Edit Profile Shelah, Saharon Compute Distance To: Compute Author ID: shelah.saharon Published as: Shelah, S.; Shelah, Saharon Homepage: http://shelah.logic.at/ External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND · MacTutor Awards: Wolf Prize (2001) Documents Indexed: 1,104 Publications since 1969, including 12 Books Biographic References: 1 Publication all top 5 Co-Authors 334 single-authored 35 Göbel, Rüdiger 35 Rosłanowski, Andrzej 26 Mekler, Alan H. 23 Eklof, Paul C. 23 Goldstern, Martin Robert 22 Gurevich, Yuri 19 Baldwin, John T. 19 Steprāns, Juris 18 Judah, Haim I. 17 Garti, Shimon 16 Bartoszynski, Tomek 16 Mildenberger, Heike 14 Magidor, Menachem 14 Malliaris, Maryanthe Elizabeth 13 Juhász, István 13 Kojman, Menachem 13 Komjáth, Péter 13 Strüngmann, Lutz H. 12 Džamonja, Mirna 12 Gitik, Moti 12 Stanley, Lee J. 11 Hyttinen, Tapani 11 Kaplan, Itay 11 Kellner, Jakob 11 Laskowski, Michael Chris 10 Abraham, Uri 10 Jech, Thomas J. 10 Larson, Paul B. 10 Soukup, Lajos 10 Väänänen, Jouko Antero 9 Blass, Andreas Raphael 9 Paolini, Gianluca 9 Spinas, Otmar 8 Fuchino, Sakaé 8 Thomas, Simon R. 7 Dow, Alan S. 7 Jin, Renling 7 Kumar, Ashutosh 7 Soifer, Alexander 7 Tsaban, Boaz 6 Cherlin, Gregory L. 6 Grossberg, Rami P. 6 Herden, Daniel 6 Hodges, Wilfrid 6 Väisänen, Pauli 5 Cummings, James 5 Fuchs, László 5 Harrington, Leo A. 5 Ihoda, Jaime I. 5 Lifsches, Shmuel 5 Zapletal, Jindřich 4 Brendle, Jörg 4 Coleman, Eoin 4 Devlin, Keith J. 4 Foreman, Matthew D. 4 Hajnal, András 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 Dugas, Manfred H. 3 Eisworth, Todd 3 Erdős, Pál 3 Farah, Ilijas 3 Geschke, Stefan 3 Golshani, Mohammad 3 Holland, Wilbur Charles jun. 3 Horowitz, Haim 3 Kaufmann, Matt 3 Kennedy, Juliette 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 Usvyatsov, Alexander 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. 2 Hiller, Howard Lyn 2 Hodkinson, Ian Martin ...and 173 more Co-Authors all top 5 Serials 154 Israel Journal of Mathematics 144 The Journal of Symbolic Logic 85 Annals of Pure and Applied Logic 71 Fundamenta Mathematicae 58 Archive for Mathematical Logic 53 Proceedings of the American Mathematical Society 37 Transactions of the American Mathematical Society 31 Notre Dame Journal of Formal Logic 22 Mathematical Logic Quarterly (MLQ) 17 Topology and its Applications 15 Algebra Universalis 13 Annals of Mathematical Logic 12 Journal of the London Mathematical Society. Second Series 11 Advances in Mathematics 11 Journal of Algebra 11 Mathematica Japonica 11 Journal of Applied Analysis 10 Bulletin of the London Mathematical Society 10 Acta Mathematica Hungarica 10 Journal of Mathematical Logic 9 Colloquium Mathematicum 7 Canadian Journal of Mathematics 7 Journal of Combinatorial Theory. Series A 7 Forum Mathematicum 6 Periodica Mathematica Hungarica 6 Pacific Journal of Mathematics 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 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 Rendiconti del Seminario Matematico della Università di Padova 2 Reports on Mathematical Logic 2 Results in Mathematics 2 Studia Scientiarum Mathematicarum Hungarica 2 Advances in Applied Mathematics 2 Order 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 1 The Electronic Journal of Combinatorics ...and 15 more Serials all top 5 Fields 997 Mathematical logic and foundations (03-XX) 181 Group theory and generalizations (20-XX) 94 Order, lattices, ordered algebraic structures (06-XX) 90 Combinatorics (05-XX) 83 General topology (54-XX) 32 Commutative algebra (13-XX) 27 Measure and integration (28-XX) 24 Associative rings and algebras (16-XX) 18 General algebraic systems (08-XX) 17 Computer science (68-XX) 13 Functional analysis (46-XX) 11 Field theory and polynomials (12-XX) 10 Real functions (26-XX) 8 Category theory; homological algebra (18-XX) 8 Probability theory and stochastic processes (60-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Topological groups, Lie groups (22-XX) 5 Number theory (11-XX) 4 Algebraic topology (55-XX) 3 Linear and multilinear algebra; matrix theory (15-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 901 Publications have been cited 8,414 times in 3,977 Documents Cited by ▼ Year ▼ Proper and improper forcing. 