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Shelah, Saharon

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Author ID: shelah.saharon Recent zbMATH articles by "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: 1,101 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.
18 Judah, Haim I.
18 Steprāns, Juris
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 Soifer, Alexander
7 Tsaban, Boaz
6 Cherlin, Gregory L.
6 Grossberg, Rami P.
6 Herden, Daniel
6 Hodges, Wilfrid
6 Kumar, Ashutosh
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 Holland, Wilbur Charles jun.
3 Horowitz, Haim
3 Kaufmann, Matt
3 Kennedy, Juliette Cara
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 Golshani, Mohammad
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
84 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
9 Colloquium Mathematicum
9 Journal of Mathematical Logic
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)
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
1 Mathematical Research Letters
...and 15 more Serials

Publications by Year

Citations contained in zbMATH

899 Publications have been cited 8,332 times in 3,942 Documents Cited by Year
Proper forcing. Zbl 0495.03035
Shelah, Saharon
219
1982
Proper and improper forcing. 2nd ed. Zbl 0889.03041
Shelah, Saharon
218
1998
Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028
Foreman, M.; Magidor, M.; Shelah, Saharon
151
1988
Cardinal arithmetic. Zbl 0848.03025
Shelah, Saharon
149
1994
Classification theory and the number of non-isomorphic models. Zbl 0388.03009
Shelah, S.
148
1978
A combinatorial problem; stability and order for models and theories in infinitary languages. Zbl 0239.02024
Shelah, Saharon
144
1972
Classification theory and the number of non-isomorphic models. 2nd rev. ed. Zbl 0713.03013
Shelah, Saharon
132
1990
Can you take Solovay’s inaccessible away? Zbl 0596.03055
Shelah, Saharon
105
1984
The monadic theory of order. Zbl 0345.02034
Shelah, Saharon
105
1975
Infinite Abelian groups, Whitehead problem and some constructions. Zbl 0318.02053
Shelah, Saharon
97
1974
A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals. Zbl 0369.02034
Shelah, Saharon
82
1975
A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\). Zbl 0403.03040
Devlin, Keith J.; Shelah, Saharon
78
1978
Simple unstable theories. Zbl 0489.03008
Shelah, Saharon
70
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
69
1987
Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory. Zbl 0281.02052
Shelah, Saharon
69
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
59
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
57
1985
Dependent first order theories, continued. Zbl 1195.03040
Shelah, Saharon
53
2009
zero-one laws for sparse random graphs. Zbl 0647.05051
Shelah, Saharon; Spencer, Joel
51
1988
Fixed-point extensions of first-order logic. Zbl 0621.03013
Gurevich, Yuri; Shelah, Saharon
51
1986
Every two elementarily equivalent models have isomorphic ultrapowers. Zbl 0224.02045
Shelah, Saharon
51
1971
Finite diagrams stable in power. Zbl 0204.31104
Shelah, S.
51
1970
Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\). Zbl 0552.03019
Shelah, Saharon
50
1983
On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041
Gitik, Moti; Shelah, Saharon
47
1989
Categoricity for abstract classes with amalgamation. Zbl 0945.03049
Shelah, Saharon
45
1999
Classification theory for abstract elementary classes. Zbl 1225.03036
Shelah, Saharon
40
2009
Reflecting stationary sets and successors of singular cardinals. Zbl 0742.03017
Shelah, Saharon
40
1991
Some exact equiconsistency results in set theory. Zbl 0579.03039
Harrington, Leo; Shelah, Saharon
40
1985
Toward classifying unstable theories. Zbl 0874.03043
Shelah, Saharon
39
1996
Primitive recursive bounds for van der Waerden numbers. Zbl 0649.05010
Shelah, Saharon
39
1988
Forcing closed unbounded sets. Zbl 0568.03024
Abraham, Uri; Shelah, Saharon
39
1983
Remarks on superatomic Boolean algebras. Zbl 0643.03038
Baumgartner, James E.; Shelah, Saharon
38
1987
The tree property at successors of singular cardinals. Zbl 0874.03060
Magidor, Menachem; Shelah, Saharon
37
1996
Whitehead groups may not be free even assuming CH. II. Zbl 0467.03049
Shelah, Saharon
37
1980
On successors of singular cardinals. Zbl 0449.03045
Shelah, Saharon
37
1979
A proof of Vaught’s conjecture for \(\omega\)-stable theories. Zbl 0584.03021
Shelah, S.; Harrington, L.; Makkai, M.
