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Homepage: http://shelah.logic.at/ External Links: MacTutor · MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef Awards: Wolf Prize (2001) Documents Indexed: 1,137 Publications since 1969, including 11 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 276 Co-Authors with 798 Joint Publications 4,399 Co-Co-Authors all top 5 Co-Authors 339 single-authored 35 Göbel, Rüdiger 35 Rosłanowski, Andrzej 27 Goldstern, Martin Robert 26 Mekler, Alan H. 23 Eklof, Paul C. 22 Gurevich, Yuri 20 Baldwin, John T. 19 Garti, Shimon 19 Steprāns, Juris 18 Judah, Haim I. 18 Mildenberger, Heike 17 Malliaris, Maryanthe Elizabeth 16 Bartoszynski, Tomek 15 Kellner, Jakob 14 Juhász, István 14 Kaplan, Itay 14 Komjáth, Péter 14 Magidor, Menachem 13 Džamonja, Mirna 13 Kojman, Menachem 13 Strüngmann, Lutz H. 12 Gitik, Moti 12 Stanley, Lee J. 11 Hyttinen, Tapani 11 Laskowski, Michael Chris 11 Soukup, Lajos 10 Abraham, Uri 10 Jech, Thomas J. 10 Larson, Paul B. 10 Paolini, Gianluca 10 Väänänen, Jouko Antero 9 Blass, Andreas Raphael 9 Spinas, Otmar 8 Dow, Alan S. 8 Fuchino, Sakaé 8 Kumar, Ashutosh 8 Thomas, Simon R. 7 Herden, Daniel 7 Jin, Renling 7 Soifer, Alexander 7 Tsaban, Boaz 6 Cherlin, Gregory L. 6 Grossberg, Rami P. 6 Harrington, Leo A. 6 Hodges, Wilfrid 6 Väisänen, Pauli 5 Cummings, James 5 Fuchs, László 5 Ihoda, Jaime I. 5 Kennedy, Juliette Cara 5 Lifsches, Shmuel 5 Mejía, Diego Alejandro 5 Zapletal, Jindřich 4 Brendle, Jörg 4 Coleman, Eoin 4 Devlin, Keith J. 4 Dugas, Manfred H. 4 Farah, Ilijas 4 Foreman, Matthew D. 4 Hajnal, András 4 Horowitz, Haim 4 Koppelberg, Sabine 4 Makowsky, Johann-Andreas 4 Matet, Pierre 4 Milner, Eric Charles 4 Raghavan, Dilip 4 Rubin, Matatyahu 3 Aharoni, Ron 3 Avraham, Uri 3 Baumgartner, James Earl 3 Ben-David, Shai 3 Ciesielski, Krzysztof Chris 3 Doron, Mor 3 Droste, Manfred 3 Eisworth, Todd 3 Erdős, Pál 3 Geschke, Stefan 3 Golshani, Mohammad 3 Halbeisen, Lorenz J. 3 Holland, Wilbur Charles jun. 3 Kaufmann, Matt 3 Kubiś, Wiesław 3 Kuhlmann, Franz-Viktor 3 Kuhlmann, Salma 3 Nash-Williams, Crispin St. John Alvah 3 Sági, Gábor 3 Spencer, Joel H. 3 Stavi, Jonathan 3 Szentmiklóssy, Zoltán 3 Usvyatsov, Alexander 3 Villaveces, Andrés 3 Woodin, W. Hugh 2 Apter, Arthur W. 2 Bonnet, Robert 2 Chernikov, Artem 2 Corson, Samuel M. 2 Dror Farjoun, Emmanuel 2 Fischer, Vera 2 Fremlin, David H. 2 Gilchrist, Martin Philip ...and 178 more Co-Authors all top 5 Serials 157 Israel Journal of Mathematics 147 The Journal of Symbolic Logic 89 Annals of Pure and Applied Logic 71 Fundamenta Mathematicae 60 Archive for Mathematical Logic 56 Proceedings of the American Mathematical Society 40 Transactions of the American Mathematical Society 31 Notre Dame Journal of Formal Logic 22 Mathematical Logic Quarterly (MLQ) 18 Topology and its Applications 16 Acta Mathematica Hungarica 15 Algebra Universalis 13 Annals 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 11 Journal of Mathematical Logic 10 Bulletin of the London Mathematical Society 10 Colloquium Mathematicum 7 Canadian Journal of Mathematics 7 Journal of Combinatorial Theory. Series A 7 Pacific Journal of Mathematics 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 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 Rendiconti del Seminario Matematico della Università di Padova 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 Cubo 3 Tbilisi Mathematical Journal 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 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 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 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Congressus Numerantium ...and 16 more Serials all top 5 Fields 1,031 Mathematical logic and foundations (03-XX) 186 Group theory and generalizations (20-XX) 95 Order, lattices, ordered algebraic structures (06-XX) 93 Combinatorics (05-XX) 89 General topology (54-XX) 32 Commutative algebra (13-XX) 30 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) 11 Field theory and polynomials (12-XX) 10 Real functions (26-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Category theory; homological algebra (18-XX) 8 Probability theory and stochastic processes (60-XX) 7 Topological groups, Lie groups (22-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 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 936 Publications have been cited 9,105 times in 4,308 Documents Cited by ▼ Year ▼ Proper forcing. Zbl 0495.03035Shelah, Saharon 222 1982 Proper and improper forcing. 