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Author ID: shelah.saharon Recent zbMATH articles by "Shelah, Saharon"
Published as: Shelah, Saharon; Shelah, S.
Homepage: http://shelah.logic.at/
External Links: MacTutor · MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Awards: Wolf Prize (2001)
all top 5

Co-Authors

339 single-authored
35 Göbel, Rüdiger
35 Rosłanowski, Andrzej
27 Goldstern, Martin Robert
26 Mekler, Alan H.
23 Eklof, Paul C.
22 Gurevich, Yuri
20 Baldwin, John T.
19 Garti, Shimon
19 Steprāns, Juris
18 Judah, Haim I.
18 Mildenberger, Heike
17 Malliaris, Maryanthe Elizabeth
16 Bartoszynski, Tomek
15 Kellner, Jakob
14 Juhász, István
14 Kaplan, Itay
14 Komjáth, Péter
14 Magidor, Menachem
13 Džamonja, Mirna
13 Kojman, Menachem
13 Strüngmann, Lutz H.
12 Gitik, Moti
12 Stanley, Lee J.
11 Hyttinen, Tapani
11 Laskowski, Michael Chris
11 Soukup, Lajos
10 Abraham, Uri
10 Jech, Thomas J.
10 Larson, Paul B.
10 Paolini, Gianluca
10 Väänänen, Jouko Antero
9 Blass, Andreas Raphael
9 Spinas, Otmar
8 Dow, Alan S.
8 Fuchino, Sakaé
8 Kumar, Ashutosh
8 Thomas, Simon R.
7 Herden, Daniel
7 Jin, Renling
7 Soifer, Alexander
7 Tsaban, Boaz
6 Cherlin, Gregory L.
6 Grossberg, Rami P.
6 Harrington, Leo A.
6 Hodges, Wilfrid
6 Väisänen, Pauli
5 Cummings, James
5 Fuchs, László
5 Ihoda, Jaime I.
5 Kennedy, Juliette Cara
5 Lifsches, Shmuel
5 Mejía, Diego Alejandro
5 Zapletal, Jindřich
4 Brendle, Jörg
4 Coleman, Eoin
4 Devlin, Keith J.
4 Dugas, Manfred H.
4 Farah, Ilijas
4 Foreman, Matthew D.
4 Hajnal, András
4 Horowitz, Haim
4 Koppelberg, Sabine
4 Makowsky, Johann-Andreas
4 Matet, Pierre
4 Milner, Eric Charles
4 Raghavan, Dilip
4 Rubin, Matatyahu
3 Aharoni, Ron
3 Avraham, Uri
3 Baumgartner, James Earl
3 Ben-David, Shai
3 Ciesielski, Krzysztof Chris
3 Doron, Mor
3 Droste, Manfred
3 Eisworth, Todd
3 Erdős, Pál
3 Geschke, Stefan
3 Golshani, Mohammad
3 Halbeisen, Lorenz J.
3 Holland, Wilbur Charles jun.
3 Kaufmann, Matt
3 Kubiś, Wiesław
3 Kuhlmann, Franz-Viktor
3 Kuhlmann, Salma
3 Nash-Williams, Crispin St. John Alvah
3 Sági, Gábor
3 Spencer, Joel H.
3 Stavi, Jonathan
3 Szentmiklóssy, Zoltán
3 Usvyatsov, Alexander
3 Villaveces, Andrés
3 Woodin, W. Hugh
2 Apter, Arthur W.
2 Bonnet, Robert
2 Chernikov, Artem
2 Corson, Samuel M.
2 Dror Farjoun, Emmanuel
2 Fischer, Vera
2 Fremlin, David H.
2 Gilchrist, Martin Philip
...and 178 more Co-Authors
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Serials

157 Israel Journal of Mathematics
147 The Journal of Symbolic Logic
89 Annals of Pure and Applied Logic
71 Fundamenta Mathematicae
60 Archive for Mathematical Logic
56 Proceedings of the American Mathematical Society
40 Transactions of the American Mathematical Society
31 Notre Dame Journal of Formal Logic
22 Mathematical Logic Quarterly (MLQ)
18 Topology and its Applications
16 Acta Mathematica Hungarica
15 Algebra Universalis
13 Annals of Mathematical Logic
12 Advances in Mathematics
12 Journal of Algebra
12 Journal of the London Mathematical Society. Second Series
11 Mathematica Japonica
11 Journal of Applied Analysis
11 Journal of Mathematical Logic
10 Bulletin of the London Mathematical Society
10 Colloquium Mathematicum
7 Canadian Journal of Mathematics
7 Journal of Combinatorial Theory. Series A
7 Pacific Journal of Mathematics
7 Forum Mathematicum
6 Periodica Mathematica Hungarica
6 Journal of the American Mathematical Society
5 Communications in Algebra
5 Proceedings of the London Mathematical Society. Third Series
5 Real Analysis Exchange
5 Combinatorica
5 Annals of Mathematics. Second Series
5 Scientiae Mathematicae Japonicae
5 Sarajevo Journal of Mathematics
4 Discrete Mathematics
4 Commentationes Mathematicae Universitatis Carolinae
4 Journal of Pure and Applied Algebra
4 Mathematische Zeitschrift
4 Rendiconti del Seminario Matematico della Università di Padova
4 Random Structures & Algorithms
4 Bulletin of the American Mathematical Society. New Series
4 Journal of the European Mathematical Society (JEMS)
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Canadian Mathematical Bulletin
3 Illinois Journal of Mathematics
3 Journal of the Mathematical Society of Japan
3 Topology Proceedings
3 Geombinatorics
3 Annals of Combinatorics
3 Cubo
3 Tbilisi Mathematical Journal
2 Archiv für Mathematische Logik und Grundlagenforschung
2 Houston Journal of Mathematics
2 Rocky Mountain Journal of Mathematics
2 Information and Control
2 Journal of Combinatorial Theory. Series B
2 Journal of Graph Theory
2 Publications de l’Institut Mathématique. Nouvelle Série
2 Reports on Mathematical Logic
2 Results in Mathematics
2 Studia Scientiarum Mathematicarum Hungarica
2 Advances in Applied Mathematics
2 Order
2 The Bulletin of Symbolic Logic
2 Journal of Group Theory
2 RIMS Kokyuroku
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 Lecture Notes in Mathematics
2 Studies in Logic and the Foundations of Mathematics
2 Studies in Logic (London)
2 European Journal of Mathematics
1 Acta Mathematica
1 Algebra i Logika
1 American Journal of Mathematics
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
1 Archiv der Mathematik
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the Association for Computing Machinery
1 Journal für die Reine und Angewandte Mathematik
1 Logique et Analyse. Nouvelle Série
1 Mathematics of Operations Research
1 Mathematica Slovaca
1 Memoirs of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Computing
1 Theoretical Computer Science
1 Bulletin of the Greek Mathematical Society
1 European Journal of Combinatorics
1 Discrete & Computational Geometry
1 Internationale Mathematische Nachrichten
1 Journal of Logic and Computation
1 International Journal of Algebra and Computation
1 Proceedings of the National Academy of Sciences of the United States of America
1 Notices of the American Mathematical Society
1 Indagationes Mathematicae. New Series
1 Combinatorics, Probability and Computing
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Congressus Numerantium
...and 16 more Serials