36
1984
The undecidability of the recursively enumerable degrees. Zbl 0518.03016
Harrington, Leo; Shelah, Saharon
35
1982
Whitehead groups may be not free, even assuming CH. I. Zbl 0369.02035
Shelah, Saharon
34
1977
Norms on possibilities. I: Forcing with trees and creatures. Zbl 0940.03059
Rosłanowski, Andrzej; Shelah, Saharon
33
1999
When does almost free imply free? (For groups, transversals, etc.). Zbl 0819.20059
Magidor, Menachem; Shelah, Saharon
33
1994
Toward categoricity for classes with no maximal models. Zbl 0945.03048
Shelah, Saharon; Villaveces, Andrés
32
1999
Advances in cardinal arithmetic. Zbl 0844.03028
Shelah, Saharon
32
1993
Diamonds. Zbl 1280.03047
Shelah, Saharon
31
2010
On the strong equality between supercompactness and strong compactness. Zbl 0864.03036
Apter, Arthur W.; Shelah, Saharon
31
1997
The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). Zbl 0718.03037
Judah, Haim; Shelah, Saharon
30
1990
Strongly dependent theories. Zbl 1371.03043
Shelah, Saharon
29
2014
Categoricity over P for first order T or categoricity for \(\phi\) \(\in {\mathcal L}_{\omega_ 1\omega}\) can stop at \(\aleph_ k\) while holding for \(\aleph_ 0,\dots ,\aleph_{k-1}\). Zbl 0723.03017
Shelah, Saharon; Hart, Bradd
29
1990
\(\Delta^ 1_ 2\)-sets of reals. Zbl 0668.03020
Ihoda, Jaime I.; Shelah, Saharon
29
1989
Generalized quantifiers and compact logic. Zbl 0322.02010
Shelah, Saharon
29
1975
The generalized continuum hypothesis revisited. Zbl 0955.03054
Shelah, Saharon
28
2000
Models with second order properties. II: Trees with no undefined branches. Zbl 0383.03019
Shelah, Saharon
28
1978
Ultrafilters with small generating sets. Zbl 0681.03033
Blass, Andreas; Shelah, Saharon
27
1989
Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\). Zbl 0324.02038
Shelah, Saharon
27
1975
Categoricity of an abstract elementary class in two successive cardinals. Zbl 0999.03030
Shelah, Saharon
26
2001
Categoricity of theories in \(L_{\kappa \omega}\), with \(\kappa\) a compact cardinal. Zbl 0704.03015
Shelah, Saharon; Makkai, Michael
25
1990
Souslin forcing. Zbl 0673.03039
Ihoda, Jaime I.; Shelah, Saharon
25
1988
A weak generalization of MA to higher cardinals. Zbl 0384.03032
Shelah, S.
25
1978
Non-forking frames in abstract elementary classes. Zbl 1315.03050
Jarden, Adi; Shelah, Saharon
24
2013
Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable. Zbl 0705.03028
Shelah, Saharon; Woodin, Hugh
24
1990
PFA implies all automorphisms are trivial. Zbl 0691.03031
Shelah, Saharon; Steprāns, Juris
24
1988
Expected computation time for Hamiltonian path problem. Zbl 0654.68083
Gurevich, Yuri; Shelah, Saharon
24
1987
Superstable fields and groups. Zbl 0475.03012
Cherlin, G.; Shelah, S.
24
1980
Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 06503635
Malliaris, M.; Shelah, S.