2nd ed. Zbl 0889.03041Shelah, Saharon 220 1998 Proper forcing. Zbl 0495.03035Shelah, Saharon 219 1982 Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028Foreman, M.; Magidor, M.; Shelah, Saharon 153 1988 Cardinal arithmetic. Zbl 0848.03025Shelah, Saharon 151 1994 Classification theory and the number of non-isomorphic models. Zbl 0388.03009Shelah, S. 148 1978 A combinatorial problem; stability and order for models and theories in infinitary languages. Zbl 0239.02024Shelah, Saharon 147 1972 Classification theory and the number of non-isomorphic models. 2nd rev. ed. Zbl 0713.03013Shelah, Saharon 134 1990 Can you take Solovay’s inaccessible away? Zbl 0596.03055Shelah, Saharon 106 1984 The monadic theory of order. Zbl 0345.02034Shelah, Saharon 106 1975 Infinite Abelian groups, Whitehead problem and some constructions. Zbl 0318.02053Shelah, Saharon 99 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 78 1978 Simple unstable theories. Zbl 0489.03008Shelah, Saharon 72 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 69 1987 Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory. Zbl 0281.02052Shelah, Saharon 69 1971 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 59 1993 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 58 1985 Dependent first order theories, continued. Zbl 1195.03040Shelah, Saharon 53 2009 Finite diagrams stable in power. Zbl 0204.31104Shelah, S. 52 1970 zero-one laws for sparse random graphs. Zbl 0647.05051Shelah, Saharon; Spencer, Joel 51 1988 Fixed-point extensions of first-order logic. Zbl 0621.03013Gurevich, Yuri; Shelah, Saharon 51 1986 Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\). Zbl 0552.03019Shelah, Saharon 51 1983 Every two elementarily equivalent models have isomorphic ultrapowers. Zbl 0224.02045Shelah, Saharon 51 1971 On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041Gitik, Moti; Shelah, Saharon 48 1989 Categoricity for abstract classes with amalgamation. Zbl 0945.03049Shelah, Saharon 46 1999 Some exact equiconsistency results in set theory. Zbl 0579.03039Harrington, Leo; Shelah, Saharon 41 1985 Classification theory for abstract elementary classes. Zbl 1225.03036Shelah, Saharon 40 2009 Reflecting stationary sets and successors of singular cardinals. Zbl 0742.03017Shelah, Saharon 40 1991 Toward classifying unstable theories. Zbl 0874.03043Shelah, Saharon 39 1996 Primitive recursive bounds for van der Waerden numbers. Zbl 0649.05010Shelah, Saharon 39 1988 Forcing closed unbounded sets. Zbl 0568.03024Abraham, Uri; Shelah, Saharon 39 1983 Remarks on superatomic Boolean algebras. Zbl 0643.03038Baumgartner, James E.; Shelah, Saharon 38 1987 The tree property at successors of singular cardinals. Zbl 0874.03060Magidor, Menachem; Shelah, Saharon 37 1996 Whitehead groups may not be free even assuming CH. II. Zbl 0467.03049Shelah, Saharon 37 1980 On successors of singular cardinals. Zbl 0449.03045Shelah, Saharon 37 1979 A proof of Vaught’s conjecture for \(\omega\)-stable theories. Zbl 0584.03021Shelah, S.; Harrington, L.; Makkai, M. 36 1984 The undecidability of the recursively enumerable degrees. Zbl 0518.03016Harrington, Leo; Shelah, Saharon 35 1982 When does almost free imply free? (For groups, transversals, etc.). Zbl 0819.20059Magidor, Menachem; Shelah, Saharon 34 1994 Whitehead groups may be not free, even assuming CH. I. Zbl 0369.02035Shelah, Saharon 34 1977 Norms on possibilities. I: Forcing with trees and creatures. Zbl 