Edit Profile (opens in new tab) Shelah, Saharon Co-Author Distance Author ID: shelah.saharon Published as: Shelah, Saharon; Shelah, S. Further Spellings: Шелах, Сахарон Homepage: https://shelah.logic.at/ External Links: MacTutor · MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Awards: Wolf Prize (2001) Documents Indexed: 1,329 Publications since 1969, including 11 Books and 164 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 288 Co-Authors with 916 Joint Publications 4,805 Co-Co-Authors all top 5 Co-Authors 413 single-authored 38 Göbel, Rüdiger 38 Rosłanowski, Andrzej 30 Goldstern, Martin Robert 26 Mekler, Alan H. 24 Eklof, Paul C. 24 Gurevich, Yuri 23 Garti, Shimon 22 Baldwin, John T. 22 Steprāns, Juris 20 Malliaris, Maryanthe Elizabeth 19 Mildenberger, Heike 18 Golshani, Mohammad 18 Judah, Haim I. 17 Bartoszynski, Tomek 17 Džamonja, Mirna 17 Kellner, Jakob 16 Horowitz, Haim 16 Juhász, István 16 Kaplan, Itay 15 Komjáth, Péter 15 Paolini, Gianluca 15 Strüngmann, Lutz H. 14 Kojman, Menachem 14 Magidor, Menachem 13 Larson, Paul B. 13 Laskowski, Michael Chris 13 Stanley, Lee J. 12 Gitik, Moti 12 Soukup, Lajos 11 Dow, Alan S. 11 Hyttinen, Tapani 11 Väänänen, Jouko Antero 10 Abraham, Uri 10 Jech, Thomas J. 10 Spinas, Otmar 9 Blass, Andreas Raphael 8 Fuchino, Sakaé 8 Kumar, Ashutosh 8 Thomas, Simon R. 7 Grossberg, Rami P. 7 Herden, Daniel 7 Jin, Renling 7 Soifer, Alexander 7 Tsaban, Boaz 7 Väisänen, Pauli 6 Brendle, Jörg 6 Cherlin, Gregory L. 6 Halbeisen, Lorenz J. 6 Harrington, Leo A. 6 Hodges, Wilfrid 6 Lifsches, Shmuel 5 Asgharzadeh, Mohsen 5 Cummings, James 5 Fuchs, László 5 Hajnal, András 5 Ihoda, Jaime I. 5 Kennedy, Juliette Cara 5 Matet, Pierre 5 Mejía, Diego Alejandro 5 Raghavan, Dilip 5 Usvyatsov, Alexander 5 Zapletal, Jindřich 4 Coleman, Eoin 4 Devlin, Keith J. 4 Doron, Mor 4 Dugas, Manfred H. 4 Farah, Ilijas 4 Foreman, Matthew D. 4 Koppelberg, Sabine 4 Makowsky, Johann-Andreas 4 Milner, Eric Charles 4 Poór, Márk 4 Rubin, Matatyahu 3 Aharoni, Ron 3 Avraham, Uri 3 Baumgartner, James Earl 3 Ben-David, Shai 3 Ciesielski, Krzysztof Chris 3 Corson, Samuel M. 3 Droste, Manfred 3 Eisworth, Todd 3 Erdős, Pál 3 Geschke, Stefan 3 Greenberg, Noam 3 Holland, Wilbur Charles jun. 3 Hrušák, Michael 3 Kaufmann, Matt 3 Kubiś, Wiesław 3 Kuhlmann, Franz-Viktor 3 Kuhlmann, Salma 3 Lücke, Philipp Moritz 3 Mohsenipour, Shahram 3 Nash-Williams, Crispin St. John Alvah 3 Plati, Riccardo 3 Ramsey, Nicholas 3 Sageev, Gershon 3 Sági, Gábor 3 Spencer, Joel H. 3 Stavi, Jonathan 3 Szentmiklóssy, Zoltán ...and 190 more Co-Authors all top 5 Serials 157 Israel Journal of Mathematics 148 The Journal of Symbolic Logic 94 Annals of Pure and Applied Logic 72 Fundamenta Mathematicae 62 Archive for Mathematical Logic 57 Proceedings of the American Mathematical Society 40 Transactions of the American Mathematical Society 31 Notre Dame Journal of Formal Logic 27 Mathematical Logic Quarterly (MLQ) 19 Topology and its Applications 17 Acta Mathematica Hungarica 16 Algebra Universalis 13 Annals of Mathematical Logic 13 Journal of Mathematical Logic 12 Advances in Mathematics 12 Journal of Algebra 12 Journal of the London Mathematical Society. Second Series 11 Mathematica Japonica 11 Journal of Applied Analysis 10 Bulletin of the London Mathematical Society 10 Colloquium Mathematicum 8 Pacific Journal of Mathematics 7 Canadian Journal of Mathematics 7 Journal of Combinatorial Theory. Series A 7 Forum Mathematicum 6 Periodica Mathematica Hungarica 6 Journal of the American Mathematical Society 5 Communications in Algebra 5 Proceedings of the London Mathematical Society. Third Series 5 Real Analysis Exchange 5 Rendiconti del Seminario Matematico della Università di Padova 5 Combinatorica 5 Annals of Mathematics. Second Series 5 Scientiae Mathematicae Japonicae 5 Sarajevo Journal of Mathematics 4 Discrete Mathematics 4 Commentationes Mathematicae Universitatis Carolinae 4 Journal of Pure and Applied Algebra 4 Mathematische Zeitschrift 4 Random Structures & Algorithms 4 Bulletin of the American Mathematical Society. New Series 4 Journal of the European Mathematical Society (JEMS) 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Canadian Mathematical Bulletin 3 Illinois Journal of Mathematics 3 Journal of the Mathematical Society of Japan 3 Topology Proceedings 3 Geombinatorics 3 Annals of Combinatorics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Cubo 3 Tbilisi Mathematical