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Homepage: http://shelah.logic.at/ External Links: MacTutor · MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 1,128 Publications since 1969, including 11 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 272 Co-Authors with 789 Joint Publications 4,351 Co-Co-Authors all top 5 Co-Authors 339 single-authored 35 Göbel, Rüdiger 35 Rosłanowski, Andrzej 26 Mekler, Alan H. 25 Goldstern, Martin Robert 23 Eklof, Paul C. 22 Gurevich, Yuri 20 Baldwin, John T. 19 Steprāns, Juris 18 Garti, Shimon 18 Judah, Haim I. 18 Mildenberger, Heike 17 Malliaris, Maryanthe Elizabeth 16 Bartoszynski, Tomek 14 Komjáth, Péter 14 Magidor, Menachem 13 Džamonja, Mirna 13 Juhász, István 13 Kaplan, Itay 13 Kellner, Jakob 13 Kojman, Menachem 13 Strüngmann, Lutz H. 12 Gitik, Moti 12 Stanley, Lee J. 11 Hyttinen, Tapani 11 Laskowski, Michael Chris 10 Abraham, Uri 10 Jech, Thomas J. 10 Larson, Paul B. 10 Paolini, Gianluca 10 Soukup, Lajos 10 Väänänen, Jouko Antero 9 Blass, Andreas Raphael 9 Spinas, Otmar 8 Dow, Alan S. 8 Fuchino, Sakaé 8 Thomas, Simon R. 7 Herden, Daniel 7 Jin, Renling 7 Kumar, Ashutosh 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 Zapletal, Jindřich 4 Brendle, Jörg 4 Coleman, Eoin 4 Devlin, Keith J. 4 Dugas, Manfred H. 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 Farah, Ilijas 3 Geschke, Stefan 3 Golshani, Mohammad 3 Holland, Wilbur Charles jun. 3 Kaufmann, Matt 3 Kubiś, Wiesław 3 Kuhlmann, Franz-Viktor 3 Kuhlmann, Salma 3 Mejía, Diego Alejandro 3 Nash-Williams, Crispin St. John Alvah 3 Sági, Gábor 3 Spencer, Joel H. 3 Stavi, Jonathan 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 Fremlin, David H. 2 Gilchrist, Martin Philip 2 Greenberg, Noam 2 Halbeisen, Lorenz J. 2 Hart, Bradd T. ...and 174 more Co-Authors all top 5 Serials 157 Israel Journal of Mathematics 146 The Journal of Symbolic Logic 87 Annals of Pure and Applied Logic 71 Fundamenta Mathematicae 60 Archive for Mathematical Logic 54 Proceedings of the American Mathematical Society 39 Transactions of the American Mathematical Society 31 Notre Dame Journal of Formal Logic 22 Mathematical Logic Quarterly (MLQ) 17 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 9 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 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 Journal of the European Mathematical Society (JEMS) 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 1,022 Mathematical logic and foundations (03-XX) 185 Group theory and generalizations (20-XX) 95 Order, lattices, ordered algebraic structures (06-XX) 93 Combinatorics (05-XX) 87 General topology (54-XX) 33 Commutative algebra (13-XX) 29 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 927 Publications have been cited 8,766 times in 4,189 Documents Cited by ▼ Year ▼ Proper forcing. Zbl 0495.03035Shelah, Saharon 218 1982 Proper and improper forcing. 2nd ed. Zbl 0889.03041Shelah, Saharon 205 1998 A combinatorial problem; stability and order for models and theories in infinitary languages. Zbl 0239.02024Shelah, Saharon 158 1972 Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028Foreman, M.; Magidor, M.; Shelah, Saharon 157 1988 Cardinal arithmetic. Zbl 0848.03025Shelah, Saharon 148 1994 Classification theory and the number of non-isomorphic models. Zbl 0388.03009Shelah, S. 144 1978 Classification theory and the number of non-isomorphic models. 