Edit Profile (opens in new tab) Garti, Shimon Co-Author Distance Author ID: garti.shimon Published as: Garti, Shimon; Garti, S. External Links: ORCID · dblp Documents Indexed: 51 Publications since 2007, including 12 Additional arXiv Preprints Co-Authors: 12 Co-Authors with 36 Joint Publications 381 Co-Co-Authors all top 5 Co-Authors 15 single-authored 23 Shelah, Saharon 7 Hayut, Yair 4 Benhamou, Tom 4 Magidor, Menachem 3 Poveda, Alejandro 2 Ben-Neria, Omer 2 Gitik, Moti 2 Horowitz, Haim 1 Chen, William Barry 1 Villaveces, Andrés 1 Weinert, Thilo V. 1 Zhang, Jing all top 5 Serials 3 Fundamenta Mathematicae 3 Journal of the Mathematical Society of Japan 3 Notre Dame Journal of Formal Logic 3 Proceedings of the American Mathematical Society 3 Acta Mathematica Hungarica 2 Israel Journal of Mathematics 2 Periodica Mathematica Hungarica 2 The Journal of Symbolic Logic 2 Order 2 Mathematical Logic Quarterly (MLQ) 2 Annals of Combinatorics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Discrete Mathematics 1 Houston Journal of Mathematics 1 Algebra Universalis 1 Journal of the London Mathematical Society. Second Series 1 Studia Scientiarum Mathematicarum Hungarica 1 Annals of Pure and Applied Logic 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 The Electronic Journal of Combinatorics 1 Geombinatorics 1 European Journal of Mathematics Fields 48 Mathematical logic and foundations (03-XX) 6 Combinatorics (05-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 111 times in 55 Documents Cited by ▼ Year ▼ A strong polarized relation. Zbl 1270.03076 Garti, Shimon; Shelah, Saharon 15 2012 Partition calculus and cardinal invariants. Zbl 1322.03033 Garti, Shimon; Shelah, Saharon 13 2014 The ultrafilter number for singular cardinals. Zbl 1289.03030 Garti, S.; Shelah, S. 11 2012 Tiltan. (Trèfle.) Zbl 1423.03163 Garti, Shimon 7 2018 Weak diamond and Galvin’s property. Zbl 1399.03012 Garti, S. 7 2017 Strong polarized relations for the continuum. Zbl 1270.03077 Garti, Shimon; Shelah, Saharon 7 2012 Open and solved problems concerning polarized partition relations. Zbl 1522.03181 Garti, Shimon; Shelah, Saharon 6 2016 Weak prediction principles. Zbl 1443.03025 Ben-Neria, Omer; Garti, Shimon; Hayut, Yair 5 2019 Cardinal characteristics at \(\aleph_\omega\). Zbl 07200100 Garti, Shimon; Gitik, M.; Shelah, S. 5 2020 Combinatorial aspects of the splitting number. Zbl 1284.03222 Garti, Shimon; Shelah, Saharon 5 2012 On the spectrum of characters of ultrafilters. Zbl 1455.03059 Garti, Shimon; Magidor, Menachem; Shelah, Saharon 4 2018 Amenable colorings. Zbl 1431.03057 Garti, Shimon 3 2017 On the verge of inconsistency: Magidor cardinals and Magidor filters. Zbl 1412.03020 Garti, Shimon; Hayut, Yair; Shelah, Saharon 3 2017 Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. Zbl 1439.05085 Garti, Shimon; Magidor, Menachem; Shelah, Saharon 3 2020 Depth of Boolean algebras. Zbl 1236.03033 Garti, Shimon; Shelah, Saharon 2 2011 Dense free sets. Zbl 1403.03079 Garti, Shimon 2 2016 Random reals and polarized colorings. Zbl 1413.03008 Garti, Shimon; Shelah, Saharon 2 2018 On Depth and \(\text{Depth}^{+}\) of Boolean algebras. Zbl 1141.06010 Garti, Shimon; Shelah, Saharon 1 2008 Magidor cardinals. Zbl 1478.03074 Garti, Shimon; Hayut, Yair 1 2018 Stationary and closed rainbow subsets. Zbl 1498.03098 Garti, Shimon; Zhang, Jing 1 2021 On configurations concerning cardinal characteristics at regular cardinals. Zbl 1485.03204 Ben-Neria, Omer; Garti, Shimon 1 2020 Forcing axioms and the Galvin number. Zbl 1513.03087 Garti, Shimon; Hayut, Yair; Horowitz, Haim; Magidor, Menachem 1 2022 Polarized relations at singulars over successors. Zbl 1476.03067 Garti, Shimon 1 2020 Remarks on generalized ultrafilter, dominating and reaping numbers. Zbl 1484.03102 Garti, Shimon; Shelah, Saharon 1 2020 Double weakness. Zbl 1474.03123 Garti, S.; Shelah, S. 1 2021 Cardinal characteristics of the continuum and partitions. Zbl 1480.03035 Chen, William; Garti, Shimon; Weinert, Thilo 1 2020 The first omitting cardinal for Magidority. Zbl 1521.03200 Garti, Shimon; Hayut, Yair 1 2019 Unbalanced polarized relations. Zbl 1491.03034 Garti, Shimon 1 2021 Forcing axioms and the Galvin number. Zbl 1513.03087 Garti, Shimon; Hayut, Yair; Horowitz, Haim; Magidor, Menachem 1 2022 Stationary