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Shelah, Saharon

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 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
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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
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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
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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)

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 0889.03041
Shelah, Saharon
1998
Proper forcing. Zbl 0495.03035
Shelah, Saharon
1982
Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028
Foreman, M.; Magidor, M.; Shelah, Saharon
1988
Cardinal arithmetic. Zbl 0848.03025
Shelah, Saharon
1994
Classification theory and the number of non-isomorphic models. Zbl 0388.03009
Shelah, S.
1978
A combinatorial problem; stability and order for models and theories in infinitary languages. Zbl 0239.02024
Shelah, Saharon
1972
Classification theory and the number of non-isomorphic models. 2nd rev. ed. Zbl 0713.03013
Shelah, Saharon
1990
Can you take Solovay’s inaccessible away? Zbl 0596.03055
Shelah, Saharon
1984
The monadic theory of order. Zbl 0345.02034
Shelah, Saharon
1975
Infinite Abelian groups, Whitehead problem and some constructions. Zbl 0318.02053
Shelah, Saharon
1974
A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals. Zbl 0369.02034
Shelah, Saharon
1975
A weak version of $$\lozenge$$ which follows from $$2^{\aleph_0}<2^{\aleph_1}$$. Zbl 0403.03040
Devlin, Keith J.; Shelah, Saharon
1978
Simple unstable theories. Zbl 0489.03008
Shelah, Saharon
1980
There may be simple $$P_{\aleph _ 1}$$- and $$P_{\aleph _ 2}$$-points and the Rudin-Keisler ordering may be downward directed. Zbl 0634.03047
Blass, Andreas; Shelah, Saharon
1987
Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory. Zbl 0281.02052
Shelah, Saharon
1971
The small index property for $$\omega$$-stable $$\omega$$-categorical structures and for the random graph. Zbl 0788.03039
Hodges, Wilfrid; Hodkinson, Ian; Lascar, Daniel; Shelah, Saharon
1993
On the consistency of some partition theorems for continuous colorings, and the structure of $$\aleph _ 1$$-dense real order types. Zbl 0585.03019
Abraham, Uri; Rubin, Matatyahu; Shelah, Saharon
1985
Dependent first order theories, continued. Zbl 1195.03040
Shelah, Saharon
2009
Finite diagrams stable in power. Zbl 0204.31104
Shelah, S.
1970
zero-one laws for sparse random graphs. Zbl 0647.05051
Shelah, Saharon; Spencer, Joel
1988
Fixed-point extensions of first-order logic. Zbl 0621.03013
Gurevich, Yuri; Shelah, Saharon
1986
Classification theory for non-elementary classes. I: The number of uncountable models of $$\psi \in L_{\omega _ 1,\omega}$$. Zbl 0552.03019
Shelah, Saharon
1983
Every two elementarily equivalent models have isomorphic ultrapowers. Zbl 0224.02045
Shelah, Saharon
1971
On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041
Gitik, Moti; Shelah, Saharon
1989
Categoricity for abstract classes with amalgamation. Zbl 0945.03049
Shelah, Saharon
1999
Some exact equiconsistency results in set theory. Zbl 0579.03039
Harrington, Leo; Shelah, Saharon
1985
Classification theory for abstract elementary classes. Zbl 1225.03036
Shelah, Saharon
2009
Reflecting stationary sets and successors of singular cardinals. Zbl 0742.03017
Shelah, Saharon
1991
Toward classifying unstable theories. Zbl 0874.03043
Shelah, Saharon
1996
Primitive recursive bounds for van der Waerden numbers. Zbl 0649.05010
Shelah, Saharon
1988
Forcing closed unbounded sets. Zbl 0568.03024
Abraham, Uri; Shelah, Saharon
1983
Remarks on superatomic Boolean algebras. Zbl 0643.03038
Baumgartner, James E.; Shelah, Saharon
1987
The tree property at successors of singular cardinals. Zbl 0874.03060
Magidor, Menachem; Shelah, Saharon
1996
Whitehead groups may not be free even assuming CH. II. Zbl 0467.03049
Shelah, Saharon
1980
On successors of singular cardinals. Zbl 0449.03045
Shelah, Saharon
1979
A proof of Vaught’s conjecture for $$\omega$$-stable theories. Zbl 0584.03021
Shelah, S.; Harrington, L.; Makkai, M.