23
2016
On random models of finite power and monadic logic. Zbl 0579.03006
Kaufmann, Matt; Shelah, Saharon
23
1985
\(\Delta\)-logics and generalized quantifiers. Zbl 0346.02007
Makowsky, J. A.; Shelah, Saharon; Stavi, Jonathan
23
1976
The bounded proper forcing axiom. Zbl 0819.03042
Goldstern, Martin; Shelah, Saharon
22
1995
Nonexistence of universal orders in many cardinals. Zbl 0790.03036
Kojman, Menachem; Shelah, Saharon
22
1992
Forcings with ideals and simple forcing notions. Zbl 0686.03027
Gitik, Moti; Shelah, Saharon
22
1989
Classification of first order theories which have a structure theorem. Zbl 0578.03016
Shelah, Saharon
22
1985
Independence results. Zbl 0451.03017
Shelah, Saharon
22
1980
The lazy model-theoretician’s guide to stability. Zbl 0359.02052
Shelah, Saharon
22
1975
Two cardinal invariants of the continuum \(({\mathfrak d} <{\mathfrak a})\) and FS linearly ordered iterated forcing. Zbl 1106.03044
Shelah, Saharon
21
2004
Randomness and semigenericity. Zbl 0952.03029
Baldwin, John T.; Shelah, Saharon
21
1997
Sacks forcing, Laver forcing, and Martin’s axiom. Zbl 0755.03026
Judah, Haim; Miller, Arnold W.; Shelah, Saharon
21
1992
Chang’s conjecture for \(\aleph_\omega\). Zbl 0696.03023
Levinski, Jean-Pierre; Magidor, Menachem; Shelah, Saharon
21
1990
Near coherence of filters. III: A simplified consistency proof. Zbl 0702.03030
Blass, Andreas; Shelah, Saharon
21
1989
Can the fundamental (homotopy) group of a space be the rationals? Zbl 0661.55012
Shelah, Saharon
21
1988
Incompactness in regular cardinals. Zbl 0617.03025
Shelah, Saharon
21
1985
Second-order quantifiers and the complexity of theories. Zbl 0596.03033
Baldwin, J. T.; Shelah, S.
21
1985
The spectrum problem. I: \(\aleph_{\epsilon}\)-saturated models, the main gap. Zbl 0532.03013
Shelah, Saharon
21
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
21
1981
Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012
Shelah, Saharon
20
2016
On \(\vartriangleleft^{*}\)-maximality. Zbl 1040.03029
Džamonja, Mirna; Shelah, Saharon
20
2004
Cotorsion theories and splitters. Zbl 0962.20039
Göbel, Rüdiger; Shelah, Saharon
20
2000
Strong splitting in stable homogeneous models. Zbl 0961.03028
Hyttinen, Tapani; Shelah, Saharon
20
2000
Cardinal invariants above the continuum. Zbl 0835.03013
Cummings, James; Shelah, Saharon
20
1995
Uncountable universal locally finite groups. Zbl 0363.20032
Macintyre, Angus J.; Shelah, Saharon
20
1976
Universal graphs with forbidden subgraphs and algebraic closure. Zbl 0928.03049
Cherlin, Gregory; Shelah, Saharon; Shi, Niandong
19
1999
Further cardinal arithmetic. Zbl 0864.03032
Shelah, Saharon
19
1996
Jonsson algebras in successor cardinals. Zbl 0384.03016
Shelah, S.
19
1978
The number of non-isomorphic models of an unstable first-order theory. Zbl 0226.02045
Shelah, Saharon
19
1971
Classification theory for abstract elementary classes. Vol 2. Zbl 1225.03037
Shelah, Saharon
18
2009
On strong measure zero subsets of \({}^\kappa 2\). Zbl 0994.03038
Halko, Aapo; Shelah, Saharon
18
2001
On what I do not understand (and have something to say), model theory. Zbl 0965.03042
Shelah, Saharon
18
2000
Uncountable constructions for B. A., e. c. groups and Banach spaces. Zbl 0589.03012
Shelah, Saharon
18
1985
Isomorphism types of Aronszajn trees. Zbl 0566.03032
Abraham, U.; Shelah, S.
18
1985
S-forcing. I: a ”black-box” theorem for morasses, with applications to super-Souslin trees. Zbl 0513.03023
Shelah, S.; Stanley, L.
18
1982
On the number of minimal models. Zbl 0389.03014
Shelah, Saharon
18
1978
Decomposing uncountable squares to countably many chains. Zbl 0366.04009
Shelah, Saharon
18
1976
Uniqueness and characterization of prime models over sets for totally transcendental first-order theories. Zbl 0247.02047
Shelah, Saharon
18
1972
Countably compact groups without non-trivial convergent sequences. Zbl 07291898
Hrušák, M.; van Mill, J.; Ramos-García, U. A.; Shelah, S.
2
2021
Cardinal characteristics at \(\aleph_\omega\). Zbl 07200100
Garti, Shimon; Gitik, M.; Shelah, S.