and closed rainbow subsets. Zbl 1498.03098 Garti, Shimon; Zhang, Jing 1 2021 Double weakness. Zbl 1474.03123 Garti, S.; Shelah, S. 1 2021 Unbalanced polarized relations. Zbl 1491.03034 Garti, Shimon 1 2021 Cardinal characteristics at \(\aleph_\omega\). Zbl 07200100 Garti, Shimon; Gitik, M.; Shelah, S. 5 2020 Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. Zbl 1439.05085 Garti, Shimon; Magidor, Menachem; Shelah, Saharon 3 2020 On configurations concerning cardinal characteristics at regular cardinals. Zbl 1485.03204 Ben-Neria, Omer; Garti, Shimon 1 2020 Polarized relations at singulars over successors. Zbl 1476.03067 Garti, Shimon 1 2020 Remarks on generalized ultrafilter, dominating and reaping numbers. Zbl 1484.03102 Garti, Shimon; Shelah, Saharon 1 2020 Cardinal characteristics of the continuum and partitions. Zbl 1480.03035 Chen, William; Garti, Shimon; Weinert, Thilo 1 2020 Weak prediction principles. Zbl 1443.03025 Ben-Neria, Omer; Garti, Shimon; Hayut, Yair 5 2019 The first omitting cardinal for Magidority. Zbl 1521.03200 Garti, Shimon; Hayut, Yair 1 2019 Tiltan. (Trèfle.) Zbl 1423.03163 Garti, Shimon 7 2018 On the spectrum of characters of ultrafilters. Zbl 1455.03059 Garti, Shimon; Magidor, Menachem; Shelah, Saharon 4 2018 Random reals and polarized colorings. Zbl 1413.03008 Garti, Shimon; Shelah, Saharon 2 2018 Magidor cardinals. Zbl 1478.03074 Garti, Shimon; Hayut, Yair 1 2018 Weak diamond and Galvin’s property. Zbl 1399.03012 Garti, S. 7 2017 Amenable colorings. Zbl 1431.03057 Garti, Shimon 3 2017 On the verge of inconsistency: Magidor cardinals and Magidor filters. Zbl 1412.03020 Garti, Shimon; Hayut, Yair; Shelah, Saharon 3 2017 Open and solved problems concerning polarized partition relations. Zbl 1522.03181 Garti, Shimon; Shelah, Saharon 6 2016 Dense free sets. Zbl 1403.03079 Garti, Shimon 2 2016 Partition calculus and cardinal invariants. Zbl 1322.03033 Garti, Shimon; Shelah, Saharon 13 2014 A strong polarized relation. Zbl 1270.03076 Garti, Shimon; Shelah, Saharon 15 2012 The ultrafilter number for singular cardinals. Zbl 1289.03030 Garti, S.; Shelah, S. 11 2012 Strong polarized relations for the continuum. Zbl 1270.03077 Garti, Shimon; Shelah, Saharon 7 2012 Combinatorial aspects of the splitting number. Zbl 1284.03222 Garti, Shimon; Shelah, Saharon 5 2012 Depth of Boolean algebras. Zbl 1236.03033 Garti, Shimon; Shelah, Saharon 2 2011 On Depth and \(\text{Depth}^{+}\) of Boolean algebras. Zbl 1141.06010 Garti, Shimon; Shelah, Saharon 1 2008 all cited Publications top 5 cited Publications all top 5 Cited by 40 Authors 28 Garti, Shimon 22 Shelah, Saharon 5 Hayut, Yair 3 Benhamou, Tom 3 Gitik, Moti 3 Magidor, Menachem 3 Raghavan, Dilip 2 Ben-Neria, Omer 2 Fischer, Vera 2 Golshani, Mohammad 2 Honzik, Radek 2 Montoya, Diana Carolina 2 Soukup, Dániel Tamás 2 Stejskalová, Šárka 2 Todorcevic, Stevo B. 2 Zhang, Jing 1 Brendle, Jörg 1 Brooke-Taylor, Andrew D. 1 Chen, William Barry 1 Friedman, Sy-David 1 Giti, M. 1 Horowitz, Haim 1 Inamdar, Tanmay C. 1 Khomskii, Yurii Daniilovich 1 Komjáth, Péter 1 Kuzeljević, Boriša 1 Laguzzi, Giorgio 1 Lambie-Hanson, Chris 1 Leader, Imre 1 Löwe, Benedikt 1 Matet, Pierre 1 Muthuvel, Kandasamy 1 Poveda, Alejandro 1 Rinot, Assaf 1 Russell, Paul A. 1 Schilhan, Jonathan 1 Sharankou, Ilya 1 Vidnyánszky, Zoltán 1 Villaveces, Andrés 1 Weinert, Thilo V. all top 5 Cited in 24 Serials 7 Acta Mathematica Hungarica 6 Fundamenta Mathematicae 5 Proceedings of the American Mathematical Society 3 Israel Journal of Mathematics 3 Journal of the Mathematical Society of Japan 3 Annals of Pure and Applied Logic 3 Archive for Mathematical Logic 3 Mathematical Logic Quarterly (MLQ) 2 The Journal of Symbolic Logic 2 Order 2 Annals of Combinatorics 2 Journal of Mathematical Logic 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 European Journal of Mathematics 1 Discrete Mathematics 1 Periodica Mathematica Hungarica 1 Algebra Universalis 1 Journal of the London Mathematical Society. Second Series 1 Notre Dame Journal of Formal Logic 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 The Electronic Journal of Combinatorics 1 Bollettino dell’Unione Matematica Italiana Cited in 4 Fields 55 Mathematical logic and foundations (03-XX) 5 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) Citations by Year