Journal 3 Bollettino dell’Unione Matematica Italiana 2 Archiv für Mathematische Logik und Grundlagenforschung 2 Houston Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Information and Control 2 Journal of Combinatorial Theory. Series B 2 Journal of Graph Theory 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Reports on Mathematical Logic 2 Results in Mathematics 2 Studia Scientiarum Mathematicarum Hungarica 2 Advances in Applied Mathematics 2 Order 2 The Bulletin of Symbolic Logic 2 Journal of Group Theory 2 RIMS Kokyuroku 2 Journal of the Institute of Mathematics of Jussieu 2 Lecture Notes in Mathematics 2 Studies in Logic and the Foundations of Mathematics 2 Studies in Logic (London) 2 European Journal of Mathematics 1 Acta Mathematica 1 Algebra i Logika 1 American Journal of Mathematics 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Archiv der Mathematik 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the Association for Computing Machinery 1 Journal für die Reine und Angewandte Mathematik 1 Logique et Analyse. Nouvelle Série 1 Mathematics of Operations Research 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Computing 1 Theoretical Computer Science 1 Bulletin of the Greek Mathematical Society 1 European Journal of Combinatorics 1 Discrete & Computational Geometry 1 Internationale Mathematische Nachrichten 1 Journal of Logic and Computation 1 International Journal of Algebra and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Combinatorics, Probability and Computing ...and 17 more Serials all top 5 Fields 1,104 Mathematical logic and foundations (03-XX) 198 Group theory and generalizations (20-XX) 100 Order, lattices, ordered algebraic structures (06-XX) 98 Combinatorics (05-XX) 92 General topology (54-XX) 34 Commutative algebra (13-XX) 32 Measure and integration (28-XX) 25 Associative rings and algebras (16-XX) 18 General algebraic systems (08-XX) 15 Computer science (68-XX) 13 Functional analysis (46-XX) 12 Field theory and polynomials (12-XX) 10 Real functions (26-XX) 9 Category theory; homological algebra (18-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Topological groups, Lie groups (22-XX) 8 Probability theory and stochastic processes (60-XX) 5 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Algebraic topology (55-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 (04-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 979 Publications have been cited 10,296 times in 4,804 Documents Cited by ▼ Year ▼ Proper forcing. Zbl 0495.03035 Shelah, Saharon 253 1982 Proper and improper forcing. 2nd ed. Zbl 0889.03041 Shelah, Saharon 248 1998 Cardinal arithmetic. Zbl 0848.03025 Shelah, Saharon 204 1994 A combinatorial problem; stability and order for models and theories in infinitary languages. Zbl 0239.02024 Shelah, Saharon 191 1972 Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028 Foreman, M.; Magidor, M.; Shelah, Saharon 178 1988 Classification theory and the number of non-isomorphic models. 2nd rev. ed. Zbl 0713.03013 Shelah, Saharon 174 1990 Classification theory and the number of non-isomorphic models. Zbl 0388.03009 Shelah, S. 169 1978 Can you take Solovay’s inaccessible away? Zbl 0596.03055 Shelah, Saharon 128 1984 The monadic theory of order. Zbl 0345.02034 Shelah, Saharon 126 1975 Infinite Abelian groups, Whitehead problem and some constructions. Zbl 0318.02053 Shelah, Saharon 112 1974 A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\). Zbl 0403.03040 Devlin, Keith J.; Shelah, Saharon 87 1978 A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals. Zbl 0369.02034 Shelah, Saharon 84 1975 Simple unstable theories. Zbl 0489.03008 Shelah, Saharon 83 1980 There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed. Zbl 0634.03047 Blass, Andreas; Shelah, Saharon 79 1987 Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory. Zbl 0281.02052 Shelah, Saharon 75 1971 The small index property for \(\omega\)-stable \(\omega\)-categorical structures and for the random graph. Zbl 0788.03039 Hodges, Wilfrid; Hodkinson, Ian; Lascar, Daniel; Shelah, Saharon 69 1993 zero-one laws for sparse random graphs. Zbl 0647.05051 Shelah, Saharon; Spencer, Joel 66 1988 On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types. Zbl 0585.03019 Abraham, Uri; Rubin, Matatyahu; Shelah, Saharon 66 1985 Dependent first order theories, continued. Zbl 1195.03040 Shelah, Saharon 65 2009 Every two elementarily equivalent