2
2020
Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. Zbl 1439.05085
Garti, Shimon; Magidor, Menachem; Shelah, Saharon
1
2020
A small ultrafilter number at smaller cardinals. Zbl 07184235
Raghavan, Dilip; Shelah, Saharon
1
2020
Local character of Kim-independence. Zbl 07020582
Kaplan, Itay; Ramsey, Nicholas; Shelah, Saharon
6
2019
Cichoń’s maximum. Zbl 07097497
Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
4
2019
Another ordering of the ten cardinal characteristics in Cichoń’s diagram. Zbl 07088826
Kellner, Jakob; Shelah, Saharon; Tănasie, Anda R.
3
2019
Reconstructing structures with the strong small index property up to bi-definability. Zbl 07087867
Paolini, Gianluca; Shelah, Saharon
2
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
2
2019
Compactness in singular cardinals revisited. Zbl 1449.03015
Shelah, Saharon
1
2019
Generalizing random real forcing for inaccessible cardinals. Zbl 07143822
Cohen, Shani; Shelah, Saharon
1
2019
Universal theories and compactly expandable models. Zbl 1441.03024
Casanovas, Enrique; Shelah, Saharon
1
2019
On the non-existence of mad families. Zbl 07043048
Horowitz, Haim; Shelah, Saharon
1
2019
A new look at interpretability and saturation. Zbl 07036294
Malliaris, M.; Shelah, S.
1
2019
Saturated null and meager ideal. Zbl 07031955
Kumar, Ashutosh; Shelah, Saharon
1
2019
Keisler’s order has infinitely many classes. Zbl 1402.03045
Malliaris, Maryanthe; Shelah, Saharon
9
2018
On the spectrum of characters of ultrafilters. Zbl 1455.03059
Garti, Shimon; Magidor, Menachem; Shelah, Saharon
3
2018
Random reals and polarized colorings. Zbl 1413.03008
Garti, Shimon; Shelah, Saharon
3
2018
Abstract elementary classes stable in \(\aleph_{0}\). Zbl 06880842
Shelah, Saharon; Vasey, Sebastien
3
2018
The automorphism group of Hall’s universal group. Zbl 1427.20043
Paolini, Gianluca; Shelah, Saharon
3
2018
On the cofinality of the splitting number. Zbl 1436.03260
Dow, Alan; Shelah, Saharon
3
2018
The abelianization of inverse limits of groups. Zbl 1443.20082
Barnea, Ilan; Shelah, Saharon
1
2018
Set mappings on 4-tuples. Zbl 1455.03060
Mohsenipour, Shahram; Shelah, Saharon
1
2018
The spectrum of ultraproducts of finite cardinals for an ultrafilter. Zbl 1424.03015
Shelah, S.
1
2018
Small-large subgroups of the reals. Zbl 1441.03039
Rosłanowski, Andrzej; Shelah, Saharon
1
2018
Creature forcing and five cardinal characteristics in Cichoń’s diagram. Zbl 1404.03040
Fischer, Arthur; Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
7
2017
Two inequalities between cardinal invariants. Zbl 1420.03127
Raghavan, Dilip; Shelah, Saharon
7
2017
Definable groups for dependent and 2-dependent theories. Zbl 1424.03016
Shelah, Saharon
5
2017
The nonstationary ideal on \(P_\kappa (\lambda )\) for \(\lambda \) singular. Zbl 1417.03250
Matet, Pierre; Shelah, Saharon
5
2017
Model-theoretic applications of cofinality spectrum problems. Zbl 1423.03177
Malliaris, Maryanthe; Shelah, Saharon
5
2017
A parallel to the null ideal for inaccessible \(\lambda\). I. Zbl 1417.03266
Shelah, Saharon
5
2017
On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility. Zbl 1423.03195
Raghavan, Dilip; Shelah, Saharon
5
2017
Decidability and classification of the theory of integers with primes. Zbl 1422.03071
Kaplan, Itay; Shelah, Saharon
4
2017
Group metrics for graph products of cyclic groups. Zbl 1383.54036
Paolini, Gianluca; Shelah, Saharon
3
2017
A framework for forcing constructions at successors of singular cardinals. Zbl 1423.03185
Cummings, James; Džamonja, Mirna; Magidor, Menachem; Morgan, Charles; Shelah, Saharon
3
2017
Universal structures. Zbl 1417.03231
Shelah, Saharon
3
2017
A transversal of full outer measure. Zbl 1423.03187
Kumar, Ashutosh; Shelah, Saharon
2
2017
Open problems on ultrafilters and some connections to the continuum. Zbl 1402.03038
Malliaris, M.; Shelah, S.