2nd ed. Zbl 0889.03041Shelah, Saharon 209 1998 A combinatorial problem; stability and order for models and theories in infinitary languages. Zbl 0239.02024Shelah, Saharon 173 1972 Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028Foreman, M.; Magidor, M.; Shelah, Saharon 165 1988 Cardinal arithmetic. Zbl 0848.03025Shelah, Saharon 153 1994 Classification theory and the number of non-isomorphic models. Zbl 0388.03009Shelah, S. 147 1978 Classification theory and the number of non-isomorphic models. 2nd rev. ed. Zbl 0713.03013Shelah, Saharon 123 1990 Can you take Solovay’s inaccessible away? Zbl 0596.03055Shelah, Saharon 114 1984 The monadic theory of order. Zbl 0345.02034Shelah, Saharon 113 1975 Infinite Abelian groups, Whitehead problem and some constructions. Zbl 0318.02053Shelah, Saharon 105 1974 A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals. Zbl 0369.02034Shelah, Saharon 84 1975 A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\). Zbl 0403.03040Devlin, Keith J.; Shelah, Saharon 83 1978 Simple unstable theories. Zbl 0489.03008Shelah, Saharon 77 1980 There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed. Zbl 0634.03047Blass, Andreas; Shelah, Saharon 72 1987 Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory. Zbl 0281.02052Shelah, Saharon 71 1971 On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types. Zbl 0585.03019Abraham, Uri; Rubin, Matatyahu; Shelah, Saharon 63 1985 The small index property for \(\omega\)-stable \(\omega\)-categorical structures and for the random graph. Zbl 0788.03039Hodges, Wilfrid; Hodkinson, Ian; Lascar, Daniel; Shelah, Saharon 62 1993 zero-one laws for sparse random graphs. Zbl 0647.05051Shelah, Saharon; Spencer, Joel 59 1988 Dependent first order theories, continued. Zbl 1195.03040Shelah, Saharon 58 2009 Every two elementarily equivalent models have isomorphic ultrapowers. Zbl 0224.02045Shelah, Saharon 57 1971 Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\). Zbl 0552.03019Shelah, Saharon 55 1983 Finite diagrams stable in power. Zbl 0204.31104Shelah, S. 54 1970 Fixed-point extensions of first-order logic. Zbl 0621.03013Gurevich, Yuri; Shelah, Saharon 51 1986 On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041Gitik, Moti; Shelah, Saharon 50 1989 Categoricity for abstract classes with amalgamation. Zbl 0945.03049Shelah, Saharon 48 1999 Classification theory for abstract elementary classes. Zbl 1225.03036Shelah, Saharon 48 2009 Reflecting stationary sets and successors of singular cardinals. Zbl 0742.03017Shelah, Saharon 47 1991 Toward classifying unstable theories. Zbl 0874.03043Shelah, Saharon 44 1996 Primitive recursive bounds for van der Waerden numbers. Zbl 0649.05010Shelah, Saharon 44 1988 Some exact equiconsistency results in set theory. Zbl 0579.03039Harrington, Leo; Shelah, Saharon 43 1985 Remarks on superatomic Boolean algebras. Zbl 0643.03038Baumgartner, James E.; Shelah, Saharon 42 1987 Forcing closed unbounded sets. Zbl 0568.03024Abraham, Uri; Shelah, Saharon 42 1983 Diamonds. Zbl 1280.03047Shelah, Saharon 41 2010 The tree property at successors of singular cardinals. Zbl 0874.03060Magidor, Menachem; Shelah, Saharon 39 1996 Whitehead groups may not be free even assuming CH. II. Zbl 0467.03049Shelah, Saharon 38 1980 Advances in cardinal arithmetic. Zbl 0844.03028Shelah, Saharon 38 1993 When does almost free imply free? (For groups, transversals, etc.). Zbl 0819.20059Magidor, Menachem; Shelah, Saharon 37 1994 Whitehead groups may be not free, even assuming CH. I. Zbl 0369.02035Shelah, Saharon 36 1977 The undecidability of the recursively enumerable degrees. Zbl 0518.03016Harrington, Leo; Shelah, Saharon 36 1982 A proof of Vaught’s