1984
The undecidability of the recursively enumerable degrees. Zbl 0518.03016
Harrington, Leo; Shelah, Saharon
1982
When does almost free imply free? (For groups, transversals, etc.). Zbl 0819.20059
Magidor, Menachem; Shelah, Saharon
1994
Whitehead groups may be not free, even assuming CH. I. Zbl 0369.02035
Shelah, Saharon
1977
Norms on possibilities. I: Forcing with trees and creatures. Zbl 0940.03059
Rosłanowski, Andrzej; Shelah, Saharon
1999
Toward categoricity for classes with no maximal models. Zbl 0945.03048
Shelah, Saharon; Villaveces, Andrés
1999
Advances in cardinal arithmetic. Zbl 0844.03028
Shelah, Saharon
1993
Diamonds. Zbl 1280.03047
Shelah, Saharon
2010
On the strong equality between supercompactness and strong compactness. Zbl 0864.03036
Apter, Arthur W.; Shelah, Saharon
1997
Strongly dependent theories. Zbl 1371.03043
Shelah, Saharon
2014
The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). Zbl 0718.03037
Judah, Haim; Shelah, Saharon
1990
$$\Delta^ 1_ 2$$-sets of reals. Zbl 0668.03020
Ihoda, Jaime I.; Shelah, Saharon
1989
The generalized continuum hypothesis revisited. Zbl 0955.03054
Shelah, Saharon
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 0723.03017
1990
Generalized quantifiers and compact logic. Zbl 0322.02010
Shelah, Saharon
1975
Models with second order properties. II: Trees with no undefined branches. Zbl 0383.03019
Shelah, Saharon
1978
Ultrafilters with small generating sets. Zbl 0681.03033
Blass, Andreas; Shelah, Saharon
1989
Categoricity in $$\aleph_1$$ of sentences in $$L_{\omega_1\omega}(Q)$$. Zbl 0324.02038
Shelah, Saharon
1975
Categoricity of an abstract elementary class in two successive cardinals. Zbl 0999.03030
Shelah, Saharon
2001
Categoricity of theories in $$L_{\kappa \omega}$$, with $$\kappa$$ a compact cardinal. Zbl 0704.03015
Shelah, Saharon; Makkai, Michael
1990
Souslin forcing. Zbl 0673.03039
Ihoda, Jaime I.; Shelah, Saharon
1988
Expected computation time for Hamiltonian path problem. Zbl 0654.68083
Gurevich, Yuri; Shelah, Saharon
1987
Superstable fields and groups. Zbl 0475.03012
Cherlin, G.; Shelah, S.
1980
A weak generalization of MA to higher cardinals. Zbl 0384.03032
Shelah, S.
1978
Non-forking frames in abstract elementary classes. Zbl 1315.03050
2013
Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable. Zbl 0705.03028
Shelah, Saharon; Woodin, Hugh
1990
PFA implies all automorphisms are trivial. Zbl 0691.03031
Shelah, Saharon; Steprāns, Juris
1988
The lazy model-theoretician’s guide to stability. Zbl 0359.02052
Shelah, Saharon
1975
Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 06503635
Malliaris, M.; Shelah, S.