2nd rev. ed. Zbl 0713.03013Shelah, Saharon 116 1990 Can you take Solovay’s inaccessible away? Zbl 0596.03055Shelah, Saharon 113 1984 The monadic theory of order. Zbl 0345.02034Shelah, Saharon 110 1975 Infinite Abelian groups, Whitehead problem and some constructions. Zbl 0318.02053Shelah, Saharon 103 1974 A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals. Zbl 0369.02034Shelah, Saharon 82 1975 A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\). Zbl 0403.03040Devlin, Keith J.; Shelah, Saharon 81 1978 Simple unstable theories. Zbl 0489.03008Shelah, Saharon 76 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 71 1987 Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory. Zbl 0281.02052Shelah, Saharon 70 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 61 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 60 1993 zero-one laws for sparse random graphs. Zbl 0647.05051Shelah, Saharon; Spencer, Joel 57 1988 Every two elementarily equivalent models have isomorphic ultrapowers. Zbl 0224.02045Shelah, Saharon 56 1971 Dependent first order theories, continued. Zbl 1195.03040Shelah, Saharon 56 2009 Finite diagrams stable in power. Zbl 0204.31104Shelah, S. 52 1970 Fixed-point extensions of first-order logic. Zbl 0621.03013Gurevich, Yuri; Shelah, Saharon 50 1986 On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041Gitik, Moti; Shelah, Saharon 49 1989 Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\). Zbl 0552.03019Shelah, Saharon 48 1983 Categoricity for abstract classes with amalgamation. Zbl 0945.03049Shelah, Saharon 47 1999 Reflecting stationary sets and successors of singular cardinals. Zbl 0742.03017Shelah, Saharon 46 1991 Classification theory for abstract elementary classes. Zbl 1225.03036Shelah, Saharon 45 2009 Primitive recursive bounds for van der Waerden numbers. Zbl 0649.05010Shelah, Saharon 44 1988 Toward classifying unstable theories. Zbl 0874.03043Shelah, Saharon 43 1996 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 40 1987 Forcing closed unbounded sets. Zbl 0568.03024Abraham, Uri; Shelah, Saharon 40 1983 The tree property at successors of singular cardinals. Zbl 0874.03060Magidor, Menachem; Shelah, Saharon 39 1996 Diamonds. Zbl 1280.03047Shelah, Saharon 39 2010 Whitehead groups may not be free even assuming CH. II. Zbl 0467.03049Shelah, Saharon 38 1980 Advances in cardinal arithmetic. Zbl 0844.03028Shelah, Saharon 36 1993 When does almost free imply free? (For groups, transversals, etc.). Zbl 0819.20059Magidor, Menachem; Shelah, Saharon 36 1994 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 Whitehead groups may be not free, even assuming CH. I. Zbl 0369.02035Shelah, Saharon 35 1977 Toward categoricity for classes with no maximal models. Zbl 0945.03048Shelah, Saharon; Villaveces, Andrés 34 1999 On the strong equality between supercompactness and strong compactness. Zbl 0864.03036Apter, Arthur W.; Shelah, Saharon 33 1997 Norms on possibilities. I: Forcing with trees and creatures. Zbl 0940.03059Rosłanowski, Andrzej; Shelah, Saharon 32 1999 The generalized continuum hypothesis revisited. Zbl 0955.03054Shelah, Saharon 32 2000 Strongly dependent theories. Zbl 1371.03043Shelah, Saharon 32 2014 The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). Zbl 0718.03037Judah, Haim; Shelah, Saharon 31 1990 On successors of singular cardinals. Zbl 0449.03045Shelah, Saharon 31 1979 \(\Delta^ 1_ 2\)-sets of reals. Zbl 0668.03020Ihoda, Jaime I.; Shelah, Saharon 30 1989 Ultrafilters with small generating