conjecture for \(\omega\)-stable theories. Zbl 0584.03021Shelah, S.; Harrington, L.; Makkai, M. 36 1984 Toward categoricity for classes with no maximal models. Zbl 0945.03048Shelah, Saharon; Villaveces, Andrés 35 1999 Norms on possibilities. I: Forcing with trees and creatures. Zbl 0940.03059Rosłanowski, Andrzej; Shelah, Saharon 34 1999 The generalized continuum hypothesis revisited. Zbl 0955.03054Shelah, Saharon 33 2000 On the strong equality between supercompactness and strong compactness. Zbl 0864.03036Apter, Arthur W.; Shelah, Saharon 33 1997 The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). Zbl 0718.03037Judah, Haim; Shelah, Saharon 33 1990 Models with second order properties. II: Trees with no undefined branches. Zbl 0383.03019Shelah, Saharon 32 1978 On successors of singular cardinals. Zbl 0449.03045Shelah, Saharon 32 1979 Strongly dependent theories. Zbl 1371.03043Shelah, Saharon 32 2014 Ultrafilters with small generating sets. Zbl 0681.03033Blass, Andreas; Shelah, Saharon 31 1989 Generalized quantifiers and compact logic. Zbl 0322.02010Shelah, Saharon 30 1975 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 0723.03017Shelah, Saharon; Hart, Bradd 30 1990 \(\Delta^ 1_ 2\)-sets of reals. Zbl 0668.03020Ihoda, Jaime I.; Shelah, Saharon 30 1989 Non-forking frames in abstract elementary classes. Zbl 1315.03050Jarden, Adi; Shelah, Saharon 30 2013 Categoricity of an abstract elementary class in two successive cardinals. Zbl 0999.03030Shelah, Saharon 29 2001 Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 1477.03125Malliaris, M.; Shelah, S. 29 2016 Expected computation time for Hamiltonian path problem. Zbl 0654.68083Gurevich, Yuri; Shelah, Saharon 28 1987 A weak generalization of MA to higher cardinals. Zbl 0384.03032Shelah, S. 27 1978 Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable. Zbl 0705.03028Shelah, Saharon; Woodin, Hugh 27 1990 \(\Delta\)-logics and generalized quantifiers. Zbl 0346.02007Makowsky, J. A.; Shelah, Saharon; Stavi, Jonathan 26 1976 Two cardinal invariants of the continuum \(({\mathfrak d} <{\mathfrak a})\) and FS linearly ordered iterated forcing. Zbl 1106.03044Shelah, Saharon 26 2004 The bounded proper forcing axiom. Zbl 0819.03042Goldstern, Martin; Shelah, Saharon 26 1995 Cardinal invariants above the continuum. Zbl 0835.03013Cummings, James; Shelah, Saharon 26 1995 Regularity lemmas for stable graphs. Zbl 1283.05234Malliaris, M.; Shelah, S. 26 2014 PFA implies all automorphisms are trivial. Zbl 0691.03031Shelah, Saharon; Steprāns, Juris 26 1988 Categoricity of theories in \(L_{\kappa \omega}\), with \(\kappa\) a compact cardinal. Zbl 0704.03015Shelah, Saharon; Makkai, Michael 26 1990 Universal graphs with forbidden subgraphs and algebraic closure. Zbl 0928.03049Cherlin, Gregory; Shelah, Saharon; Shi, Niandong 25 1999 On \(\vartriangleleft^{*}\)-maximality. Zbl 1040.03029Džamonja, Mirna; Shelah, Saharon 25 2004 Souslin forcing. Zbl 0673.03039Ihoda, Jaime I.; Shelah, Saharon 25 1988 Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012Shelah, Saharon 25 2016 On random models of finite power and monadic logic. Zbl 0579.03006Kaufmann, Matt; Shelah, Saharon 25 1985 The lazy model-theoretician’s guide to stability. Zbl 0359.02052Shelah, Saharon 24 1975 Independence results. Zbl 0451.03017Shelah, Saharon 24 1980 Can the fundamental (homotopy) group of a space be the rationals? Zbl 0661.55012Shelah, Saharon 24 1988 Nonexistence of universal orders in many cardinals. Zbl 0790.03036Kojman, Menachem; Shelah, Saharon 24 1992 Sacks forcing, Laver forcing, and Martin’s axiom. Zbl 0755.03026Judah, Haim; Miller, Arnold W.; Shelah, Saharon 24 1992 Second-order quantifiers and the complexity of theories. Zbl 0596.03033Baldwin, J. T.; Shelah, S. 24 1985 Martin’s axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic. Zbl 0457.03048Avraham, Uri; Shelah, Saharon 23 1981 Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\). Zbl 0324.02038Shelah, Saharon 23 1975 Choiceless polynomial time. Zbl 0936.03037Blass, Andreas; Gurevich, Yuri; Shelah, Saharon 23 1999 Forcings with ideals and simple forcing