2016
On random models of finite power and monadic logic. Zbl 0579.03006
Kaufmann, Matt; Shelah, Saharon
1985
$$\Delta$$-logics and generalized quantifiers. Zbl 0346.02007
Makowsky, J. A.; Shelah, Saharon; Stavi, Jonathan
1976
The bounded proper forcing axiom. Zbl 0819.03042
Goldstern, Martin; Shelah, Saharon
1995
Nonexistence of universal orders in many cardinals. Zbl 0790.03036
Kojman, Menachem; Shelah, Saharon
1992
Forcings with ideals and simple forcing notions. Zbl 0686.03027
Gitik, Moti; Shelah, Saharon
1989
Classification of first order theories which have a structure theorem. Zbl 0578.03016
Shelah, Saharon
1985
Independence results. Zbl 0451.03017
Shelah, Saharon
1980
Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012
Shelah, Saharon
2016
Two cardinal invariants of the continuum $$({\mathfrak d} <{\mathfrak a})$$ and FS linearly ordered iterated forcing. Zbl 1106.03044
Shelah, Saharon
2004
On $$\vartriangleleft^{*}$$-maximality. Zbl 1040.03029
Džamonja, Mirna; Shelah, Saharon
2004
Randomness and semigenericity. Zbl 0952.03029
Baldwin, John T.; Shelah, Saharon
1997
Cardinal invariants above the continuum. Zbl 0835.03013
Cummings, James; Shelah, Saharon
1995
Sacks forcing, Laver forcing, and Martin’s axiom. Zbl 0755.03026
Judah, Haim; Miller, Arnold W.; Shelah, Saharon
1992
Chang’s conjecture for $$\aleph_\omega$$. Zbl 0696.03023
Levinski, Jean-Pierre; Magidor, Menachem; Shelah, Saharon
1990
Near coherence of filters. III: A simplified consistency proof. Zbl 0702.03030
Blass, Andreas; Shelah, Saharon
1989
Can the fundamental (homotopy) group of a space be the rationals? Zbl 0661.55012
Shelah, Saharon
1988
Incompactness in regular cardinals. Zbl 0617.03025
Shelah, Saharon
1985
Second-order quantifiers and the complexity of theories. Zbl 0596.03033
Baldwin, J. T.; Shelah, S.
1985
The spectrum problem. I: $$\aleph_{\epsilon}$$-saturated models, the main gap. Zbl 0532.03013
Shelah, Saharon
1982
Martin’s axiom does not imply that every two $$chi_ 1-$$dense sets of reals are isomorphic. Zbl 0457.03048
Avraham, Uri; Shelah, Saharon
1981
Classification theory for abstract elementary classes. Vol 2. Zbl 1225.03037
Shelah, Saharon
2009
Cotorsion theories and splitters. Zbl 0962.20039
Göbel, Rüdiger; Shelah, Saharon
2000
Strong splitting in stable homogeneous models. Zbl 0961.03028
Hyttinen, Tapani; Shelah, Saharon
2000
Uncountable universal locally finite groups. Zbl 0363.20032
Macintyre, Angus J.; Shelah, Saharon
1976
Universal graphs with forbidden subgraphs and algebraic closure. Zbl 0928.03049
Cherlin, Gregory; Shelah, Saharon; Shi, Niandong
1999
Further cardinal arithmetic. Zbl 0864.03032
Shelah, Saharon
1996
On the number of minimal models. Zbl 0389.03014
Shelah, Saharon
1978
Jonsson algebras in successor cardinals. Zbl 0384.03016
Shelah, S.
1978
The number of non-isomorphic models of an unstable first-order theory. Zbl 0226.02045
Shelah, Saharon
1971
Minimal bounded index subgroup for dependent theories. Zbl 1144.03026
Shelah, Saharon
2008
On strong measure zero subsets of $${}^\kappa 2$$. Zbl 0994.03038
Halko, Aapo; Shelah, Saharon
2001
On what I do not understand (and have something to say), model theory. Zbl 0965.03042
Shelah, Saharon
2000
Exponentiation in power series fields. Zbl 0888.12004
Kuhlmann, Franz-Viktor; Kuhlmann, Salma; Shelah, Saharon
1997
Uncountable constructions for B. A., e. c. groups and Banach spaces. Zbl 0589.03012
Shelah, Saharon
1985
Isomorphism types of Aronszajn trees. Zbl 0566.03032
Abraham, U.; Shelah, S.
1985
S-forcing. I: a ”black-box” theorem for morasses, with applications to super-Souslin trees. Zbl 0513.03023
Shelah, S.; Stanley, L.
1982
Countably compact groups without non-trivial convergent sequences. Zbl 07291898
Hrušák, M.; van Mill, J.; Ramos-García, U. A.; Shelah, S.
2021
Cardinal characteristics at $$\aleph_\omega$$. Zbl 07200100
Garti, Shimon; Gitik, M.; Shelah, S.
2020
Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. Zbl 1439.05085
Garti, Shimon; Magidor, Menachem; Shelah, Saharon
2020
A small ultrafilter number at smaller cardinals. Zbl 07184235
Raghavan, Dilip; Shelah, Saharon
2020
Local character of Kim-independence. Zbl 07020582
Kaplan, Itay; Ramsey, Nicholas; Shelah, Saharon
2019
Cichoń’s maximum. Zbl 07097497
Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
2019
Another ordering of the ten cardinal characteristics in Cichoń’s diagram. Zbl 07088826
Kellner, Jakob; Shelah, Saharon; Tănasie, Anda R.