sets. Zbl 0681.03033Blass, Andreas; Shelah, Saharon 30 1989 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 Generalized quantifiers and compact logic. Zbl 0322.02010Shelah, Saharon 30 1975 Models with second order properties. II: Trees with no undefined branches. Zbl 0383.03019Shelah, Saharon 29 1978 Categoricity of an abstract elementary class in two successive cardinals. Zbl 0999.03030Shelah, Saharon 28 2001 Expected computation time for Hamiltonian path problem. Zbl 0654.68083Gurevich, Yuri; Shelah, Saharon 27 1987 Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 1477.03125Malliaris, M.; Shelah, S. 27 2016 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 26 1990 \(\Delta\)-logics and generalized quantifiers. Zbl 0346.02007Makowsky, J. A.; Shelah, Saharon; Stavi, Jonathan 26 1976 The bounded proper forcing axiom. Zbl 0819.03042Goldstern, Martin; Shelah, Saharon 25 1995 Cardinal invariants above the continuum. Zbl 0835.03013Cummings, James; Shelah, Saharon 25 1995 Souslin forcing. Zbl 0673.03039Ihoda, Jaime I.; Shelah, Saharon 25 1988 Categoricity of theories in \(L_{\kappa \omega}\), with \(\kappa\) a compact cardinal. Zbl 0704.03015Shelah, Saharon; Makkai, Michael 25 1990 On \(\vartriangleleft^{*}\)-maximality. Zbl 1040.03029Džamonja, Mirna; Shelah, Saharon 25 2004 Two cardinal invariants of the continuum \(({\mathfrak d} <{\mathfrak a})\) and FS linearly ordered iterated forcing. Zbl 1106.03044Shelah, Saharon 24 2004 PFA implies all automorphisms are trivial. Zbl 0691.03031Shelah, Saharon; Steprāns, Juris 24 1988 The lazy model-theoretician’s guide to stability. Zbl 0359.02052Shelah, Saharon 24 1975 Non-forking frames in abstract elementary classes. Zbl 1315.03050Jarden, Adi; Shelah, Saharon 24 2013 On random models of finite power and monadic logic. Zbl 0579.03006Kaufmann, Matt; Shelah, Saharon 24 1985 Second-order quantifiers and the complexity of theories. Zbl 0596.03033Baldwin, J. T.; Shelah, S. 23 1985 Can the fundamental (homotopy) group of a space be the rationals? Zbl 0661.55012Shelah, Saharon 23 1988 Forcings with ideals and simple forcing notions. Zbl 0686.03027Gitik, Moti; Shelah, Saharon 23 1989 Sacks forcing, Laver forcing, and Martin’s axiom. Zbl 0755.03026Judah, Haim; Miller, Arnold W.; Shelah, Saharon 23 1992 Nonexistence of universal orders in many cardinals. Zbl 0790.03036Kojman, Menachem; Shelah, Saharon 23 1992 Near coherence of filters. III: A simplified consistency proof. Zbl 0702.03030Blass, Andreas; Shelah, Saharon 23 1989 Regularity lemmas for stable graphs. Zbl 1283.05234Malliaris, M.; Shelah, S. 23 2014 Universal graphs with forbidden subgraphs and algebraic closure. Zbl 0928.03049Cherlin, Gregory; Shelah, Saharon; Shi, Niandong 23 1999 Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\). Zbl 0324.02038Shelah, Saharon 23 1975 Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012Shelah, Saharon 23 2016 Randomness and semigenericity. Zbl 0952.03029Baldwin, John T.; Shelah, Saharon 22 1997 Chang’s conjecture for \(\aleph_\omega\). Zbl 0696.03023Levinski, Jean-Pierre; Magidor, Menachem; Shelah, Saharon 22 1990 Independence results. Zbl 0451.03017Shelah, Saharon 22 1980 Martin’s axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic. Zbl 0457.03048Avraham, Uri; Shelah, Saharon 22 1981 Strong splitting in stable homogeneous models. Zbl 0961.03028Hyttinen, Tapani; Shelah, Saharon 21 2000 Was Sierpinski right? I. Zbl 0657.03028Shelah, Saharon 21 