notions. Zbl 0686.03027Gitik, Moti; Shelah, Saharon 23 1989 Chang’s conjecture for \(\aleph_\omega\). Zbl 0696.03023Levinski, Jean-Pierre; Magidor, Menachem; Shelah, Saharon 23 1990 Near coherence of filters. III: A simplified consistency proof. Zbl 0702.03030Blass, Andreas; Shelah, Saharon 23 1989 Classification theory for abstract elementary classes. Vol 2. Zbl 1225.03037Shelah, Saharon 23 2009 Strong splitting in stable homogeneous models. Zbl 0961.03028Hyttinen, Tapani; Shelah, Saharon 22 2000 Randomness and semigenericity. Zbl 0952.03029Baldwin, John T.; Shelah, Saharon 22 1997 Further cardinal arithmetic. Zbl 0864.03032Shelah, Saharon 22 1996 Was Sierpinski right? I. Zbl 0657.03028Shelah, Saharon 22 1988 Uncountable universal locally finite groups. Zbl 0363.20032Macintyre, Angus J.; Shelah, Saharon 21 1976 Incompactness in regular cardinals. Zbl 0617.03025Shelah, Saharon 21 1985 Minimal bounded index subgroup for dependent theories. Zbl 1144.03026Shelah, Saharon 21 2008 The spectrum problem. I: \(\aleph_{\epsilon}\)-saturated models, the main gap. Zbl 0532.03013Shelah, Saharon 21 1982 Isomorphism types of Aronszajn trees. Zbl 0566.03032Abraham, U.; Shelah, S. 21 1985 Classification of first order theories which have a structure theorem. Zbl 0578.03016Shelah, Saharon 21 1985 On strong measure zero subsets of \({}^\kappa 2\). Zbl 0994.03038Halko, Aapo; Shelah, Saharon 20 2001 Separability properties of almost-disjoint families of sets. Zbl 0246.05002Erdős, Paul; Shelah, Saharon 20 1972 Ultrafilters on \(\omega\) – their ideals and their cardinal characteristics. Zbl 0927.03073Brendle, Jörg; Shelah, Saharon 20 1999 Exponentiation in power series fields. Zbl 0888.12004Kuhlmann, Franz-Viktor; Kuhlmann, Salma; Shelah, Saharon 20 1997 On what I do not understand (and have something to say), model theory. Zbl 0965.03042Shelah, Saharon 20 2000 Cotorsion theories and splitters. Zbl 0962.20039Göbel, Rüdiger; Shelah, Saharon 20 2000 Uniqueness and characterization of prime models over sets for totally transcendental first-order theories. Zbl 0247.02047Shelah, Saharon 19 1972 Hanf numbers for extendibility and related phenomena. Zbl 07541619Baldwin, John T.; Shelah, Saharon 1 2022 Countably compact groups without non-trivial convergent sequences. Zbl 1482.22002Hrušák, M.; van Mill, J.; Ramos-García, U. A.; Shelah, S. 9 2021 Keisler’s order is not simple (and simple theories may not be either). Zbl 07415199Malliaris, M.; Shelah, S. 2 2021 Controlling cardinal characteristics without adding reals. Zbl 07419668Goldstern, Martin; Kellner, Jakob; Mejía, Diego A.; Shelah, Saharon 2 2021 On some variants of the club principle. Zbl 1479.03018Kumar, Ashutosh; Shelah, Saharon 1 2021 Universal graphs and functions on \(\omega_1\). Zbl 1485.03205Shelah, Saharon; Steprāns, Juris 1 2021 Ramsey theory for highly connected monochromatic subgraphs. Zbl 1474.03111Bergfalk, J.; Hrušák, M.; Shelah, S. 1 2021 Double weakness. Zbl 1474.03123Garti, S.; Shelah, S. 1 2021 Transcendence bases, well-orderings of the reals and the axiom of choice. Zbl 1498.03111Horowitz, Haim; Shelah, Saharon 1 2021 The higher Cichoń diagram. Zbl 1498.03115Baumhauer, Thomas; Goldstern, Martin; Shelah, Saharon 1 2021 Cardinal characteristics at \(\aleph_\omega\). Zbl 07200100Garti, Shimon; Gitik, M.; Shelah, S. 5 2020 Quite free complicated abelian groups, pcf and black boxes. Zbl 1493.03007Shelah, Saharon 2 2020 A small ultrafilter number at smaller cardinals. Zbl 1481.03055Raghavan, Dilip; Shelah, Saharon 2 2020 Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. Zbl 1439.05085Garti, Shimon; Magidor, Menachem; Shelah, Saharon 2 2020 An example of a new simple theory. Zbl 1458.03026Malliaris, M.; Shelah, S. 1 2020 Superstable theories and representation. Zbl 1463.03008Shelah, Saharon 1 2020 Automorphism groups of countable stable structures. Zbl 1496.03145Paolini, Gianluca; Shelah, Saharon 1 2020 Strongly bounded groups of various cardinalities. Zbl 1497.20004Corson, Samuel M.; Shelah, Saharon 1 2020 Cichoń’s maximum. Zbl 1493.03008Goldstern, Martin; Kellner, Jakob; Shelah, Saharon 