2
2017
On the verge of inconsistency: Magidor cardinals and Magidor filters. Zbl 1412.03020
Garti, Shimon; Hayut, Yair; Shelah, Saharon
2
2017
Exact saturation in simple and NIP theories. Zbl 1420.03066
Kaplan, Itay; Shelah, Saharon; Simon, Pierre
1
2017
Closed sets which consistently have few translations covering the line. Zbl 1420.03126
Bartoszynski, Tomek; Larson, Paul; Shelah, Saharon
1
2017
Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 06503635
Malliaris, M.; Shelah, S.
23
2016
Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012
Shelah, Saharon
20
2016
Existence of optimal ultrafilters and the fundamental complexity of simple theories. Zbl 1431.03048
Malliaris, M.; Shelah, S.
11
2016
On non-forking spectra. Zbl 06669860
Chernikov, Artem; Kaplan, Itay; Shelah, Saharon
7
2016
Open and solved problems concerning polarized partition relations. Zbl 06602778
Garti, Shimon; Shelah, Saharon
5
2016
The left side of Cichoń’s diagram. Zbl 1431.03064
Goldstern, Martin; Mejía, Diego Alejandro; Shelah, Saharon
5
2016
Rigidity of continuous quotients. Zbl 06527391
Farah, Ilijas; Shelah, Saharon
5
2016
Universal graphs with a forbidden subgraph: block path solidity. Zbl 1389.05112
Cherlin, Gregory; Shelah, Saharon
4
2016
On the number of Dedekind cuts and two-cardinal models of dependent theories. Zbl 1430.03053
Chernikov, Artem; Shelah, Saharon
3
2016
Cofinality of normal ideals on \([\lambda]^{<\kappa}\). I. Zbl 1408.03032
Matet, Pierre; Péan, Cédric; Shelah, Saharon
3
2016
On cuts in ultraproducts of linear orders. I. Zbl 1380.03036
Golshani, Mohammad; Shelah, Saharon
3
2016
Stable theories and representation over sets. Zbl 1412.03015
Shelah, Saharon; Cohen, Moran
3
2016
Constructing many atomic models in \(\aleph_1\). Zbl 1383.03045
Baldwin, John T.; Laskowski, Michael C.; Shelah, Saharon
2
2016
Cofinality spectrum problems: the axiomatic approach. Zbl 06642735
Malliaris, M.; Shelah, S.
2
2016
The generic pair conjecture for dependent finite diagrams. Zbl 1377.03023
Kaplan, Itay; Lavi, Noa; Shelah, Saharon
2
2016
Forcing a countable structure to belong to the ground model. Zbl 1372.03059
Kaplan, 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 1358.03076
Shelah, Saharon; Wohofsky, Wolfgang
1
2016
Lower bounds on coloring numbers from hardness hypotheses in pcf theory. Zbl 06640957
Shelah, Saharon
1
2016
Beginning of stability theory for Polish spaces. Zbl 1366.03214
Shelah, Saharon
1
2016
When automorphisms of \(\mathcal P(\kappa)/[\kappa]^{<\aleph_0}\) are trivial off a small set. Zbl 1432.03095
Shelah, Saharon; Steprāns, Juris
1
2016
No universal group in a cardinal. Zbl 1402.03048
Shelah, Saharon
1
2016
\(\mathrm{ZF}+\mathrm{DC}+\mathrm{AX}_4\). Zbl 1403.03078
Shelah, Saharon
1
2016
Constructing regular ultrafilters from a model-theoretic point of view. Zbl 1387.03029
Malliaris, M.; Shelah, S.
