetsky, Vassily Aleksandrovich 1 Matsubara, Yo 1 Mejía, Diego Alejandro 1 Merimovich, Carmi 1 Minden, Kaethe 1 Mohammadpour, Rahman 1 Neeman, Itay 1 Plebanek, Grzegorz 1 Rathjen, Michael 1 Russell, Paul A. 1 Ryduchowski, Kamil 1 Schlicht, Philipp 1 Shalev, Roy 1 Shami, Ziv 1 Shitov, Yaroslav Nikolaevich 1 Soukup, Lajos 1 Stanley, Adrienne M. 1 Tsaban, Boaz 1 Ulrich, Douglas S. 1 Unger, Spencer T. 1 Vidnyánszky, Zoltán 1 Woodin, W. Hugh 1 Zeman, Martin all top 5 Cited in 32 Serials 15 Archive for Mathematical Logic 14 The Journal of Symbolic Logic 14 Proceedings of the American Mathematical Society 13 Annals of Pure and Applied Logic 8 Mathematical Logic Quarterly (MLQ) 7 Journal of Mathematical Logic 6 Topology and its Applications 5 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 4 Fundamenta Mathematicae 3 Advances in Mathematics 3 Canadian Journal of Mathematics 3 Order 3 The Bulletin of Symbolic Logic 3 Forum of Mathematics, Sigma 2 Algebra Universalis 2 Mathematika 2 Monatshefte für Mathematik 2 Combinatorica 2 Acta Mathematica Hungarica 2 Advances and Applications in Discrete Mathematics 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Journal of Algebra 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Notre Dame Journal of Formal Logic 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 European Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 10 Fields 128 Mathematical logic and foundations (03-XX) 13 Combinatorics (05-XX) 8 General topology (54-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year