11 2019 Local character of Kim-independence. Zbl 07020582Kaplan, Itay; Ramsey, Nicholas; Shelah, Saharon 10 2019 Reconstructing structures with the strong small index property up to bi-definability. Zbl 1480.03015Paolini, Gianluca; Shelah, Saharon 6 2019 Another ordering of the ten cardinal characteristics in Cichoń’s diagram. Zbl 1463.03015Kellner, Jakob; Shelah, Saharon; Tănasie, Anda R. 6 2019 The last forcing standing with diamonds. Zbl 1480.03049Rosłanowski, Andrzej; Shelah, Saharon 3 2019 A new look at interpretability and saturation. Zbl 1472.03030Malliaris, M.; Shelah, S. 3 2019 Infinite monochromatic sumsets for colourings of the reals. Zbl 07057728Komjáth, Péter; Leader, Imre; Russell, Paul A.; Shelah, Saharon; Soukup, Dániel T.; Vidnyánszky, Zoltán 2 2019 Compactness in singular cardinals revisited. Zbl 1449.03015Shelah, Saharon 2 2019 The spectrum of independence. Zbl 1468.03059Fischer, Vera; Shelah, Saharon 1 2019 Pseudo P-points and splitting number. Zbl 1468.03054Dow, Alan; Shelah, Saharon 1 2019 The colouring existence theorem revisited. Zbl 1449.03014Shelah, S. 1 2019 Polish topologies for graph products of groups. Zbl 07138355Paolini, Gianluca; Shelah, Saharon 1 2019 Generalizing random real forcing for inaccessible cardinals. Zbl 07143822Cohen, Shani; Shelah, Saharon 1 2019 Note on finitary Hindman numbers. Zbl 1449.05238Mohsenipour, Shahram; Shelah, Saharon 1 2019 Universal theories and compactly expandable models. Zbl 1441.03024Casanovas, Enrique; Shelah, Saharon 1 2019 Saturated null and meager ideal. Zbl 1477.03213Kumar, Ashutosh; Shelah, Saharon 1 2019 On the non-existence of mad families. Zbl 1477.03211Horowitz, Haim; Shelah, Saharon 1 2019 Borel sets without perfectly many overlapping translations. Zbl 07161694Rosłanowski, Andrzej; Shelah, Saharon 1 2019 Ultrafilter extensions do not preserve elementary equivalence. Zbl 07197339Saveliev, Denis I.; Shelah, Saharon 1 2019 Keisler’s order has infinitely many classes. Zbl 1402.03045Malliaris, Maryanthe; Shelah, Saharon 12 2018 On the cofinality of the splitting number. Zbl 1436.03260Dow, Alan; Shelah, Saharon 8 2018 The automorphism group of Hall’s universal group. Zbl 1427.20043Paolini, Gianluca; Shelah, Saharon 5 2018 On the spectrum of characters of ultrafilters. Zbl 1455.03059Garti, Shimon; Magidor, Menachem; Shelah, Saharon 4 2018 Abstract elementary classes stable in \(\aleph_{0}\). Zbl 1469.03099Shelah, Saharon; Vasey, Sebastien 4 2018 The spectrum of ultraproducts of finite cardinals for an ultrafilter. Zbl 1424.03015Shelah, S. 2 2018 There is no bound on sizes of indecomposable Banach spaces. Zbl 1396.46015Koszmider, Piotr; Shelah, Saharon; Świȩtek, Michał 2 2018 Random reals and polarized colorings. Zbl 1413.03008Garti, Shimon; Shelah, Saharon 2 2018 Small-large subgroups of the reals. Zbl 1441.03039Rosłanowski, Andrzej; Shelah, Saharon 2 2018 The abelianization of inverse limits of groups. Zbl 1443.20082Barnea, Ilan; Shelah, Saharon 1 2018 Set mappings on 4-tuples. Zbl 1455.03060Mohsenipour, Shahram; Shelah, Saharon 1 2018 Asymmetric tie-points and almost clopen subsets of \(\mathbb{N}^*\). Zbl 1474.54083Dow, Alan; Shelah, Saharon 1 2018 Clubs on quasi measurable cardinals. Zbl 07198300Kumar, Ashutosh; Shelah, Saharon 1 2018 Creature forcing and five cardinal characteristics in Cichoń’s diagram. Zbl 1404.03040Fischer, Arthur; Goldstern, Martin; Kellner, Jakob; Shelah, Saharon 10 2017 Two inequalities between cardinal invariants. Zbl 1420.03127Raghavan, Dilip; Shelah, Saharon 8 2017 Definable groups for dependent and 2-dependent theories. Zbl 1424.03016Shelah, Saharon 6 2017 Model-theoretic applications of cofinality spectrum problems. Zbl 1423.03177Malliaris, Maryanthe; Shelah, Saharon 6 2017 On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility. Zbl 1423.03195Raghavan, Dilip; Shelah, Saharon 6 2017 A parallel to the null ideal for inaccessible \(\lambda\). I. Zbl 1417.03266Shelah, Saharon 6 2017 Universal structures. Zbl 1417.03231Shelah, Saharon 6 2017 The nonstationary ideal on \(P_\kappa (\lambda )\) for \(\lambda \) singular. Zbl 