models have isomorphic ultrapowers. Zbl 0224.02045 Shelah, Saharon 63 1971 Classification theory for abstract elementary classes. Zbl 1225.03036 Shelah, Saharon 62 2009 Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\). Zbl 0552.03019 Shelah, Saharon 59 1983 Finite diagrams stable in power. Zbl 0204.31104 Shelah, S. 59 1970 Fixed-point extensions of first-order logic. Zbl 0621.03013 Gurevich, Yuri; Shelah, Saharon 56 1986 Categoricity for abstract classes with amalgamation. Zbl 0945.03049 Shelah, Saharon 53 1999 Reflecting stationary sets and successors of singular cardinals. Zbl 0742.03017 Shelah, Saharon 53 1991 Primitive recursive bounds for van der Waerden numbers. Zbl 0649.05010 Shelah, Saharon 52 1988 On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041 Gitik, Moti; Shelah, Saharon 52 1989 Diamonds. Zbl 1280.03047 Shelah, Saharon 47 2010 Some exact equiconsistency results in set theory. Zbl 0579.03039 Harrington, Leo; Shelah, Saharon 47 1985 On successors of singular cardinals. Zbl 0449.03045 Shelah, Saharon 46 1979 Toward classifying unstable theories. Zbl 0874.03043 Shelah, Saharon 46 1996 Advances in cardinal arithmetic. Zbl 0844.03028 Shelah, Saharon 45 1993 Remarks on superatomic Boolean algebras. Zbl 0643.03038 Baumgartner, James E.; Shelah, Saharon 43 1987 The tree property at successors of singular cardinals. Zbl 0874.03060 Magidor, Menachem; Shelah, Saharon 43 1996 The generalized continuum hypothesis revisited. Zbl 0955.03054 Shelah, Saharon 42 2000 Forcing closed unbounded sets. Zbl 0568.03024 Abraham, Uri; Shelah, Saharon 42 1983 Strongly dependent theories. Zbl 1371.03043 Shelah, Saharon 42 2014 When does almost free imply free? (For groups, transversals, etc.). Zbl 0819.20059 Magidor, Menachem; Shelah, Saharon 40 1994 Norms on possibilities. I: Forcing with trees and creatures. Zbl 0940.03059 Rosłanowski, Andrzej; Shelah, Saharon 39 1999 Toward categoricity for classes with no maximal models. Zbl 0945.03048 Shelah, Saharon; Villaveces, Andrés 38 1999 The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). Zbl 0718.03037 Judah, Haim; Shelah, Saharon 38 1990 Whitehead groups may not be free even assuming CH. II. Zbl 0467.03049 Shelah, Saharon 38 1980 A proof of Vaught’s conjecture for \(\omega\)-stable theories. Zbl 0584.03021 Shelah, S.; Harrington, L.; Makkai, M. 37 1984 On the strong equality between supercompactness and strong compactness. Zbl 0864.03036 Apter, Arthur W.; Shelah, Saharon 37 1997 Whitehead groups may be not free, even assuming CH. I. Zbl 0369.02035 Shelah, Saharon 37 1977 Ultrafilters with small generating sets. Zbl 0681.03033 Blass, Andreas; Shelah, Saharon 36 1989 The undecidability of the recursively enumerable degrees. Zbl 0518.03016 Harrington, Leo; Shelah, Saharon 36 1982 Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 1477.03125 Malliaris, M.; Shelah, S. 35 2016 Regularity lemmas for stable graphs. Zbl 1283.05234 Malliaris, M.; Shelah, S. 35 2014 Expected computation time for Hamiltonian path problem. Zbl 0654.68083 Gurevich, Yuri; Shelah, Saharon 33 1987 Generalized quantifiers and compact logic. Zbl 0322.02010 Shelah, Saharon 33 1975 Models with second order properties. II: Trees with no undefined branches. Zbl 0383.03019 Shelah, Saharon 33 1978 On \(\vartriangleleft^{*}\)-maximality. Zbl 1040.03029 Džamonja, Mirna; Shelah, Saharon 32 2004 A weak generalization of MA to higher cardinals. Zbl 0384.03032 Shelah, S. 32 1978 \(\Delta^ 1_ 2\)-sets of reals. Zbl 0668.03020 Ihoda, Jaime I.; Shelah, Saharon 30 1989 The bounded proper forcing axiom. Zbl 0819.03042 Goldstern, Martin; Shelah, Saharon 30 1995 Cardinal invariants above the continuum. Zbl 0835.03013 Cummings, James; Shelah, Saharon 30 1995 Categoricity of an abstract elementary class in two successive cardinals. Zbl 0999.03030 Shelah, Saharon 30 2001 Two cardinal invariants of the continuum \(({\mathfrak d} <{\mathfrak a})\) and FS linearly ordered iterated forcing. Zbl 1106.03044 Shelah, Saharon 30 2004 Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable. Zbl 0705.03028 Shelah, Saharon; Woodin, Hugh 30 1990 Categoricity over P for first order T or categoricity for \(\phi\) \(\in {\mathcal L}_{\omega_ 1\omega}\) can stop at \(\aleph_ k\) while holding for \(\aleph_ 0,\dots ,\aleph_{k-1}\). Zbl 0723.03017 Shelah, Saharon; Hart, Bradd 30 1990 Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012 Shelah, Saharon 30 2016 Non-forking