2019
Reconstructing structures with the strong small index property up to bi-definability. Zbl 07087867
Paolini, Gianluca; Shelah, Saharon
2019
Infinite monochromatic sumsets for colourings of the reals. Zbl 07057728
Komjáth, Péter; Leader, Imre; Russell, Paul A.; Shelah, Saharon; Soukup, Dániel T.; Vidnyánszky, Zoltán
2019
Compactness in singular cardinals revisited. Zbl 1449.03015
Shelah, Saharon
2019
Generalizing random real forcing for inaccessible cardinals. Zbl 07143822
Cohen, Shani; Shelah, Saharon
2019
Universal theories and compactly expandable models. Zbl 1441.03024
Casanovas, Enrique; Shelah, Saharon
2019
On the non-existence of mad families. Zbl 07043048
Horowitz, Haim; Shelah, Saharon
2019
A new look at interpretability and saturation. Zbl 07036294
Malliaris, M.; Shelah, S.
2019
Saturated null and meager ideal. Zbl 07031955
Kumar, Ashutosh; Shelah, Saharon
2019
Keisler’s order has infinitely many classes. Zbl 1402.03045
Malliaris, Maryanthe; Shelah, Saharon
2018
Abstract elementary classes stable in $$\aleph_{0}$$. Zbl 06880842
Shelah, Saharon; Vasey, Sebastien
2018
On the spectrum of characters of ultrafilters. Zbl 1455.03059
Garti, Shimon; Magidor, Menachem; Shelah, Saharon
2018
Random reals and polarized colorings. Zbl 1413.03008
Garti, Shimon; Shelah, Saharon
2018
The automorphism group of Hall’s universal group. Zbl 1427.20043
Paolini, Gianluca; Shelah, Saharon
2018
On the cofinality of the splitting number. Zbl 1436.03260
Dow, Alan; Shelah, Saharon
2018
Clubs on quasi measurable cardinals. Zbl 07198300
Kumar, Ashutosh; Shelah, Saharon
2018
The abelianization of inverse limits of groups. Zbl 1443.20082
Barnea, Ilan; Shelah, Saharon
2018
Set mappings on 4-tuples. Zbl 1455.03060
Mohsenipour, Shahram; Shelah, Saharon
2018
The spectrum of ultraproducts of finite cardinals for an ultrafilter. Zbl 1424.03015
Shelah, S.
2018
Small-large subgroups of the reals. Zbl 1441.03039
Rosłanowski, Andrzej; Shelah, Saharon
2018
Creature forcing and five cardinal characteristics in Cichoń’s diagram. Zbl 1404.03040
Fischer, Arthur; Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
2017
Two inequalities between cardinal invariants. Zbl 1420.03127
Raghavan, Dilip; Shelah, Saharon
2017
Definable groups for dependent and 2-dependent theories. Zbl 1424.03016
Shelah, Saharon
2017
The nonstationary ideal on $$P_\kappa (\lambda )$$ for $$\lambda$$ singular. Zbl 1417.03250
Matet, Pierre; Shelah, Saharon
2017
Model-theoretic applications of cofinality spectrum problems. Zbl 1423.03177
Malliaris, Maryanthe; Shelah, Saharon
2017
A parallel to the null ideal for inaccessible $$\lambda$$. I. Zbl 1417.03266
Shelah, Saharon
2017
On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility. Zbl 1423.03195
Raghavan, Dilip; Shelah, Saharon
2017
Decidability and classification of the theory of integers with primes. Zbl 1422.03071
Kaplan, Itay; Shelah, Saharon
2017
Universal structures. Zbl 1417.03231
Shelah, Saharon
2017
Group metrics for graph products of cyclic groups. Zbl 1383.54036
Paolini, Gianluca; Shelah, Saharon
2017
A framework for forcing constructions at successors of singular cardinals. Zbl 1423.03185
Cummings, James; Džamonja, Mirna; Magidor, Menachem; Morgan, Charles; Shelah, Saharon
2017
A transversal of full outer measure. Zbl 1423.03187
Kumar, Ashutosh; Shelah, Saharon
2017
Open problems on ultrafilters and some connections to the continuum. Zbl 1402.03038
Malliaris, M.; Shelah, S.