1417.03250Matet, Pierre; Shelah, Saharon 5 2017 Decidability and classification of the theory of integers with primes. Zbl 1422.03071Kaplan, Itay; Shelah, Saharon 5 2017 Group metrics for graph products of cyclic groups. Zbl 1383.54036Paolini, Gianluca; Shelah, Saharon 4 2017 A framework for forcing constructions at successors of singular cardinals. Zbl 1423.03185Cummings, James; Džamonja, Mirna; Magidor, Menachem; Morgan, Charles; Shelah, Saharon 4 2017 Exact saturation in simple and NIP theories. Zbl 1420.03066Kaplan, Itay; Shelah, Saharon; Simon, Pierre 3 2017 Open problems on ultrafilters and some connections to the continuum. Zbl 1402.03038Malliaris, M.; Shelah, S. 3 2017 A transversal of full outer measure. Zbl 1423.03187Kumar, Ashutosh; Shelah, Saharon 2 2017 On the verge of inconsistency: Magidor cardinals and Magidor filters. Zbl 1412.03020Garti, Shimon; Hayut, Yair; Shelah, Saharon 2 2017 Avoiding equal distances. Zbl 1420.03131Kumar, Ashutosh; Shelah, Saharon 1 2017 No uncountable Polish group can be a right-angled Artin group. Zbl 1422.20001Paolini, Gianluca; Shelah, Saharon 1 2017 Closed sets which consistently have few translations covering the line. Zbl 1420.03126Bartoszynski, Tomek; Larson, Paul; Shelah, Saharon 1 2017 Existentially closed locally finite groups (Sh312). Zbl 1433.03090Shelah, Saharon 1 2017 Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 1477.03125Malliaris, M.; Shelah, S. 29 2016 Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012Shelah, Saharon 25 2016 Existence of optimal ultrafilters and the fundamental complexity of simple theories. Zbl 1431.03048Malliaris, M.; Shelah, S. 14 2016 Rigidity of continuous quotients. Zbl 06527391Farah, Ilijas; Shelah, Saharon 10 2016 On non-forking spectra. Zbl 06669860Chernikov, Artem; Kaplan, Itay; Shelah, Saharon 8 2016 The left side of Cichoń’s diagram. Zbl 1431.03064Goldstern, Martin; Mejía, Diego Alejandro; Shelah, Saharon 7 2016 Universal graphs with a forbidden subgraph: block path solidity. Zbl 1389.05112Cherlin, Gregory; Shelah, Saharon 6 2016 Open and solved problems concerning polarized partition relations. Zbl 06602778Garti, Shimon; Shelah, Saharon 5 2016 Cofinality of normal ideals on \([\lambda]^{<\kappa}\). I. Zbl 1408.03032Matet, Pierre; Péan, Cédric; Shelah, Saharon 4 2016 On the number of Dedekind cuts and two-cardinal models of dependent theories. Zbl 1430.03053Chernikov, Artem; Shelah, Saharon 4 2016 Stable theories and representation over sets. Zbl 1412.03015Shelah, Saharon; Cohen, Moran 4 2016 Constructing many atomic models in \(\aleph_1\). Zbl 1383.03045Baldwin, John T.; Laskowski, Michael C.; Shelah, Saharon 3 2016 The generic pair conjecture for dependent finite diagrams. Zbl 1377.03023Kaplan, Itay; Lavi, Noa; Shelah, Saharon 2 2016 Cofinality spectrum problems: the axiomatic approach. Zbl 1477.03176Malliaris, M.; Shelah, S. 2 2016 On cuts in ultraproducts of linear orders. I. Zbl 1380.03036Golshani, Mohammad; Shelah, Saharon 2 2016 No universal group in a cardinal. Zbl 1402.03048Shelah, Saharon 2 2016 Forcing a countable structure to belong to the ground model. Zbl 1372.03059Kaplan, Itay; Shelah, Saharon 1 2016 Beginning of stability theory for Polish spaces. Zbl 1366.03214Shelah, Saharon 1 2016 Lower bounds on coloring numbers from hardness hypotheses in pcf theory. Zbl 06640957Shelah, Saharon 1 2016 There are no very meager sets in the model in which both the Borel conjecture and the dual Borel conjecture are true. Zbl 1358.03076Shelah, Saharon; Wohofsky, Wolfgang 1 2016 \(\mathrm{ZF}+\mathrm{DC}+\mathrm{AX}_4\). Zbl 1403.03078Shelah, Saharon 1 2016 Constructing regular ultrafilters from a model-theoretic point of view. Zbl 1387.03029Malliaris, M.; Shelah, S. 15 2015 Dependent theories and the generic pair conjecture. Zbl 1338.03065Shelah, Saharon 6 2015 Symmetrically complete ordered sets abelian groups and fields. Zbl 1345.06016Kuhlmann, Katarzyna; Kuhlmann, Franz-Viktor; Shelah, Saharon 4 2015 Non-trivial automorphisms of \({\mathcal {P}}({\mathbb {N}})/[{\mathbb {N}}]^{<\aleph _0}\) from variants of small dominating number. Zbl 