0940.03059Rosłanowski, Andrzej; Shelah, Saharon 33 1999 Toward categoricity for classes with no maximal models. Zbl 0945.03048Shelah, Saharon; Villaveces, Andrés 33 1999 Advances in cardinal arithmetic. Zbl 0844.03028Shelah, Saharon 32 1993 Diamonds. Zbl 1280.03047Shelah, Saharon 31 2010 On the strong equality between supercompactness and strong compactness. Zbl 0864.03036Apter, Arthur W.; Shelah, Saharon 31 1997 Strongly dependent theories. Zbl 1371.03043Shelah, Saharon 30 2014 The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). Zbl 0718.03037Judah, Haim; Shelah, Saharon 30 1990 \(\Delta^ 1_ 2\)-sets of reals. Zbl 0668.03020Ihoda, Jaime I.; Shelah, Saharon 30 1989 The generalized continuum hypothesis revisited. Zbl 0955.03054Shelah, Saharon 29 2000 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 29 1990 Generalized quantifiers and compact logic. Zbl 0322.02010Shelah, Saharon 29 1975 Models with second order properties. II: Trees with no undefined branches. Zbl 0383.03019Shelah, Saharon 28 1978 Ultrafilters with small generating sets. Zbl 0681.03033Blass, Andreas; Shelah, Saharon 27 1989 Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\). Zbl 0324.02038Shelah, Saharon 27 1975 Categoricity of an abstract elementary class in two successive cardinals. Zbl 0999.03030Shelah, Saharon 26 2001 Categoricity of theories in \(L_{\kappa \omega}\), with \(\kappa\) a compact cardinal. Zbl 0704.03015Shelah, Saharon; Makkai, Michael 25 1990 Souslin forcing. Zbl 0673.03039Ihoda, Jaime I.; Shelah, Saharon 25 1988 Expected computation time for Hamiltonian path problem. Zbl 0654.68083Gurevich, Yuri; Shelah, Saharon 25 1987 Superstable fields and groups. Zbl 0475.03012Cherlin, G.; Shelah, S. 25 1980 A weak generalization of MA to higher cardinals. Zbl 0384.03032Shelah, S. 25 1978 Non-forking frames in abstract elementary classes. Zbl 1315.03050Jarden, Adi; Shelah, Saharon 24 2013 Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable. Zbl 0705.03028Shelah, Saharon; Woodin, Hugh 24 1990 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 Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 06503635Malliaris, M.; Shelah, S. 23 2016 On random models of finite power and monadic logic. Zbl 0579.03006Kaufmann, Matt; Shelah, Saharon 23 1985 \(\Delta\)-logics and generalized quantifiers. Zbl 0346.02007Makowsky, J. A.; Shelah, Saharon; Stavi, Jonathan 23 1976 The bounded proper forcing axiom. Zbl 0819.03042Goldstern, Martin; Shelah, Saharon 22 1995 Nonexistence of universal orders in many cardinals. Zbl 0790.03036Kojman, Menachem; Shelah, Saharon 22 1992 Forcings with ideals and simple forcing notions. Zbl 0686.03027Gitik, Moti; Shelah, Saharon 22 1989 Classification of first order theories which have a structure theorem. Zbl 0578.03016Shelah, Saharon 22 1985 Independence results. Zbl 0451.03017Shelah, Saharon 22 1980 Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012Shelah, Saharon 21 2016 Two cardinal invariants of the continuum \(({\mathfrak d} <{\mathfrak a})\) and FS linearly ordered iterated forcing. Zbl 1106.03044Shelah, Saharon 21 2004 On \(\vartriangleleft^{*}\)-maximality. Zbl 1040.03029Džamonja, Mirna; Shelah, Saharon 21 2004 Randomness and semigenericity. Zbl 0952.03029Baldwin, John T.; Shelah, Saharon 21 1997 Cardinal invariants above the continuum. Zbl 0835.03013Cummings, James; Shelah, Saharon 21 1995 Sacks forcing, Laver forcing, and Martin’s axiom. Zbl 0755.03026Judah, Haim; Miller, Arnold W.; Shelah, Saharon 21 1992 Chang’s conjecture for \(\aleph_\omega\). Zbl 0696.03023Levinski, Jean-Pierre; Magidor, Menachem; Shelah, Saharon 21 1990 Near coherence of filters. III: A simplified consistency proof. Zbl 0702.03030Blass, Andreas; Shelah, Saharon 21 1989 Can the fundamental (homotopy) group of a space be the rationals? Zbl 0661.55012Shelah, Saharon 21 1988 Incompactness in regular