12
2015
Dependent theories and the generic pair conjecture. Zbl 1338.03065
Shelah, Saharon
6
2015
Almost Galois \(\omega\)-stable classes. Zbl 1382.03059
Baldwin, John T.; Larson, Paul B.; Shelah, Saharon
3
2015
Mad spectra. Zbl 1367.03093
Shelah, Saharon; Spinas, Otmar
2
2015
Non-trivial automorphisms of \({\mathcal {P}}({\mathbb {N}})/[{\mathbb {N}}]^{<\aleph _0}\) from variants of small dominating number. Zbl 1352.03055
Shelah, Saharon; Steprāns, Juris
2
2015
Borel completeness of some \(\aleph_{0}\)-stable theories. Zbl 1373.03056
Laskowski, Michael C.; Shelah, Saharon
2
2015
Saturating the random graph with an independent family of small range. Zbl 1429.03135
Malliaris, Maryanthe; Shelah, Saharon
1
2015
Models of PA: when two elements are necessarily order automorphic. Zbl 1367.03072
Shelah, Saharon
1
2015
Symmetrically complete ordered sets abelian groups and fields. Zbl 1345.06016
Kuhlmann, Katarzyna; Kuhlmann, Franz-Viktor; Shelah, Saharon
1
2015
\(\mathbf P\)-NDOP and \(\mathbf P\)-decompositions of \(\aleph_{\epsilon} \)-saturated models of superstable theories. Zbl 1372.03067
Shelah, Saharon; Laskowski, Michael C.
1
2015
Strongly dependent theories. Zbl 1371.03043
Shelah, Saharon
29
2014
Regularity lemmas for stable graphs. Zbl 1283.05234
Malliaris, M.; Shelah, S.
13
2014
Partition calculus and cardinal invariants. Zbl 1322.03033
Garti, Shimon; Shelah, Saharon
12
2014
Model-theoretic properties of ultrafilters built by independent families of functions. Zbl 1338.03055
Malliaris, M.; Shelah, S.
6
2014
Trivial automorphisms. Zbl 1341.03070
Farah, Ilijas; Shelah, Saharon
5
2014
Prescribing endomorphism algebras of \(\aleph_n\)-free modules. Zbl 1312.16024
Göbel, Rüdiger; Herden, Daniel; Shelah, Saharon
4
2014
Examples in dependent theories. Zbl 1337.03044
Kaplan, Itay; Shelah, Saharon
4
2014
Borel conjecture and dual Borel conjecture. Zbl 1298.03106
Goldstern, Martin; Kellner, Jakob; Shelah, Saharon; Wohofsky, Wolfgang
4
2014
A dependent theory with few indiscernibles. Zbl 1341.03047
Kaplan, Itay; Shelah, Saharon
3
2014
Ordered black boxes: existence. Zbl 1314.03042
Shelah, Saharon
2
2014
Dependent \(T\) and existence of limit models. Zbl 1335.03033
Shelah, Saharon
2
2014
A Hanf number for saturation and omission: the superstable case. Zbl 1355.03027
Baldwin, John T.; Shelah, Saharon
1
2014
Pseudo pcf. Zbl 1341.03059
Shelah, Saharon
1
2014
Around cofin. Zbl 1338.03094
Rosłanowski, Andrzej; Shelah, Saharon
1
2014
Many countable support iterations of proper forcings preserve Souslin trees. Zbl 1323.03060
Mildenberger, Heike; Shelah, Saharon
1
2014
Non-forking frames in abstract elementary classes. Zbl 1315.03050
Jarden, Adi; Shelah, Saharon
24
2013
An Efimov space from Martin’s axiom. Zbl 1284.54008
Dow, Alan; Shelah, Saharon
15
2013
A dividing line within simple unstable theories. Zbl 1323.03042
Malliaris, M.; Shelah, Saharon
12
2013
General topology meets model theory, on \(\mathfrak p\) and \(\mathfrak t\). Zbl 1301.03041
Malliaris, Maryanthe; Shelah, Saharon
11
2013
Chain conditions in dependent groups. Zbl 1320.03069
Kaplan, Itay; Shelah, Saharon
7
2013
On incompactness for chromatic number of graphs. Zbl 1299.03052
Shelah, S.