1988 Incompactness in regular cardinals. Zbl 0617.03025Shelah, Saharon 21 1985 Classification theory for abstract elementary classes. Vol 2. Zbl 1225.03037Shelah, Saharon 21 2009 Uncountable universal locally finite groups. Zbl 0363.20032Macintyre, Angus J.; Shelah, Saharon 21 1976 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 Choiceless polynomial time. Zbl 0936.03037Blass, Andreas; Gurevich, Yuri; Shelah, Saharon 20 1999 Further cardinal arithmetic. Zbl 0864.03032Shelah, Saharon 20 1996 Cotorsion theories and splitters. Zbl 0962.20039Göbel, Rüdiger; Shelah, Saharon 20 2000 Minimal bounded index subgroup for dependent theories. Zbl 1144.03026Shelah, Saharon 20 2008 Exponentiation in power series fields. Zbl 0888.12004Kuhlmann, Franz-Viktor; Kuhlmann, Salma; Shelah, Saharon 19 1997 The number of non-isomorphic models of an unstable first-order theory. Zbl 0226.02045Shelah, Saharon 19 1971 Separability properties of almost-disjoint families of sets. Zbl 0246.05002Erdős, Paul; Shelah, Saharon 19 1972 Uniqueness and characterization of prime models over sets for totally transcendental first-order theories. Zbl 0247.02047Shelah, Saharon 19 1972 On strong measure zero subsets of \({}^\kappa 2\). Zbl 0994.03038Halko, Aapo; Shelah, Saharon 19 2001 On what I do not understand (and have something to say), model theory. Zbl 0965.03042Shelah, Saharon 18 2000 Countably compact groups without non-trivial convergent sequences. Zbl 1482.22002Hrušák, M.; van Mill, J.; Ramos-García, U. A.; Shelah, S. 8 2021 Transcendence bases, well-orderings of the reals and the axiom of choice. Zbl 07299124Horowitz, Haim; Shelah, Saharon 1 2021 The higher Cichoń diagram. Zbl 07301056Baumhauer, Thomas; Goldstern, Martin; 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 On some variants of the club principle. Zbl 1479.03018Kumar, Ashutosh; Shelah, Saharon 1 2021 Keisler’s order is not simple (and simple theories may not be either). Zbl 07415199Malliaris, M.; Shelah, S. 1 2021 Controlling cardinal characteristics without adding reals. Zbl 07419668Goldstern, Martin; Kellner, Jakob; Mejía, Diego A.; Shelah, Saharon 1 2021 Cardinal characteristics at \(\aleph_\omega\). Zbl 07200100Garti, Shimon; Gitik, M.; Shelah, S. 5 2020 Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. Zbl 1439.05085Garti, Shimon; Magidor, Menachem; Shelah, Saharon 2 2020 Quite free complicated abelian groups, PCF and black boxes. Zbl 07297399Shelah, Saharon 2 2020 A small ultrafilter number at smaller cardinals. Zbl 1481.03055Raghavan, Dilip; Shelah, Saharon 2 2020 An example of a new simple theory. Zbl 1458.03026Malliaris, M.; Shelah, S. 1 2020 Automorphism groups of countable stable structures. Zbl 07177203Paolini, Gianluca; Shelah, Saharon 1 2020 Superstable theories and representation. Zbl 1463.03008Shelah, Saharon 1 2020 Strongly bounded groups of various cardinalities. Zbl 07268375Corson, Samuel M.; Shelah, Saharon 1 2020 Cichoń’s maximum. Zbl 07097497Goldstern, Martin; Kellner, Jakob; Shelah, Saharon 7 2019 Local character of Kim-independence. Zbl 07020582Kaplan, Itay; Ramsey, Nicholas; Shelah, Saharon 7 2019 Another ordering of the ten cardinal characteristics in Cichoń’s diagram. Zbl 1463.03015Kellner, Jakob; Shelah, Saharon; Tănasie, Anda R. 5 2019 Reconstructing structures with the strong small index property up to bi-definability. Zbl 1480.03015Paolini, Gianluca; Shelah, Saharon 5 2019 A new look at interpretability and saturation. Zbl 