cardinals. Zbl 0617.03025Shelah, Saharon 21 1985 Second-order quantifiers and the complexity of theories. Zbl 0596.03033Baldwin, J. T.; Shelah, S. 21 1985 The spectrum problem. I: \(\aleph_{\epsilon}\)-saturated models, the main gap. Zbl 0532.03013Shelah, Saharon 21 1982 Martin’s axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic. Zbl 0457.03048Avraham, Uri; Shelah, Saharon 21 1981 Classification theory for abstract elementary classes. Vol 2. Zbl 1225.03037Shelah, Saharon 20 2009 Cotorsion theories and splitters. Zbl 0962.20039Göbel, Rüdiger; Shelah, Saharon 20 2000 Strong splitting in stable homogeneous models. Zbl 0961.03028Hyttinen, Tapani; Shelah, Saharon 20 2000 Uncountable universal locally finite groups. Zbl 0363.20032Macintyre, Angus J.; Shelah, Saharon 20 1976 Universal graphs with forbidden subgraphs and algebraic closure. Zbl 0928.03049Cherlin, Gregory; Shelah, Saharon; Shi, Niandong 19 1999 Further cardinal arithmetic. Zbl 0864.03032Shelah, Saharon 19 1996 On the number of minimal models. Zbl 0389.03014Shelah, Saharon 19 1978 Jonsson algebras in successor cardinals. Zbl 0384.03016Shelah, S. 19 1978 The number of non-isomorphic models of an unstable first-order theory. Zbl 0226.02045Shelah, Saharon 19 1971 Minimal bounded index subgroup for dependent theories. Zbl 1144.03026Shelah, Saharon 18 2008 On strong measure zero subsets of \({}^\kappa 2\). Zbl 0994.03038Halko, Aapo; Shelah, Saharon 18 2001 On what I do not understand (and have something to say), model theory. Zbl 0965.03042Shelah, Saharon 18 2000 Exponentiation in power series fields. Zbl 0888.12004Kuhlmann, Franz-Viktor; Kuhlmann, Salma; Shelah, Saharon 18 1997 Uncountable constructions for B. A., e. c. groups and Banach spaces. Zbl 0589.03012Shelah, Saharon 18 1985 Isomorphism types of Aronszajn trees. Zbl 0566.03032Abraham, U.; Shelah, S. 18 1985 S-forcing. I: a ”black-box” theorem for morasses, with applications to super-Souslin trees. Zbl 0513.03023Shelah, S.; Stanley, L. 18 1982 Countably compact groups without non-trivial convergent sequences. Zbl 07291898Hrušák, M.; van Mill, J.; Ramos-García, U. A.; Shelah, S. 4 2021 Cardinal characteristics at \(\aleph_\omega\). Zbl 07200100Garti, Shimon; Gitik, M.; Shelah, S. 2 2020 Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. Zbl 1439.05085Garti, Shimon; Magidor, Menachem; Shelah, Saharon 1 2020 A small ultrafilter number at smaller cardinals. Zbl 07184235Raghavan, Dilip; Shelah, Saharon 1 2020 Local character of Kim-independence. Zbl 07020582Kaplan, Itay; Ramsey, Nicholas; Shelah, Saharon 6 2019 Cichoń’s maximum. Zbl 07097497Goldstern, Martin; Kellner, Jakob; Shelah, Saharon 4 2019 Another ordering of the ten cardinal characteristics in Cichoń’s diagram. Zbl 07088826Kellner, Jakob; Shelah, Saharon; Tănasie, Anda R. 3 2019 Reconstructing structures with the strong small index property up to bi-definability. Zbl 07087867Paolini, Gianluca; Shelah, 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 Compactness in singular cardinals revisited. Zbl 1449.03015Shelah, Saharon 1 2019 Generalizing random real forcing for inaccessible cardinals. Zbl 07143822Cohen, Shani; Shelah, Saharon 1 2019 Universal theories and compactly expandable models. Zbl 1441.03024Casanovas, Enrique; Shelah, Saharon 1 2019 On the non-existence of mad families. Zbl 07043048Horowitz, Haim; Shelah, Saharon 1 2019 A new look at interpretability and saturation. Zbl 07036294Malliaris, M.; Shelah, S. 1 2019 Saturated null and meager ideal. Zbl 07031955Kumar, Ashutosh; Shelah, Saharon 1 2019 Keisler’s order has infinitely many classes. Zbl 1402.03045Malliaris, Maryanthe; Shelah, Saharon 9 2018 Abstract elementary classes stable in \(\aleph_{0}\). Zbl 06880842Shelah, Saharon; Vasey, Sebastien 4 2018 On the spectrum of characters of ultrafilters. Zbl 1455.03059Garti, Shimon; Magidor, Menachem; Shelah, Saharon 