frames in abstract elementary classes. Zbl 1315.03050 Jarden, Adi; Shelah, Saharon 30 2013 Souslin forcing. Zbl 0673.03039 Ihoda, Jaime I.; Shelah, Saharon 29 1988 The lazy model-theoretician’s guide to stability. Zbl 0359.02052 Shelah, Saharon 28 1975 Categoricity of theories in \(L_{\kappa \omega}\), with \(\kappa\) a compact cardinal. Zbl 0704.03015 Shelah, Saharon; Makkai, Michael 28 1990 On a problem of Kurosh, Jonsson groups, and applications. Zbl 0438.20025 Shelah, Saharon 28 1980 \(\Delta\)-logics and generalized quantifiers. Zbl 0346.02007 Makowsky, J. A.; Shelah, Saharon; Stavi, Jonathan 27 1976 Universal graphs with forbidden subgraphs and algebraic closure. Zbl 0928.03049 Cherlin, Gregory; Shelah, Saharon; Shi, Niandong 27 1999 Further cardinal arithmetic. Zbl 0864.03032 Shelah, Saharon 27 1996 Can the fundamental (homotopy) group of a space be the rationals? Zbl 0661.55012 Shelah, Saharon 26 1988 Choiceless polynomial time. Zbl 0936.03037 Blass, Andreas; Gurevich, Yuri; Shelah, Saharon 26 1999 Second-order quantifiers and the complexity of theories. Zbl 0596.03033 Baldwin, J. T.; Shelah, S. 26 1985 Classification of non elementary classes. II: Abstract elementary classes. Zbl 0639.03034 Shelah, Saharon 25 1987 Forcings with ideals and simple forcing notions. Zbl 0686.03027 Gitik, Moti; Shelah, Saharon 25 1989 PFA implies all automorphisms are trivial. Zbl 0691.03031 Shelah, Saharon; Steprāns, Juris 25 1988 Separability properties of almost-disjoint families of sets. Zbl 0246.05002 Erdős, Paul; Shelah, Saharon 25 1972 Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\). Zbl 0324.02038 Shelah, Saharon 25 1975 On random models of finite power and monadic logic. Zbl 0579.03006 Kaufmann, Matt; Shelah, Saharon 25 1985 Chang’s conjecture for \(\aleph_\omega\). Zbl 0696.03023 Levinski, Jean-Pierre; Magidor, Menachem; Shelah, Saharon 25 1990 Near coherence of filters. III: A simplified consistency proof. Zbl 0702.03030 Blass, Andreas; Shelah, Saharon 25 1989 Sacks forcing, Laver forcing, and Martin’s axiom. Zbl 0755.03026 Judah, Haim; Miller, Arnold W.; Shelah, Saharon 25 1992 Independence results. Zbl 0451.03017 Shelah, Saharon 25 1980 Martin’s axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic. Zbl 0457.03048 Avraham, Uri; Shelah, Saharon 25 1981 Rabin’s uniformization problem. Zbl 0537.03007 Gurevich, Yuri; Shelah, Saharon 24 1983 Strong splitting in stable homogeneous models. Zbl 0961.03028 Hyttinen, Tapani; Shelah, Saharon 24 2000 Isomorphism types of Aronszajn trees. Zbl 0566.03032 Abraham, U.; Shelah, S. 24 1985 Nonexistence of universal orders in many cardinals. Zbl 0790.03036 Kojman, Menachem; Shelah, Saharon 24 1992 Was Sierpinski right? I. Zbl 0657.03028 Shelah, Saharon 23 1988 Minimal bounded index subgroup for dependent theories. Zbl 1144.03026 Shelah, Saharon 23 2008 Exponentiation in power series fields. Zbl 0888.12004 Kuhlmann, Franz-Viktor; Kuhlmann, Salma; Shelah, Saharon 23 1997 Randomness and semigenericity. Zbl 0952.03029 Baldwin, John T.; Shelah, Saharon 23 1997 Uncountable universal locally finite groups. Zbl 0363.20032 Macintyre, Angus J.; Shelah, Saharon 23 1976 Classification theory for abstract elementary classes. Vol 2. Zbl 1225.03037 Shelah, Saharon 23 2009 On strong measure zero subsets of \({}^\kappa 2\). Zbl 0994.03038 Halko, Aapo; Shelah, Saharon 22 2001 Around classification theory of models. Zbl 0613.03009 Shelah, Saharon 22 1986 Cardinal arithmetic for skeptics. Zbl 0771.03017 Shelah, Saharon 22 1992 The \(\aleph_2\)-Souslin hypothesis. Zbl 0495.03034 Laver, Richard; Shelah, Saharon 21 1981 The spectrum problem. I: \(\aleph_{\epsilon}\)-saturated models, the main gap. Zbl 0532.03013 Shelah, Saharon 21 1982 Different cofinalities of tree ideals. Zbl 07695418 Shelah, Saharon; Spinas, Otmar 3 2023 Universality: new criterion for non-existence. Zbl 07680410 Shelah, Saharon 1 2023 Halfway new cardinal characteristics. Zbl 07719413 Brendle, Jörg; Halbeisen, Lorenz J.; Klausner, Lukas Daniel; Lischka, Marc; Shelah, Saharon 1 2023 Corrected iteration. Zbl 07730767 Shelah, Saharon 1 2023 Large strongly anti-Urysohn spaces exist. Zbl 1528.54002 Juhász, István; Shelah, Saharon; Soukup, Lajos; Szentmiklóssy, Zoltán 1 2023 The Keisler-Shelah isomorphism theorem and the continuum hypothesis. Zbl 07687299 Golshani, Mohammad; Shelah, Saharon 1 2023 Hanf numbers for extendibility and related phenomena. Zbl 07541619 