1352.03055Shelah, Saharon; Steprāns, Juris 3 2015 Almost Galois \(\omega\)-stable classes. Zbl 1382.03059Baldwin, John T.; Larson, Paul B.; Shelah, Saharon 3 2015 Mad spectra. Zbl 1367.03093Shelah, Saharon; Spinas, Otmar 3 2015 Borel completeness of some \(\aleph_{0}\)-stable theories. Zbl 1373.03056Laskowski, Michael C.; Shelah, Saharon 3 2015 Models of PA: when two elements are necessarily order automorphic. Zbl 1367.03072Shelah, Saharon 2 2015 Saturating the random graph with an independent family of small range. Zbl 1429.03135Malliaris, Maryanthe; Shelah, Saharon 2 2015 Positional strategies in long Ehrenfeucht-Fraïssé games. Zbl 1373.03099Shelah, S.; Väänänen, J.; Veličković, B. 1 2015 ...and 836 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,448 Authors 562 Shelah, Saharon 48 Friedman, Sy-David 47 Pillay, Anand 46 Göbel, Rüdiger 45 Apter, Arthur W. 45 Baldwin, John T. 44 Gitik, Moti 40 Dow, Alan S. 40 Hyttinen, Tapani 35 Rinot, Assaf 34 Komjáth, Péter 34 Todorcevic, Stevo B. 31 Magidor, Menachem 28 Brendle, Jörg 28 Hrušák, Michael 28 Koszmider, Piotr B. 28 Vasey, Sebastien 27 Eklof, Paul C. 27 Steprāns, Juris 27 Trlifaj, Jan jun. 27 Zapletal, Jindřich 27 Zdoms’kyĭ, Lyubomyr Sergiĭovych 26 Cummings, James 26 Gurevich, Yuri 26 Larson, Paul B. 26 Matet, Pierre 25 Farah, Ilijas 25 Garti, Shimon 25 Krueger, John 24 Džamonja, Mirna 24 Laskowski, Michael Chris 24 Mekler, Alan H. 24 Soukup, Lajos 24 Zhukovskiĭ, Maksim Evgen’evich 23 Asperó, David 23 Blass, Andreas Raphael 23 Malliaris, Maryanthe Elizabeth 23 Mildenberger, Heike 22 Goldstern, Martin Robert 22 Kojman, Menachem 22 Rabinovich, Alexander 21 Kaplan, Itay 21 Nešetřil, Jaroslav 20 Rosłanowski, Andrzej 20 Tall, Franklin D. 19 Bagaria, Joan 19 Fischer, Vera 19 Tsaban, Boaz 18 Chernikov, Artem 18 Dugas, Manfred H. 18 Foreman, Matthew D. 18 Hrushovski, Ehud 18 Judah, Haim I. 18 Kellner, Jakob 18 Spinas, Otmar 18 Velickovic, Boban 17 Juhász, István 17 Lambie-Hanson, Chris 17 Rubin, Matatyahu 16 Eisworth, Todd 16 Golshani, Mohammad 16 Hamkins, Joel David 16 Kim, Byunghan 16 Moore, Justin Tatch 16 Schindler, Ralf-Dieter 16 Väänänen, Jouko Antero 15 Bartoszynski, Tomek 15 Grossberg, Rami P. 15 Guzmán González, Osvaldo 15 Lücke, Philipp Moritz 15 Raghavan, Dilip 15 Simon, Pierre 15 Sinapova, Dima 14 Anstee, Richard P. 14 Boney, Will 14 Cox, Sean D. 14 Hayut, Yair 14 Kuhlmann, Salma 14 Kurilić, Miloš S. 14 Strüngmann, Lutz H. 13 Conant, Gabriel 13 Droste, Manfred 13 Enayat, Ali 13 Fuchs, László 13 Mejía, Diego Alejandro 13 Schmerl, James H. 13 Usuba, Toshimichi 12 Dobrinen, Natasha L. 12 Geschke, Stefan 12 Newelski, Ludomir 12 Soukup, Dániel Tamás 12 Unger, Spencer T. 12 van Mill, Jan 11 Fuchino, Sakaé 11 Hart, Bradd T. 11 Jin, Renling 11 Nyikos, Peter J. 11 Shore, Richard Arnold 11 Thomas, Simon R. 10 Banakh, Taras Onufrievich ...and 2,348 more Authors all top 5 Cited in 300 Serials 547 The Journal of Symbolic Logic 471 Annals of Pure and Applied Logic 327 Israel Journal of Mathematics 279 Topology and its Applications 253 Archive for Mathematical Logic 213 Proceedings of the American Mathematical Society 181 Transactions of the American Mathematical Society 84 The Bulletin of Symbolic Logic 80 Mathematical Logic Quarterly (MLQ) 67 Advances in Mathematics 67 Notre Dame Journal of Formal Logic 62 Journal of Algebra 62 Journal of Mathematical Logic 61 Fundamenta Mathematicae 60 Discrete Mathematics 57 Algebra Universalis 52 Theoretical Computer Science 42 Algebra and Logic 39 Acta Mathematica Hungarica 32 Journal of Pure and Applied Algebra 29 Information and Computation 28 European Journal of Combinatorics 27 Journal of Combinatorial Theory. Series A 27 Order 24 Communications in Algebra 24 Journal of Computer and System Sciences 22 Journal of Combinatorial Theory. Series B 20 Rendiconti del Seminario Matematico della Università di Padova 20 Siberian Mathematical Journal 19 Discrete Applied Mathematics 19 Mathematische Zeitschrift 19 Journal of the American Mathematical Society 19 Journal of Mathematical Sciences (New York) 18 Journal of Mathematical Analysis and Applications 18 The