3 2018 Random reals and polarized colorings. Zbl 1413.03008Garti, Shimon; Shelah, Saharon 3 2018 The automorphism group of Hall’s universal group. Zbl 1427.20043Paolini, Gianluca; Shelah, Saharon 3 2018 On the cofinality of the splitting number. Zbl 1436.03260Dow, Alan; Shelah, Saharon 3 2018 Clubs on quasi measurable cardinals. Zbl 07198300Kumar, Ashutosh; Shelah, Saharon 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 The spectrum of ultraproducts of finite cardinals for an ultrafilter. Zbl 1424.03015Shelah, S. 1 2018 Small-large subgroups of the reals. Zbl 1441.03039Rosłanowski, Andrzej; Shelah, Saharon 1 2018 Creature forcing and five cardinal characteristics in Cichoń’s diagram. Zbl 1404.03040Fischer, Arthur; Goldstern, Martin; Kellner, Jakob; Shelah, Saharon 7 2017 Two inequalities between cardinal invariants. Zbl 1420.03127Raghavan, Dilip; Shelah, Saharon 7 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 Model-theoretic applications of cofinality spectrum problems. Zbl 1423.03177Malliaris, Maryanthe; Shelah, Saharon 5 2017 A parallel to the null ideal for inaccessible \(\lambda\). I. Zbl 1417.03266Shelah, Saharon 5 2017 On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility. Zbl 1423.03195Raghavan, Dilip; Shelah, Saharon 5 2017 Decidability and classification of the theory of integers with primes. Zbl 1422.03071Kaplan, Itay; Shelah, Saharon 4 2017 Universal structures. Zbl 1417.03231Shelah, Saharon 4 2017 Group metrics for graph products of cyclic groups. Zbl 1383.54036Paolini, Gianluca; Shelah, Saharon 3 2017 A framework for forcing constructions at successors of singular cardinals. Zbl 1423.03185Cummings, James; Džamonja, Mirna; Magidor, Menachem; Morgan, Charles; Shelah, Saharon 3 2017 A transversal of full outer measure. Zbl 1423.03187Kumar, Ashutosh; Shelah, Saharon 2 2017 Open problems on ultrafilters and some connections to the continuum. Zbl 1402.03038Malliaris, M.; Shelah, S. 2 2017 On the verge of inconsistency: Magidor cardinals and Magidor filters. Zbl 1412.03020Garti, Shimon; Hayut, Yair; Shelah, Saharon 2 2017 Exact saturation in simple and NIP theories. Zbl 1420.03066Kaplan, Itay; Shelah, Saharon; Simon, Pierre 1 2017 Closed sets which consistently have few translations covering the line. Zbl 1420.03126Bartoszynski, Tomek; Larson, Paul; Shelah, Saharon 1 2017 Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 06503635Malliaris, M.; Shelah, S. 23 2016 Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012Shelah, Saharon 21 2016 Existence of optimal ultrafilters and the fundamental complexity of simple theories. Zbl 1431.03048Malliaris, M.; Shelah, S. 11 2016 On non-forking spectra. Zbl 06669860Chernikov, Artem; Kaplan, Itay; Shelah, Saharon 8 2016 Open and solved problems concerning polarized partition relations. Zbl 06602778Garti, Shimon; Shelah, Saharon 5 2016 The left side of Cichoń’s diagram. Zbl 1431.03064Goldstern, Martin; Mejía, Diego Alejandro; Shelah, Saharon 5 2016 Rigidity of continuous quotients. Zbl 06527391Farah, Ilijas; Shelah, Saharon 5 2016 Universal graphs with a forbidden subgraph: block path solidity. Zbl 1389.05112Cherlin, Gregory; 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 Cofinality of normal ideals on \([\lambda]^{<\kappa}\). I. Zbl 1408.03032Matet, Pierre; Péan, Cédric; Shelah, Saharon 3 2016 On cuts in ultraproducts of linear orders. I. Zbl 1380.03036Golshani, Mohammad; Shelah, Saharon 3 2016 Stable theories and representation over sets. Zbl 1412.03015Shelah, Saharon; Cohen, Moran 3 2016 Constructing many atomic models in \(\aleph_1\). Zbl 1383.03045Baldwin, John T.; Laskowski, Michael C.; Shelah, Saharon 2 2016 Cofinality spectrum problems: the axiomatic approach. Zbl 06642735Malliaris, M.; Shelah, S. 2 2016 The generic pair conjecture for dependent finite diagrams. Zbl 