Baldwin, John T.; Shelah, Saharon 3 2022 \(\kappa\)-madness and definability. Zbl 1521.03149 Horowitz, Haim; Shelah, Saharon 2 2022 Forcing axioms for \(\lambda \)-complete \(\mu^+\)-c.c. Zbl 1521.03204 Shelah, Saharon 1 2022 A separation theorem for simple theories. Zbl 07462181 Malliaris, M.; Shelah, S. 1 2022 Cichoń’s maximum without large cardinals. Zbl 07608245 Goldstern, Martin; Kellner, Jakob; Mejía, Diego A.; Shelah, Saharon 1 2022 Between reduced powers and ultrapowers. II. Zbl 07612785 Farah, Ilijas; Shelah, Saharon 1 2022 On the definability of mad families of vector spaces. Zbl 07483259 Horowitz, Haim; Shelah, Saharon 1 2022 The spectrum of independence. II. Zbl 07566293 Fischer, Vera; Shelah, Saharon 1 2022 First-order aspects of Coxeter groups. Zbl 1511.20141 Mühlherr, Bernhard; Paolini, Gianluca; Shelah, Saharon 1 2022 Countably compact groups without non-trivial convergent sequences. Zbl 1482.22002 Hrušák, M.; van Mill, J.; Ramos-García, U. A.; Shelah, S. 16 2021 Controlling cardinal characteristics without adding reals. Zbl 07419668 Goldstern, Martin; Kellner, Jakob; Mejía, Diego A.; Shelah, Saharon 4 2021 The higher Cichoń diagram. Zbl 1498.03115 Baumhauer, Thomas; Goldstern, Martin; Shelah, Saharon 4 2021 Ramsey theory for highly connected monochromatic subgraphs. Zbl 1474.03111 Bergfalk, J.; Hrušák, M.; Shelah, S. 4 2021 Keisler’s order is not simple (and simple theories may not be either). Zbl 07415199 Malliaris, M.; Shelah, S. 3 2021 Transcendence bases, well-orderings of the reals and the axiom of choice. Zbl 1498.03111 Horowitz, Haim; Shelah, Saharon 2 2021 Specializing trees and answer to a question of Williams. Zbl 1473.03030 Golshani, Mohammad; Shelah, Saharon 2 2021 Preservation of splitting families and cardinal characteristics of the continuum. Zbl 07513387 Goldstern, Martin; Kellner, Jakob; Mejía, Diego A.; Shelah, Saharon 1 2021 On some variants of the club principle. Zbl 1479.03018 Kumar, Ashutosh; Shelah, Saharon 1 2021 Universal graphs and functions on \(\omega_1\). Zbl 1485.03205 Shelah, Saharon; Steprāns, Juris 1 2021 Double weakness. Zbl 1474.03123 Garti, S.; Shelah, S. 1 2021 On wide Aronszajn trees in the presence of MA. Zbl 07370810 Džamonja, Mirna; Shelah, Saharon 1 2021 Characterizing the spectra of cardinalities of branches of Kurepa trees. Zbl 07383177 Poór, Márk; Shelah, Saharon 1 2021 Colouring of successor of regular, again. Zbl 1499.03036 Shelah, S. 1 2021 Criteria for exact saturation and singular compactness. Zbl 1485.03096 Kaplan, Itay; Ramsey, Nicholas; Shelah, Saharon 1 2021 Cardinal characteristics at \(\aleph_\omega\). Zbl 07200100 Garti, Shimon; Gitik, M.; Shelah, S. 5 2020 Quite free complicated abelian groups, pcf and black boxes. Zbl 1493.03007 Shelah, Saharon 4 2020 Automorphism groups of countable stable structures. Zbl 1496.03145 Paolini, Gianluca; Shelah, Saharon 4 2020 Strongly bounded groups of various cardinalities. Zbl 1497.20004 Corson, Samuel M.; Shelah, Saharon 3 2020 An example of a new simple theory. Zbl 1458.03026 Malliaris, M.; Shelah, S. 3 2020 Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. Zbl 1439.05085 Garti, Shimon; Magidor, Menachem; Shelah, Saharon 3 2020 A version of \(\kappa\)-Miller forcing. Zbl 1485.03192 Mildenberger, Heike; Shelah, Saharon 2 2020 A small ultrafilter number at smaller cardinals. Zbl 1481.03055 Raghavan, Dilip; Shelah, Saharon 2 2020 Superstable theories and representation. Zbl 1463.03008 Shelah, Saharon 1 2020 Remarks on generalized ultrafilter, dominating and reaping numbers. Zbl 1484.03102 Garti, Shimon; Shelah, Saharon 1 2020 On \(\mathrm{CON}(\mathfrak{d}_\lambda > \mathrm{cov}_\lambda(\mathrm{meagre}))\). Zbl 1481.03057 Shelah, Saharon 1 2020 Turing invariant sets and the perfect set property. Zbl 1521.03147 Hamel, Clovis; Horowitz, Haim; Shelah, Saharon 1 2020 No universal in singular. Zbl 1484.03056 Shelah, Saharon 1 2020 On \(\mathfrak{d}_{\mu}\) for \(\mu\) singular. Zbl 1463.03014 Shelah, S. 1 2020 Density of indecomposable locally finite groups. Zbl 1511.20007 Shelah, Saharon 1 2020 Cichoń’s maximum. Zbl 1493.03008 Goldstern, Martin; Kellner, Jakob; Shelah, Saharon 16 2019 Local character of Kim-independence. Zbl 07020582 Kaplan, Itay; Ramsey, Nicholas; Shelah, Saharon 14 2019 Reconstructing structures with the strong small index property up to bi-definability. Zbl 1480.03015 Paolini, Gianluca; Shelah, Saharon 8 2019 Another ordering