1472.03030Malliaris, M.; Shelah, S. 3 2019 The last forcing standing with diamonds. Zbl 1480.03049Rosłanowski, Andrzej; Shelah, Saharon 3 2019 Compactness in singular cardinals revisited. Zbl 1449.03015Shelah, Saharon 2 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 Ultrafilter extensions do not preserve elementary equivalence. Zbl 07197339Saveliev, Denis I.; 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 Borel sets without perfectly many overlapping translations. Zbl 07161694Rosłanowski, Andrzej; 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 Universal theories and compactly expandable models. Zbl 1441.03024Casanovas, Enrique; 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 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 7 2018 The automorphism group of Hall’s universal group. Zbl 1427.20043Paolini, Gianluca; Shelah, Saharon 4 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 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 Clubs on quasi measurable cardinals. Zbl 07198300Kumar, Ashutosh; Shelah, Saharon 1 2018 The spectrum of ultraproducts of finite cardinals for an ultrafilter. Zbl 1424.03015Shelah, S. 1 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 Creature forcing and five cardinal characteristics in Cichoń’s diagram. Zbl 1404.03040Fischer, Arthur; Goldstern, Martin; Kellner, Jakob; Shelah, Saharon 8 2017 Two inequalities between cardinal invariants. Zbl 1420.03127Raghavan, Dilip; Shelah, Saharon 8 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 Definable groups for dependent and 2-dependent theories. Zbl 1424.03016Shelah, 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 A framework for forcing constructions at successors of singular cardinals. Zbl 1423.03185Cummings, James; Džamonja, Mirna; Magidor, Menachem; Morgan, Charles; Shelah, Saharon 4 2017 Group metrics for graph products of cyclic groups. Zbl 1383.54036Paolini, Gianluca; Shelah, Saharon 3 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 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 No uncountable Polish group can be a right-angled Artin group. Zbl 1422.20001Paolini, Gianluca; Shelah, Saharon 1 2017 Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 1477.03125Malliaris, M.; Shelah, S. 27 2016 Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012Shelah, Saharon 23 2016 Existence of optimal ultrafilters and the fundamental complexity of simple theories. Zbl 1431.03048Malliaris, M.; Shelah, S. 13 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 Rigidity of continuous quotients. Zbl 06527391Farah, Ilijas; Shelah, Saharon 7 2016 Open and solved problems concerning polarized partition relations. Zbl 06602778Garti, Shimon; Shelah, Saharon 5 2016 Universal graphs with a forbidden subgraph: block path solidity. Zbl 1389.05112Cherlin, Gregory; Shelah, Saharon 5 2016 Stable theories and representation over sets. Zbl 1412.03015Shelah, Saharon; Cohen, Moran 4 2016 On the number of Dedekind cuts and two-cardinal models of dependent theories. Zbl 1430.03053Chernikov, Artem; Shelah, Saharon 4 2016 Cofinality of normal ideals on \([\lambda]^{<\kappa}\). I. Zbl 1408.03032Matet, Pierre; Péan, Cédric; Shelah, Saharon 3 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 \(\mathrm{ZF}+\mathrm{DC}+\mathrm{AX}_4\). Zbl 1403.03078Shelah, Saharon 1 2016 No universal group in a cardinal. Zbl 1402.03048Shelah, Saharon 1 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 