1377.03023Kaplan, Itay; Lavi, Noa; Shelah, Saharon 2 2016 Forcing a countable structure to belong to the ground model. Zbl 1372.03059Kaplan, Itay; Shelah, 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 Lower bounds on coloring numbers from hardness hypotheses in pcf theory. Zbl 06640957Shelah, Saharon 1 2016 Beginning of stability theory for Polish spaces. Zbl 1366.03214Shelah, Saharon 1 2016 When automorphisms of \(\mathcal P(\kappa)/[\kappa]^{<\aleph_0}\) are trivial off a small set. Zbl 1432.03095Shelah, Saharon; Steprāns, Juris 1 2016 No universal group in a cardinal. Zbl 1402.03048Shelah, Saharon 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. 12 2015 Dependent theories and the generic pair conjecture. Zbl 1338.03065Shelah, Saharon 6 2015 Almost Galois \(\omega\)-stable classes. Zbl 1382.03059Baldwin, John T.; Larson, Paul B.; Shelah, Saharon 3 2015 Symmetrically complete ordered sets abelian groups and fields. Zbl 1345.06016Kuhlmann, Katarzyna; Kuhlmann, Franz-Viktor; Shelah, Saharon 2 2015 Mad spectra. Zbl 1367.03093Shelah, Saharon; Spinas, Otmar 2 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 Borel completeness of some \(\aleph_{0}\)-stable theories. Zbl 1373.03056Laskowski, Michael C.; Shelah, Saharon 2 2015 Saturating the random graph with an independent family of small range. Zbl 1429.03135Malliaris, Maryanthe; Shelah, Saharon 1 2015 Models of PA: when two elements are necessarily order automorphic. Zbl 1367.03072Shelah, Saharon 1 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 Strongly dependent theories. Zbl 1371.03043Shelah, Saharon 30 2014 Regularity lemmas for stable graphs. Zbl 1283.05234Malliaris, M.; Shelah, S. 14 2014 Partition calculus and cardinal invariants. Zbl 1322.03033Garti, Shimon; Shelah, Saharon 12 2014 Model-theoretic properties of ultrafilters built by independent families of functions. Zbl 1338.03055Malliaris, M.; Shelah, S. 6 2014 Trivial automorphisms. Zbl 1341.03070Farah, Ilijas; Shelah, Saharon 5 2014 Prescribing endomorphism algebras of \(\aleph_n\)-free modules. Zbl 1312.16024Göbel, Rüdiger; Herden, Daniel; Shelah, Saharon 4 2014 Examples in dependent theories. Zbl 1337.03044Kaplan, Itay; Shelah, Saharon 4 2014 Borel conjecture and dual Borel conjecture. Zbl 1298.03106Goldstern, Martin; Kellner, Jakob; Shelah, Saharon; Wohofsky, Wolfgang 4 2014 A dependent theory with few indiscernibles. Zbl 1341.03047Kaplan, Itay; Shelah, Saharon 3 2014 Ordered black boxes: existence. Zbl 1314.03042Shelah, Saharon 2 2014 Dependent \(T\) and existence of limit models. Zbl 1335.03033Shelah, Saharon 2 2014 A Hanf number for saturation and omission: the superstable case. Zbl 1355.03027Baldwin, John T.; Shelah, Saharon 1 2014 Pseudo pcf. Zbl 1341.03059Shelah, Saharon 1 2014 Around cofin. Zbl 1338.03094Rosłanowski, Andrzej; Shelah, Saharon 1 2014 Many countable support iterations of proper forcings preserve Souslin trees. Zbl 1323.03060Mildenberger, Heike; Shelah, Saharon 1 2014 Non-forking frames in abstract elementary classes. Zbl 1315.03050Jarden, Adi; Shelah, Saharon 24 2013 An Efimov space from Martin’s axiom. Zbl 1284.54008Dow, Alan; Shelah, Saharon 15 2013 A dividing line within simple unstable theories. Zbl 1323.03042Malliaris, M.; Shelah, Saharon 12 2013 General topology meets model theory, on \(\mathfrak p\) and \(\mathfrak t\). Zbl 1301.03041Malliaris, Maryanthe; Shelah, Saharon 11 2013 Chain conditions in dependent groups. Zbl 1320.03069Kaplan, Itay; Shelah, Saharon 7 2013 On incompactness for chromatic number of graphs. Zbl 1299.03052Shelah, S. 6 2013 Pcf and abelian groups. Zbl 1316.03023Shelah, Saharon 5 2013 More about \(\lambda \)-support iterations of \((<\lambda)\)-complete forcing notions. Zbl 1296.03025Rosłanowski, Andrzej; Shelah, Saharon 3 2013 \(\aleph_n\)-free modules over complete discrete valuation domains with almost