2017
On the verge of inconsistency: Magidor cardinals and Magidor filters. Zbl 1412.03020
Garti, Shimon; Hayut, Yair; Shelah, Saharon
2017
Exact saturation in simple and NIP theories. Zbl 1420.03066
Kaplan, Itay; Shelah, Saharon; Simon, Pierre
2017
Closed sets which consistently have few translations covering the line. Zbl 1420.03126
Bartoszynski, Tomek; Larson, Paul; Shelah, Saharon
2017
Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 06503635
Malliaris, M.; Shelah, S.
2016
Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012
Shelah, Saharon
2016
Existence of optimal ultrafilters and the fundamental complexity of simple theories. Zbl 1431.03048
Malliaris, M.; Shelah, S.
2016
On non-forking spectra. Zbl 06669860
Chernikov, Artem; Kaplan, Itay; Shelah, Saharon
2016
Open and solved problems concerning polarized partition relations. Zbl 06602778
Garti, Shimon; Shelah, Saharon
2016
The left side of Cichoń’s diagram. Zbl 1431.03064
Goldstern, Martin; Mejía, Diego Alejandro; Shelah, Saharon
2016
Rigidity of continuous quotients. Zbl 06527391
Farah, Ilijas; Shelah, Saharon
2016
Universal graphs with a forbidden subgraph: block path solidity. Zbl 1389.05112
Cherlin, Gregory; Shelah, Saharon
2016
On the number of Dedekind cuts and two-cardinal models of dependent theories. Zbl 1430.03053
Chernikov, Artem; Shelah, Saharon
2016
Cofinality of normal ideals on $$[\lambda]^{<\kappa}$$. I. Zbl 1408.03032
Matet, Pierre; Péan, Cédric; Shelah, Saharon
2016
On cuts in ultraproducts of linear orders. I. Zbl 1380.03036
2016
Stable theories and representation over sets. Zbl 1412.03015
Shelah, Saharon; Cohen, Moran
2016
Constructing many atomic models in $$\aleph_1$$. Zbl 1383.03045
Baldwin, John T.; Laskowski, Michael C.; Shelah, Saharon
2016
Cofinality spectrum problems: the axiomatic approach. Zbl 06642735
Malliaris, M.; Shelah, S.
2016
The generic pair conjecture for dependent finite diagrams. Zbl 1377.03023
Kaplan, Itay; Lavi, Noa; Shelah, Saharon
2016
Forcing a countable structure to belong to the ground model. Zbl 1372.03059
Kaplan, Itay; Shelah, Saharon
2016
There are no very meager sets in the model in which both the Borel conjecture and the dual Borel conjecture are true. Zbl 1358.03076
Shelah, Saharon; Wohofsky, Wolfgang
2016
Lower bounds on coloring numbers from hardness hypotheses in pcf theory. Zbl 06640957
Shelah, Saharon
2016
Beginning of stability theory for Polish spaces. Zbl 1366.03214
Shelah, Saharon
2016
When automorphisms of $$\mathcal P(\kappa)/[\kappa]^{<\aleph_0}$$ are trivial off a small set. Zbl 1432.03095
Shelah, Saharon; Steprāns, Juris
2016
No universal group in a cardinal. Zbl 1402.03048
Shelah, Saharon
2016
$$\mathrm{ZF}+\mathrm{DC}+\mathrm{AX}_4$$. Zbl 1403.03078
Shelah, Saharon
2016
Constructing regular ultrafilters from a model-theoretic point of view. Zbl 1387.03029
Malliaris, M.; Shelah, S.