of the ten cardinal characteristics in Cichoń’s diagram. Zbl 1463.03015 Kellner, Jakob; Shelah, Saharon; Tănasie, Anda R. 8 2019 A new look at interpretability and saturation. Zbl 1472.03030 Malliaris, M.; Shelah, S. 6 2019 The spectrum of independence. Zbl 1468.03059 Fischer, Vera; Shelah, Saharon 4 2019 The last forcing standing with diamonds. Zbl 1480.03049 Rosłanowski, Andrzej; Shelah, Saharon 4 2019 Polish topologies for graph products of groups. Zbl 07138355 Paolini, Gianluca; Shelah, Saharon 3 2019 Generalizing random real forcing for inaccessible cardinals. Zbl 1508.03082 Cohen, Shani; Shelah, Saharon 3 2019 On the non-existence of mad families. Zbl 1477.03211 Horowitz, Haim; Shelah, Saharon 3 2019 Infinite monochromatic sumsets for colourings of the reals. Zbl 07057728 Komjáth, Péter; Leader, Imre; Russell, Paul A.; Shelah, Saharon; Soukup, Dániel T.; Vidnyánszky, Zoltán 3 2019 The colouring existence theorem revisited. Zbl 1449.03014 Shelah, S. 2 2019 Compactness in singular cardinals revisited. Zbl 1449.03015 Shelah, Saharon 2 2019 Ultrafilter extensions do not preserve elementary equivalence. Zbl 1521.03080 Saveliev, Denis I.; Shelah, Saharon 2 2019 Note on finitary Hindman numbers. Zbl 1449.05238 Mohsenipour, Shahram; Shelah, Saharon 1 2019 Saturated null and meager ideal. Zbl 1477.03213 Kumar, Ashutosh; Shelah, Saharon 1 2019 Universal theories and compactly expandable models. Zbl 1441.03024 Casanovas, Enrique; Shelah, Saharon 1 2019 Minimal stable types in Banach spaces. Zbl 1454.03047 Shelah, Saharon; Usvyatsov, Alexander 1 2019 Pseudo P-points and splitting number. Zbl 1468.03054 Dow, Alan; Shelah, Saharon 1 2019 Borel sets without perfectly many overlapping translations. Zbl 07161694 Rosłanowski, Andrzej; Shelah, Saharon 1 2019 Keisler’s order has infinitely many classes. Zbl 1402.03045 Malliaris, Maryanthe; Shelah, Saharon 15 2018 On the cofinality of the splitting number. Zbl 1436.03260 Dow, Alan; Shelah, Saharon 12 2018 The automorphism group of Hall’s universal group. Zbl 1427.20043 Paolini, Gianluca; Shelah, Saharon 6 2018 Abstract elementary classes stable in \(\aleph_{0}\). Zbl 1469.03099 Shelah, Saharon; Vasey, Sebastien 5 2018 There is no bound on sizes of indecomposable Banach spaces. Zbl 1396.46015 Koszmider, Piotr; Shelah, Saharon; Świȩtek, Michał 5 2018 On the spectrum of characters of ultrafilters. Zbl 1455.03059 Garti, Shimon; Magidor, Menachem; Shelah, Saharon 4 2018 Small-large subgroups of the reals. Zbl 1441.03039 Rosłanowski, Andrzej; Shelah, Saharon 2 2018 Set mappings on 4-tuples. Zbl 1455.03060 Mohsenipour, Shahram; Shelah, Saharon 2 2018 The spectrum of ultraproducts of finite cardinals for an ultrafilter. Zbl 1424.03015 Shelah, S. 2 2018 Random reals and polarized colorings. Zbl 1413.03008 Garti, Shimon; Shelah, Saharon 2 2018 Clubs on quasi measurable cardinals. Zbl 1521.03181 Kumar, Ashutosh; Shelah, Saharon 1 2018 The abelianization of inverse limits of groups. Zbl 1443.20082 Barnea, Ilan; Shelah, Saharon 1 2018 Polish topologies for graph products of cyclic groups. Zbl 1459.03079 Paolini, Gianluca; Shelah, Saharon 1 2018 Asymmetric tie-points and almost clopen subsets of \(\mathbb{N}^*\). Zbl 1474.54083 Dow, Alan; Shelah, Saharon 1 2018 Creature forcing and five cardinal characteristics in Cichoń’s diagram. Zbl 1404.03040 Fischer, Arthur; Goldstern, Martin; Kellner, Jakob; Shelah, Saharon 14 2017 Universal structures. Zbl 1417.03231 Shelah, Saharon 10 2017 Two inequalities between cardinal invariants. Zbl 1420.03127 Raghavan, Dilip; Shelah, Saharon 10 2017 A parallel to the null ideal for inaccessible \(\lambda\). I. Zbl 1417.03266 Shelah, Saharon 9 2017 Definable groups for dependent and 2-dependent theories. Zbl 1424.03016 Shelah, Saharon 9 2017 Model-theoretic applications of cofinality spectrum problems. Zbl 1423.03177 Malliaris, Maryanthe; Shelah, Saharon 8 2017 On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility. Zbl 1423.03195 Raghavan, Dilip; Shelah, Saharon 8 2017 The nonstationary ideal on \(P_\kappa (\lambda )\) for \(\lambda \) singular. Zbl 1417.03250 Matet, Pierre; Shelah, Saharon 6 2017 Decidability and classification of the theory of integers with primes. Zbl 1422.03071 Kaplan, Itay; Shelah, Saharon 6 2017 Group metrics for graph products of cyclic groups. Zbl 1383.54036 Paolini, Gianluca; Shelah, Saharon 5 2017 Exact saturation in simple and NIP theories. Zbl 1420.03066 