trivial dual. Zbl 1272.13009Göbel, Rüdiger; Shelah, Saharon; Strüngmann, Lutz 3 2013 Universality of the lattice of transformation monoids. Zbl 1286.06009Pinsker, Michael; Shelah, Saharon 2 2013 Independent families in Boolean algebras with some separation properties. Zbl 1283.06018Koszmider, Piotr; Shelah, Saharon 2 2013 ...and 801 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,286 Authors 532 Shelah, Saharon 47 Friedman, Sy-David 46 Göbel, Rüdiger 46 Pillay, Anand 45 Gitik, Moti 44 Baldwin, John T. 43 Apter, Arthur W. 40 Hyttinen, Tapani 36 Dow, Alan S. 33 Komjáth, Péter 33 Todorcevic, Stevo B. 29 Magidor, Menachem 29 Rinot, Assaf 27 Brendle, Jörg 27 Eklof, Paul C. 26 Cummings, James 26 Gurevich, Yuri 26 Vasey, Sebastien 26 Zapletal, Jindřich 25 Koszmider, Piotr B. 25 Trlifaj, Jan jun. 24 Hrušák, Michael 24 Krueger, John 24 Larson, Paul B. 24 Mekler, Alan H. 24 Steprāns, Juris 23 Blass, Andreas Raphael 23 Matet, Pierre 23 Zdoms’kyĭ, Lyubomyr Sergiĭovych 22 Asperó, David 22 Džamonja, Mirna 22 Garti, Shimon 22 Soukup, Lajos 21 Farah, Ilijas 21 Laskowski, Michael Chris 21 Mildenberger, Heike 20 Kojman, Menachem 20 Rabinovich, Alexander 20 Rosłanowski, Andrzej 19 Bagaria, Joan 19 Foreman, Matthew D. 19 Malliaris, Maryanthe Elizabeth 19 Nešetřil, Jaroslav 19 Tall, Franklin D. 18 Goldstern, Martin Robert 18 Hrushovski, Ehud 18 Judah, Haim I. 18 Kaplan, Itay 18 Rubin, Matatyahu 18 Zhukovskii, Maxim Evgenievich 17 Chernikov, Artem 17 Dugas, Manfred H. 17 Spinas, Otmar 17 Tsaban, Boaz 17 Velickovic, Boban 16 Hamkins, Joel David 16 Juhász, István 16 Moore, Justin Tatch 15 Bartoszynski, Tomek 15 Fischer, Vera 15 Golshani, Mohammad 15 Grossberg, Rami P. 14 Eisworth, Todd 14 Kellner, Jakob 14 Kim, Byunghan 14 Lambie-Hanson, Chris 14 Lücke, Philipp Moritz 14 Raghavan, Dilip 14 Schindler, Ralf-Dieter 14 Simon, Pierre 14 Sinapova, Dima 14 Strüngmann, Lutz H. 13 Boney, Will 13 Fuchs, László 13 Schmerl, James H. 13 Väänänen, Jouko Antero 12 Anstee, Richard P. 12 Cox, Sean D. 12 Droste, Manfred 12 Hayut, Yair 12 Kurilić, Miloš S. 12 Newelski, Ludomir 11 Fuchino, Sakaé 11 Geschke, Stefan 11 Jin, Renling 11 Kuhlmann, Salma 11 Nyikos, Peter J. 11 Shore, Richard A. 11 Thomas, Simon R. 11 Unger, Spencer T. 11 Usuba, Toshimichi 11 van Mill, Jan 10 Buechler, Steven 10 Burke, Maxim R. 10 Conant, Gabriel 10 Dobrinen, Natasha L. 10 Enayat, Ali 10 Hart, Bradd T. 10 Jech, Thomas J. 10 Kanamori, Akihiro ...and 2,186 more Authors all top 5 Cited in 274 Serials 510 The Journal of Symbolic Logic 459 Annals of Pure and Applied Logic 313 Israel Journal of Mathematics 270 Topology and its Applications 234 Archive for Mathematical Logic 196 Proceedings of the American Mathematical Society 173 Transactions of the American Mathematical Society 80 Mathematical Logic Quarterly (MLQ) 79 The Bulletin of Symbolic Logic 62 Notre Dame Journal of Formal Logic 61 Advances in Mathematics 61 Journal of Algebra 59 Discrete Mathematics 56 Algebra Universalis 54 Theoretical Computer Science 51 Journal of Mathematical Logic 43 Fundamenta Mathematicae 40 Algebra and Logic 34 Journal of Pure and Applied Algebra 32 Journal of Combinatorial Theory. Series A 29 Information and Computation 27 Order 25 European Journal of Combinatorics 25 Acta Mathematica Hungarica 24 Journal of Computer and System Sciences 23 Communications in Algebra 20 Siberian Mathematical Journal 19 Journal of Mathematical Analysis and Applications 19 Mathematische Zeitschrift 19 Journal of the American Mathematical Society 18 Discrete Applied Mathematics 17 Journal of Combinatorial Theory. Series B 16 Rendiconti del Seminario Matematico della Università di Padova 15 Journal of Mathematical Sciences (New York) 14 Information Processing Letters 14 Periodica Mathematica Hungarica 14 Combinatorica 13 Archiv für Mathematische Logik und Grundlagenforschung 13 Rocky Mountain