6
2013
Pcf and abelian groups. Zbl 1316.03023
Shelah, Saharon
5
2013
More about \(\lambda \)-support iterations of \((<\lambda)\)-complete forcing notions. Zbl 1296.03025
Rosłanowski, Andrzej; Shelah, Saharon
3
2013
\(\aleph_n\)-free modules over complete discrete valuation domains with almost trivial dual. Zbl 1272.13009
Göbel, Rüdiger; Shelah, Saharon; Strüngmann, Lutz
3
2013
Universality of the lattice of transformation monoids. Zbl 1286.06009
Pinsker, Michael; Shelah, Saharon
2
2013
Independent families in Boolean algebras with some separation properties. Zbl 1283.06018
Koszmider, Piotr; Shelah, Saharon
2
2013
Partial choice functions for families of finite sets. Zbl 1271.03069
Hall, Eric J.; Shelah, Saharon
2
2013
...and 799 more Documents
all top 5

Cited by 2,272 Authors

529 Shelah, Saharon
46 Friedman, Sy-David
46 Göbel, Rüdiger
46 Pillay, Anand
44 Baldwin, John T.
44 Gitik, Moti
43 Apter, Arthur W.
40 Hyttinen, Tapani
36 Dow, Alan S.
33 Komjáth, Péter
33 Todorcevic, Stevo B.
29 Magidor, Menachem
28 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.
23 Blass, Andreas Raphael
23 Matet, Pierre
23 Steprāns, Juris
23 Zdoms’kyĭ, Lyubomyr Sergiĭovych
22 Džamonja, Mirna
22 Garti, Shimon
22 Soukup, Lajos
21 Asperó, David
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 Dugas, Manfred H.
17 Spinas, Otmar
17 Tsaban, Boaz
17 Velickovic, Boban
16 Chernikov, Artem
16 Hamkins, Joel David
16 Juhász, István
16 Moore, Justin Tatch
15 Bartoszynski, Tomek
15 Fischer, Vera
14 Eisworth, Todd
14 Golshani, Mohammad
14 Grossberg, Rami P.
14 Kellner, Jakob
14 Kim, Byunghan
14 Lücke, Philipp Moritz
14 Raghavan, Dilip
14 Simon, Pierre
14 Sinapova, Dima
14 Strüngmann, Lutz H.
13 Fuchs, László
13 Lambie-Hanson, Chris
13 Schindler, Ralf-Dieter
13 Schmerl, James H.
13 Väänänen, Jouko Antero
12 Anstee, Richard P.
12 Boney, Will
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 2,172 more Authors
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Cited in 269 Serials

510 The Journal of Symbolic Logic
454 Annals of Pure and Applied Logic
312 Israel Journal of Mathematics
268 Topology and its Applications
234 Archive for Mathematical Logic
194 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
44 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
19 Journal of Mathematical Analysis and Applications
19 Mathematische Zeitschrift
19 Siberian Mathematical Journal
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
10 Mathematical Notes
10 Czechoslovak Mathematical Journal
10 Discrete & Computational Geometry
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 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 Semigroup Forum
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
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 European Journal of Mathematics
5 Georgian Mathematical Journal
5 Theory of Computing Systems
5 Sarajevo Journal of Mathematics
5 Forum of Mathematics, Sigma
4 Compositio Mathematica
4 Inventiones Mathematicae
4 Journal of Philosophical Logic
4 Manuscripta Mathematica
4 Mathematica Slovaca
4 Memoirs of the American Mathematical Society
4 Quaestiones Mathematicae
4 Advances in Applied Mathematics
4 Computational Complexity
4 Journal of Applied Non-Classical Logics
4 Topology Proceedings
4 Combinatorics, Probability and Computing
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
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 The Mathematical Intelligencer
3 Commentationes Mathematicae Universitatis Carolinae
...and 169 more Serials
all top 5

Cited in 50 Fields

2,971 Mathematical logic and foundations (03-XX)
520 General topology (54-XX)
450 Combinatorics (05-XX)
434 Group theory and generalizations (20-XX)
255 Order, lattices, ordered algebraic structures (06-XX)
252 Computer science (68-XX)
126 Functional analysis (46-XX)
124 Associative rings and algebras (16-XX)
113 General algebraic systems (08-XX)
106 Measure and integration (28-XX)
97 Topological groups, Lie groups (22-XX)
92 Commutative algebra (13-XX)
82 Field theory and polynomials (12-XX)
68 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)
39 General and overarching topics; collections (00-XX)
38 Dynamical systems and ergodic theory (37-XX)
34 Real functions (26-XX)
34 Algebraic topology (55-XX)
32 Convex and discrete geometry (52-XX)
29 Number theory (11-XX)
28 Manifolds and cell complexes (57-XX)
18 Algebraic geometry (14-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
15 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 Global analysis, analysis on manifolds (58-XX)
4 \(K\)-theory (19-XX)
4 Sequences, series, summability (40-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 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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