Kaplan, Itay; Shelah, Saharon; Simon, Pierre 5 2017 A framework for forcing constructions at successors of singular cardinals. Zbl 1423.03185 Cummings, James; Džamonja, Mirna; Magidor, Menachem; Morgan, Charles; Shelah, Saharon 5 2017 Open problems on ultrafilters and some connections to the continuum. Zbl 1402.03038 Malliaris, M.; Shelah, S. 4 2017 On the verge of inconsistency: Magidor cardinals and Magidor filters. Zbl 1412.03020 Garti, Shimon; Hayut, Yair; Shelah, Saharon 3 2017 A transversal of full outer measure. Zbl 1423.03187 Kumar, Ashutosh; Shelah, Saharon 2 2017 Existentially closed locally finite groups (Sh312). Zbl 1433.03090 Shelah, Saharon 2 2017 No uncountable Polish group can be a right-angled Artin group. Zbl 1422.20001 Paolini, Gianluca; Shelah, Saharon 2 2017 Avoiding equal distances. Zbl 1420.03131 Kumar, Ashutosh; Shelah, Saharon 1 2017 Closed sets which consistently have few translations covering the line. Zbl 1420.03126 Bartoszynski, Tomek; Larson, Paul; Shelah, Saharon 1 2017 Consistently \(\mathcal P(\omega_{1})\) is the union of less than \(2^{\aleph _1}\) strongly independent families. Zbl 1453.03054 Komjáth, Péter; Shelah, Saharon 1 2017 Failure of 0-1 law for sparse random graph in strong logics (Sh1062). Zbl 1433.03072 Shelah, Saharon 1 2017 ...and 879 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,696 Authors 597 Shelah, Saharon 52 Pillay, Anand 50 Apter, Arthur W. 50 Baldwin, John T. 49 Friedman, Sy-David 49 Gitik, Moti 46 Göbel, Rüdiger 43 Dow, Alan S. 43 Hyttinen, Tapani 40 Rinot, Assaf 37 Todorcevic, Stevo B. 34 Komjáth, Péter 33 Magidor, Menachem 33 Zdoms’kyĭ, Lyubomyr Sergiĭovych 32 Brendle, Jörg 32 Vasey, Sebastien 31 Hrušák, Michael 31 Zapletal, Jindřich 30 Matet, Pierre 29 Farah, Ilijas 29 Garti, Shimon 29 Koszmider, Piotr B. 29 Trlifaj, Jan jun. 28 Cummings, James 28 Eklof, Paul C. 28 Fischer, Vera 28 Gurevich, Yuri 28 Kaplan, Itay 28 Steprāns, Juris 27 Larson, Paul B. 27 Laskowski, Michael Chris 27 Mildenberger, Heike 26 Krueger, John 26 Soukup, Lajos 25 Asperó, David 25 Džamonja, Mirna 25 Mekler, Alan H. 25 Rabinovich, Alexander 25 Zhukovskiĭ, Maksim Evgen’evich 24 Blass, Andreas Raphael 24 Lambie-Hanson, Chris 24 Malliaris, Maryanthe Elizabeth 23 Nešetřil, Jaroslav 22 Goldstern, Martin Robert 22 Kojman, Menachem 21 Bagaria, Joan 21 Chernikov, Artem 21 Tall, Franklin D. 20 Golshani, Mohammad 20 Rosłanowski, Andrzej 19 Cox, Sean D. 19 Guzmán González, Osvaldo 19 Hrushovski, Ehud 19 Juhász, István 19 Kellner, Jakob 19 Spinas, Otmar 19 Tsaban, Boaz 19 Velickovic, Boban 18 Dugas, Manfred H. 18 Foreman, Matthew D. 18 Hamkins, Joel David 18 Hayut, Yair 18 Judah, Haim I. 18 Rubin, Matatyahu 18 Schindler, Ralf-Dieter 18 Sinapova, Dima 18 Väänänen, Jouko Antero 17 Conant, Gabriel 17 Eisworth, Todd 17 Kim, Byunghan 17 Kuhlmann, Salma 17 Lücke, Philipp Moritz 17 Simon, Pierre 16 Boney, Will 16 Moore, Justin Tatch 16 Raghavan, Dilip 15 Banakh, Taras Onufrievich 15 Bartoszynski, Tomek 15 Grossberg, Rami P. 14 Anstee, Richard P. 14 Enayat, Ali 14 Kurilić, Miloš S. 14 Mejía, Diego Alejandro 14 Strüngmann, Lutz H. 14 Usuba, Toshimichi 13 Dobrinen, Natasha L. 13 Droste, Manfred 13 Eskew, Monroe 13 Fuchs, László 13 Geschke, Stefan 13 Jin, Renling 13 Newelski, Ludomir 13 Schlicht, Philipp 13 Schmerl, James H. 13 Unger, Spencer T. 13 van Mill, Jan 12 Mitchell, James D. 12 Nyikos, Peter J. 12 Sayed Ahmed, Tarek 12 Soukup, Dániel Tamás ...and 2,596 more Authors all top 5 Cited in 325 Serials 575 The Journal of Symbolic Logic 509 Annals of Pure and Applied Logic 344 Israel Journal of Mathematics 296 Topology and its Applications 269 Archive for Mathematical Logic 220 Proceedings of the American Mathematical Society 183 Transactions of the American Mathematical Society 160 Mathematical Logic Quarterly (MLQ) 88 The Bulletin of Symbolic Logic 80 Fundamenta Mathematicae 75 Journal of Mathematical Logic 74 Advances in Mathematics 71 Notre Dame Journal of Formal Logic 66 Journal of Algebra 64 Discrete Mathematics 61 Algebra Universalis 53 Theoretical Computer Science 43 Algebra and Logic 41 Acta Mathematica Hungarica 33 Journal of Pure and Applied Algebra 30 European Journal of Combinatorics 30 Information and Computation 28 Journal of Combinatorial Theory. Series A 28 Order 26 Communications in Algebra 26 Journal of Computer and System Sciences 24 Journal of Combinatorial Theory. Series B 22 Rendiconti del Seminario Matematico della Università