Journal of Mathematics 12 Studia Logica 12 International Journal of Algebra and Computation 11 Journal of Functional Analysis 11 Graphs and Combinatorics 11 Discrete & Computational Geometry 10 Mathematical Notes 10 Czechoslovak Mathematical Journal 10 SIAM Journal on Discrete Mathematics 10 Forum Mathematicum 10 Journal of Applied Analysis 10 Central European Journal of Mathematics 10 Logical Methods in Computer Science 9 Archiv der Mathematik 9 Semigroup Forum 9 Random Structures & Algorithms 8 Bulletin of the Australian Mathematical Society 8 Journal of the Mathematical Society of Japan 8 Journal of Soviet Mathematics 8 Monatshefte für Mathematik 8 Bulletin of the American Mathematical Society. New Series 8 The Electronic Journal of Combinatorics 8 Doklady Mathematics 8 Journal of Group Theory 8 Journal of the European Mathematical Society (JEMS) 7 Acta Mathematica 7 Results in Mathematics 7 Synthese 7 Bulletin of the Polish Academy of Sciences, Mathematics 7 European Journal of Mathematics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Problems of Information Transmission 6 Bulletin of the London Mathematical Society 6 Mathematische Annalen 6 Selecta Mathematica. New Series 6 Annals of Mathematics and Artificial Intelligence 6 Journal of the Institute of Mathematics of Jussieu 6 Forum of Mathematics, Sigma 5 Memoirs of the American Mathematical Society 5 Combinatorics, Probability and Computing 5 Georgian Mathematical Journal 5 Theory of Computing Systems 5 Sarajevo Journal of Mathematics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Compositio Mathematica 4 Inventiones Mathematicae 4 Journal of Philosophical Logic 4 Manuscripta Mathematica 4 Mathematica Slovaca 4 Quaestiones Mathematicae 4 Advances in Applied Mathematics 4 Computational Complexity 4 Journal of Applied Non-Classical Logics 4 Topology Proceedings 4 Matematicheskie Trudy 4 Lobachevskii Journal of Mathematics 4 Algebraic & Geometric Topology 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Algebra and its Applications 4 Mediterranean Journal of Mathematics 3 The Mathematical Intelligencer 3 Commentationes Mathematicae Universitatis Carolinae ...and 174 more Serials all top 5 Cited in 51 Fields 2,996 Mathematical logic and foundations (03-XX) 526 General topology (54-XX) 452 Combinatorics (05-XX) 437 Group theory and generalizations (20-XX) 258 Order, lattices, ordered algebraic structures (06-XX) 253 Computer science (68-XX) 126 Functional analysis (46-XX) 125 Associative rings and algebras (16-XX) 113 General algebraic systems (08-XX) 110 Measure and integration (28-XX) 101 Topological groups, Lie groups (22-XX) 94 Commutative algebra (13-XX) 85 Field theory and polynomials (12-XX) 69 Category theory; homological algebra (18-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Probability theory and stochastic processes (60-XX) 41 History and biography (01-XX) 40 Dynamical systems and ergodic theory (37-XX) 39 General and overarching topics; collections (00-XX) 34 Real functions (26-XX) 34 Algebraic topology (55-XX) 33 Convex and discrete geometry (52-XX) 30 Number theory (11-XX) 28 Manifolds and cell complexes (57-XX) 18 Algebraic geometry (14-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Operations research, mathematical programming (90-XX) 13 Operator theory (47-XX) 10 Approximations and expansions (41-XX) 9 Abstract harmonic analysis (43-XX) 9 Geometry (51-XX) 9 Information and communication theory, circuits (94-XX) 8 Functions of a complex variable (30-XX) 8 Statistics (62-XX) 5 Nonassociative rings and algebras (17-XX) 5 Sequences, series, summability (40-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 \(K\)-theory (19-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-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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