Constructing regular ultrafilters from a model-theoretic point of view. Zbl 1387.03029Malliaris, M.; Shelah, S. 12 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 Borel completeness of some \(\aleph_{0}\)-stable theories. Zbl 1373.03056Laskowski, Michael C.; Shelah, Saharon 3 2015 Almost Galois \(\omega\)-stable classes. Zbl 1382.03059Baldwin, John T.; Larson, Paul B.; Shelah, Saharon 3 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 2 2015 Mad spectra. Zbl 1367.03093Shelah, Saharon; Spinas, Otmar 2 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 \(\mathbf P\)-NDOP and \(\mathbf P\)-decompositions of \(\aleph_{\epsilon} \)-saturated models of superstable theories. Zbl 1372.03067Shelah, Saharon; Laskowski, Michael C. 1 2015 Strong colorings yield \(\kappa\)-bounded spaces with discretely untouchable points. Zbl 1320.54007Juhász, István; Shelah, Saharon 1 2015 Positional strategies in long Ehrenfeucht-Fraïssé games. Zbl 1373.03099Shelah, S.; Väänänen, J.; Veličković, B. 1 2015 A.e.c. with not too many models. Zbl 1429.03140Shelah, Saharon 1 2015 Strongly dependent theories. Zbl 1371.03043Shelah, Saharon 32 2014 Regularity lemmas for stable graphs. Zbl 1283.05234Malliaris, M.; Shelah, S. 23 2014 ...and 827 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,372 Authors 553 Shelah, Saharon 47 Friedman, Sy-David 47 Pillay, Anand 46 Göbel, Rüdiger 45 Apter, Arthur W. 45 Baldwin, John T. 44 Gitik, Moti 40 Hyttinen, Tapani 39 Dow, Alan S. 34 Komjáth, Péter 34 Todorcevic, Stevo B. 32 Rinot, Assaf 30 Magidor, Menachem 28 Brendle, Jörg 28 Hrušák, Michael 28 Koszmider, Piotr B. 28 Vasey, Sebastien 27 Eklof, Paul C. 27 Trlifaj, Jan jun. 26 Cummings, James 26 Gurevich, Yuri 26 Zapletal, Jindřich 25 Krueger, John 25 Larson, Paul B. 25 Steprāns, Juris 24 Matet, Pierre 24 Mekler, Alan H. 24 Zdoms’kyĭ, Lyubomyr Sergiĭovych 23 Blass, Andreas Raphael 23 Džamonja, Mirna 23 Garti, Shimon 23 Laskowski, Michael Chris 23 Malliaris, Maryanthe Elizabeth 23 Mildenberger, Heike 23 Zhukovskiĭ, Maksim Evgen’evich 22 Asperó, David 22 Farah, Ilijas 22 Rabinovich, Alexander 22 Soukup, Lajos 21 Kaplan, Itay 21 Kojman, Menachem 20 Goldstern, Martin Robert 20 Nešetřil, Jaroslav 20 Rosłanowski, Andrzej 20 Tall, Franklin D. 19 Bagaria, Joan 19 Tsaban, Boaz 18 Chernikov, Artem 18 Dugas, Manfred H. 18 Fischer, Vera 18 Foreman, Matthew D. 18 Hrushovski, Ehud 18 Judah, Haim I. 18 Spinas, Otmar 18 Velickovic, Boban 17 Lambie-Hanson, Chris 17 Rubin, Matatyahu 16 Golshani, Mohammad 16 Hamkins, Joel David 16 Juhász, István 16 Kellner, Jakob 16 Kim, Byunghan 16 Moore, Justin Tatch 16 Schindler, Ralf-Dieter 16 Väänänen, Jouko Antero 15 Bartoszynski, Tomek 15 Eisworth, Todd 15 Grossberg, Rami P. 15 Guzmán González, Osvaldo 15 Simon, Pierre 15 Sinapova, Dima 14 Anstee, Richard P. 14 Kuhlmann, Salma 14 Kurilić, Miloš S. 14 Lücke, Philipp Moritz 14 Raghavan, Dilip 14 Strüngmann, Lutz H. 13 Boney, Will 13 Conant, Gabriel 13 Cox, Sean D. 13 Droste, Manfred 13 Fuchs, László 13 Hayut, Yair 13 Schmerl, James H. 12 Geschke, Stefan 12 Newelski, Ludomir 12 Soukup, Dániel Tamás 12 Unger, Spencer T. 12 Usuba, Toshimichi 11 Dobrinen, Natasha L. 11 Enayat, Ali 11 Fuchino, Sakaé 11 Hart, Bradd T. 11 Jin, Renling 11 Shore, Richard Arnold 11 Thomas, Simon R. 11 van Mill, Jan 10 Burke, Maxim R. 10 Jech, Thomas J. 10 Kanamori, Akihiro ...and 2,272 more Authors all top 5 Cited in 291 Serials 543 The Journal of Symbolic Logic 464 Annals of