2015
Dependent theories and the generic pair conjecture. Zbl 1338.03065
Shelah, Saharon
2015
Almost Galois $$\omega$$-stable classes. Zbl 1382.03059
Baldwin, John T.; Larson, Paul B.; Shelah, Saharon
2015
Symmetrically complete ordered sets abelian groups and fields. Zbl 1345.06016
Kuhlmann, Katarzyna; Kuhlmann, Franz-Viktor; Shelah, Saharon
2015
Shelah, Saharon; Spinas, Otmar
2015
Non-trivial automorphisms of $${\mathcal {P}}({\mathbb {N}})/[{\mathbb {N}}]^{<\aleph _0}$$ from variants of small dominating number. Zbl 1352.03055
Shelah, Saharon; Steprāns, Juris
2015
Borel completeness of some $$\aleph_{0}$$-stable theories. Zbl 1373.03056
2015
Saturating the random graph with an independent family of small range. Zbl 1429.03135
Malliaris, Maryanthe; Shelah, Saharon
2015
Models of PA: when two elements are necessarily order automorphic. Zbl 1367.03072
Shelah, Saharon
2015
$$\mathbf P$$-NDOP and $$\mathbf P$$-decompositions of $$\aleph_{\epsilon}$$-saturated models of superstable theories. Zbl 1372.03067
2015
Strongly dependent theories. Zbl 1371.03043
Shelah, Saharon
2014
Regularity lemmas for stable graphs. Zbl 1283.05234
Malliaris, M.; Shelah, S.
2014
Partition calculus and cardinal invariants. Zbl 1322.03033
Garti, Shimon; Shelah, Saharon
2014
Model-theoretic properties of ultrafilters built by independent families of functions. Zbl 1338.03055
Malliaris, M.; Shelah, S.
2014
Trivial automorphisms. Zbl 1341.03070
Farah, Ilijas; Shelah, Saharon
2014
Prescribing endomorphism algebras of $$\aleph_n$$-free modules. Zbl 1312.16024
Göbel, Rüdiger; Herden, Daniel; Shelah, Saharon
2014
Examples in dependent theories. Zbl 1337.03044
Kaplan, Itay; Shelah, Saharon
2014
Borel conjecture and dual Borel conjecture. Zbl 1298.03106
Goldstern, Martin; Kellner, Jakob; Shelah, Saharon; Wohofsky, Wolfgang
2014
A dependent theory with few indiscernibles. Zbl 1341.03047
Kaplan, Itay; Shelah, Saharon
2014
Ordered black boxes: existence. Zbl 1314.03042
Shelah, Saharon
2014
Dependent $$T$$ and existence of limit models. Zbl 1335.03033
Shelah, Saharon
2014
A Hanf number for saturation and omission: the superstable case. Zbl 1355.03027
Baldwin, John T.; Shelah, Saharon
2014
Pseudo pcf. Zbl 1341.03059
Shelah, Saharon
2014
Around cofin. Zbl 1338.03094
Rosłanowski, Andrzej; Shelah, Saharon
2014
Many countable support iterations of proper forcings preserve Souslin trees. Zbl 1323.03060
Mildenberger, Heike; Shelah, Saharon
2014
Non-forking frames in abstract elementary classes. Zbl 1315.03050
2013
An Efimov space from Martin’s axiom. Zbl 1284.54008
Dow, Alan; Shelah, Saharon
2013
A dividing line within simple unstable theories. Zbl 1323.03042
Malliaris, M.; Shelah, Saharon
2013
General topology meets model theory, on $$\mathfrak p$$ and $$\mathfrak t$$. Zbl 1301.03041
Malliaris, Maryanthe; Shelah, Saharon
2013
Chain conditions in dependent groups. Zbl 1320.03069
Kaplan, Itay; Shelah, Saharon
2013
On incompactness for chromatic number of graphs. Zbl 1299.03052
Shelah, S.
2013
Pcf and abelian groups. Zbl 1316.03023
Shelah, Saharon
2013
More about $$\lambda$$-support iterations of $$(<\lambda)$$-complete forcing notions. Zbl 1296.03025
Rosłanowski, Andrzej; Shelah, Saharon
2013
$$\aleph_n$$-free modules over complete discrete valuation domains with almost trivial dual. Zbl 1272.13009
Göbel, Rüdiger; Shelah, Saharon; Strüngmann, Lutz
2013
Universality of the lattice of transformation monoids. Zbl 1286.06009
Pinsker, Michael; Shelah, Saharon
2013
Independent families in Boolean algebras with some separation properties. Zbl 1283.06018
Koszmider, Piotr; Shelah, Saharon
2013
...and 801 more Documents
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
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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)

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