Electronic Journal of Combinatorics 15 Periodica Mathematica Hungarica 14 Combinatorica 14 SIAM Journal on Discrete Mathematics 13 Archiv für Mathematische Logik und Grundlagenforschung 13 Rocky Mountain Journal of Mathematics 13 Discrete & Computational Geometry 13 Forum Mathematicum 12 Information Processing Letters 12 Studia Logica 12 International Journal of Algebra and Computation 12 Filomat 12 Logical Methods in Computer Science 11 Journal of Functional Analysis 11 Graphs and Combinatorics 11 Journal of the European Mathematical Society (JEMS) 10 Mathematical Notes 10 Czechoslovak Mathematical Journal 10 Monatshefte für Mathematik 10 Journal of Applied Analysis 9 Archiv der Mathematik 9 Semigroup Forum 9 Random Structures & Algorithms 9 Annals of Mathematics and Artificial Intelligence 9 Journal of Group Theory 9 Central European Journal of Mathematics 9 European Journal of Mathematics 8 Bulletin of the Australian Mathematical Society 8 Journal of the Mathematical Society of Japan 8 Journal of Soviet Mathematics 8 Synthese 8 Bulletin of the American Mathematical Society. New Series 8 Topology Proceedings 8 Doklady Mathematics 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Acta Mathematica 7 Mathematische Annalen 7 Memoirs of the American Mathematical Society 7 Results in Mathematics 7 Bulletin of the Polish Academy of Sciences, Mathematics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Problems of Information Transmission 6 Bulletin of the London Mathematical Society 6 Georgian Mathematical Journal 6 Selecta Mathematica. New Series 6 Matematicheskie Trudy 6 Journal of the Institute of Mathematics of Jussieu 6 Forum of Mathematics, Sigma 5 Computational Complexity 5 Journal of Applied Non-Classical Logics 5 Combinatorics, Probability and Computing 5 Theory of Computing Systems 5 Journal of Algebra and its Applications 5 Sarajevo Journal of Mathematics 4 Colloquium Mathematicum 4 Compositio Mathematica 4 Illinois Journal of Mathematics 4 Inventiones Mathematicae 4 Journal of Philosophical Logic 4 Manuscripta Mathematica 4 Mathematica Slovaca 4 Quaestiones Mathematicae 4 SIAM Journal on Computing 4 Advances in Applied Mathematics 4 Lobachevskii Journal of Mathematics 4 Algebraic & Geometric Topology ...and 200 more Serials all top 5 Cited in 52 Fields 3,236 Mathematical logic and foundations (03-XX) 572 General topology (54-XX) 507 Combinatorics (05-XX) 464 Group theory and generalizations (20-XX) 283 Order, lattices, ordered algebraic structures (06-XX) 281 Computer science (68-XX) 142 Functional analysis (46-XX) 132 Associative rings and algebras (16-XX) 120 General algebraic systems (08-XX) 119 Measure and integration (28-XX) 113 Topological groups, Lie groups (22-XX) 102 Commutative algebra (13-XX) 100 Field theory and polynomials (12-XX) 77 Category theory; homological algebra (18-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Probability theory and stochastic processes (60-XX) 47 Dynamical systems and ergodic theory (37-XX) 43 History and biography (01-XX) 43 Convex and discrete geometry (52-XX) 41 General and overarching topics; collections (00-XX) 40 Real functions (26-XX) 40 Algebraic topology (55-XX) 38 Number theory (11-XX) 31 Manifolds and cell complexes (57-XX) 24 Algebraic geometry (14-XX) 23 Operations research, mathematical programming (90-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 20 Operator theory (47-XX) 12 Approximations and expansions (41-XX) 12 Geometry (51-XX) 11 Abstract harmonic analysis (43-XX) 10 Statistics (62-XX) 8 Functions of a complex variable (30-XX) 7 Sequences, series, summability (40-XX) 7 Biology and other natural sciences (92-XX) 7 Information and communication theory, circuits (94-XX) 5 Nonassociative rings and algebras (17-XX) 5 \(K\)-theory (19-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 3 Differential geometry (53-XX) 3 Numerical analysis (65-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-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 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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