di Padova 21 Siberian Mathematical Journal 20 Discrete Applied Mathematics 20 Journal of Mathematical Sciences (New York) 20 The Electronic Journal of Combinatorics 19 Journal of Mathematical Analysis and Applications 19 Mathematische Zeitschrift 19 Journal of the American Mathematical Society 17 Forum Mathematicum 17 Filomat 15 Periodica Mathematica Hungarica 15 Journal of Functional Analysis 15 SIAM Journal on Discrete Mathematics 14 Combinatorica 14 Discrete & Computational Geometry 14 Random Structures & Algorithms 13 Archiv für Mathematische Logik und Grundlagenforschung 13 Rocky Mountain Journal of Mathematics 13 Journal of the European Mathematical Society (JEMS) 13 European Journal of Mathematics 12 Information Processing Letters 12 Bulletin of the London Mathematical Society 12 Studia Logica 12 Graphs and Combinatorics 12 International Journal of Algebra and Computation 12 Logical Methods in Computer Science 11 Monatshefte für Mathematik 11 Synthese 11 Doklady Mathematics 11 Forum of Mathematics, Sigma 10 Bulletin of the Australian Mathematical Society 10 Mathematical Notes 10 Archiv der Mathematik 10 Czechoslovak Mathematical Journal 10 Journal of Applied Analysis 10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 Semigroup Forum 9 Annals of Mathematics and Artificial Intelligence 9 Journal of Group Theory 9 Central European Journal of Mathematics 8 Journal of the London Mathematical Society. Second Series 8 Journal of the Mathematical Society of Japan 8 Journal of Soviet Mathematics 8 Mathematische Annalen 8 Memoirs of the American Mathematical Society 8 Bulletin of the American Mathematical Society. New Series 8 Topology Proceedings 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Acta Mathematica 7 Commentationes Mathematicae Universitatis Carolinae 7 Results in Mathematics 7 Bulletin of the Polish Academy of Sciences, Mathematics 7 Combinatorics, Probability and Computing 7 Selecta Mathematica. New Series 7 Matematicheskie Trudy 7 The Review of Symbolic Logic 6 Problems of Information Transmission 6 Colloquium Mathematicum 6 Mathematika 6 Pacific Journal of Mathematics 6 SIAM Journal on Computing 6 Georgian Mathematical Journal 6 Journal of the Institute of Mathematics of Jussieu 6 Oberwolfach Reports 6 Sarajevo Journal of Mathematics 6 Bollettino dell’Unione Matematica Italiana 5 Canadian Journal of Mathematics 5 Journal of Graph Theory 5 Computational Complexity 5 Journal of Applied Non-Classical Logics 5 Theory of Computing Systems 5 Journal of Algebra and its Applications 4 Compositio Mathematica ...and 225 more Serials all top 5 Cited in 55 Fields 3,605 Mathematical logic and foundations (03-XX) 631 General topology (54-XX) 591 Combinatorics (05-XX) 500 Group theory and generalizations (20-XX) 325 Computer science (68-XX) 297 Order, lattices, ordered algebraic structures (06-XX) 160 Functional analysis (46-XX) 145 Associative rings and algebras (16-XX) 140 Measure and integration (28-XX) 134 Topological groups, Lie groups (22-XX) 125 General algebraic systems (08-XX) 113 Commutative algebra (13-XX) 112 Field theory and polynomials (12-XX) 94 Category theory; homological algebra (18-XX) 70 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 59 Probability theory and stochastic processes (60-XX) 53 Number theory (11-XX) 51 Dynamical systems and ergodic theory (37-XX) 48 General and overarching topics; collections (00-XX) 47 Convex and discrete geometry (52-XX) 46 History and biography (01-XX) 42 Algebraic topology (55-XX) 40 Real functions (26-XX) 31 Manifolds and cell complexes (57-XX) 27 Algebraic geometry (14-XX) 26 Operations research, mathematical programming (90-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 21 Operator theory (47-XX) 15 Geometry (51-XX) 12 Approximations and expansions (41-XX) 12 Statistics (62-XX) 11 Abstract harmonic analysis (43-XX) 11 Information and communication theory, circuits (94-XX) 10 Sequences, series, summability (40-XX) 9 Functions of a complex variable (30-XX) 6 Biology and other natural sciences (92-XX) 5 Nonassociative rings and algebras (17-XX) 5 \(K\)-theory (19-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Numerical analysis (65-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 3 Differential geometry (53-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 (04-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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