Pure and Applied Logic 323 Israel Journal of Mathematics 263 Topology and its Applications 246 Archive for Mathematical Logic 208 Proceedings of the American Mathematical Society 179 Transactions of the American Mathematical Society 84 The Bulletin of Symbolic Logic 80 Mathematical Logic Quarterly (MLQ) 67 Advances in Mathematics 66 Notre Dame Journal of Formal Logic 61 Journal of Algebra 60 Discrete Mathematics 59 Journal of Mathematical Logic 57 Algebra Universalis 57 Fundamenta Mathematicae 52 Theoretical Computer Science 41 Algebra and Logic 38 Acta Mathematica Hungarica 32 Journal of Pure and Applied Algebra 28 Information and Computation 27 Journal of Combinatorial Theory. Series A 27 Order 26 European Journal of Combinatorics 24 Communications in Algebra 24 Journal of Computer and System Sciences 20 Rendiconti del Seminario Matematico della Università di Padova 20 Siberian Mathematical Journal 19 Journal of Combinatorial Theory. 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New Series 8 Annals of Mathematics and Artificial Intelligence 8 Doklady Mathematics 7 Acta Mathematica 7 Results in Mathematics 7 Bulletin of the Polish Academy of Sciences, Mathematics 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Problems of Information Transmission 6 Bulletin of the London Mathematical Society 6 Mathematische Annalen 6 Memoirs of the American Mathematical Society 6 Topology Proceedings 6 Selecta Mathematica. New Series 6 Journal of the Institute of Mathematics of Jussieu 6 Forum of Mathematics, Sigma 5 Journal of Applied Non-Classical Logics 5 Combinatorics, Probability and Computing 5 Georgian Mathematical Journal 5 Theory of Computing Systems 5 Journal of Algebra and its Applications 5 Sarajevo Journal of Mathematics 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 Computational Complexity 4 Matematicheskie Trudy 4 Lobachevskii Journal of Mathematics 4 Algebraic & Geometric Topology 4 Mediterranean Journal of Mathematics ...and 191 more Serials all top 5 Cited in 51 Fields 3,160 Mathematical logic and foundations (03-XX) 551 General topology (54-XX) 488 Combinatorics (05-XX) 459 Group theory and generalizations (20-XX) 276 Order, lattices, ordered algebraic structures (06-XX) 266 Computer science (68-XX) 135 Functional analysis (46-XX) 129 Associative rings and algebras (16-XX) 120 General algebraic systems (08-XX) 114 Measure and integration (28-XX) 105 Topological groups, Lie groups (22-XX) 100 Commutative algebra (13-XX) 97 Field theory and polynomials (12-XX) 76 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) 45 Dynamical systems and ergodic theory (37-XX) 43 History and biography (01-XX) 41 General and overarching topics; collections (00-XX) 40 Algebraic topology (55-XX) 37 Number theory (11-XX) 37 Real functions (26-XX) 36 Convex and discrete geometry (52-XX) 29 Manifolds and cell complexes (57-XX) 21 Algebraic geometry (14-XX) 21 Operations research, mathematical programming (90-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 16 Operator theory (47-XX) 11 Approximations and expansions (41-XX) 11 Abstract harmonic analysis (43-XX) 10 Geometry (51-XX) 10 Statistics (62-XX) 8 Functions of a complex variable (30-XX) 7 Sequences, series, summability (40-XX) 6 Biology and other natural sciences (92-XX) 6 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 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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