Publications by Year

Citations contained in zbMATH Open

936 Publications have been cited 9,105 times in 4,308 Documents Cited by Year
Proper forcing. Zbl 0495.03035
Shelah, Saharon
222
1982
Proper and improper forcing. 2nd ed. Zbl 0889.03041
Shelah, Saharon
209
1998
A combinatorial problem; stability and order for models and theories in infinitary languages. Zbl 0239.02024
Shelah, Saharon
173
1972
Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028
Foreman, M.; Magidor, M.; Shelah, Saharon
165
1988
Cardinal arithmetic. Zbl 0848.03025
Shelah, Saharon
153
1994
Classification theory and the number of non-isomorphic models. Zbl 0388.03009
Shelah, S.
147
1978
Classification theory and the number of non-isomorphic models. 2nd rev. ed. Zbl 0713.03013
Shelah, Saharon
123
1990
Can you take Solovay’s inaccessible away? Zbl 0596.03055
Shelah, Saharon
114
1984
The monadic theory of order. Zbl 0345.02034
Shelah, Saharon
113
1975
Infinite Abelian groups, Whitehead problem and some constructions. Zbl 0318.02053
Shelah, Saharon
105
1974
A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals. Zbl 0369.02034
Shelah, Saharon
84
1975
A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\). Zbl 0403.03040
Devlin, Keith J.; Shelah, Saharon
83
1978
Simple unstable theories. Zbl 0489.03008
Shelah, Saharon
77
1980
There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed. Zbl 0634.03047
Blass, Andreas; Shelah, Saharon
72
1987
Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory. Zbl 0281.02052
Shelah, Saharon
71
1971
On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types. Zbl 0585.03019
Abraham, Uri; Rubin, Matatyahu; Shelah, Saharon
63
1985
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
62
1993
zero-one laws for sparse random graphs. Zbl 0647.05051
Shelah, Saharon; Spencer, Joel
59
1988
Dependent first order theories, continued. Zbl 1195.03040
Shelah, Saharon
58
2009
Every two elementarily equivalent models have isomorphic ultrapowers. Zbl 0224.02045
Shelah, Saharon
57
1971
Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\). Zbl 0552.03019
Shelah, Saharon
55
1983
Finite diagrams stable in power. Zbl 0204.31104
Shelah, S.
54
1970
Fixed-point extensions of first-order logic. Zbl 0621.03013
Gurevich, Yuri; Shelah, Saharon
51
1986
On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041
Gitik, Moti; Shelah, Saharon
50
1989
Categoricity for abstract classes with amalgamation. Zbl 0945.03049
Shelah, Saharon
48
1999
Classification theory for abstract elementary classes. Zbl 1225.03036
Shelah, Saharon
48
2009
Reflecting stationary sets and successors of singular cardinals. Zbl 0742.03017
Shelah, Saharon
47
1991
Toward classifying unstable theories. Zbl 0874.03043
Shelah, Saharon
44
1996
Primitive recursive bounds for van der Waerden numbers. Zbl 0649.05010
Shelah, Saharon
44
1988
Some exact equiconsistency results in set theory. Zbl 0579.03039
Harrington, Leo; Shelah, Saharon
43
1985
Remarks on superatomic Boolean algebras. Zbl 0643.03038
Baumgartner, James E.; Shelah, Saharon
42
1987
Forcing closed unbounded sets. Zbl 0568.03024
Abraham, Uri; Shelah, Saharon
42
1983
Diamonds. Zbl 1280.03047
Shelah, Saharon
41
2010
The tree property at successors of singular cardinals. Zbl 0874.03060
Magidor, Menachem; Shelah, Saharon
39
1996
Whitehead groups may not be free even assuming CH. II. Zbl 0467.03049
Shelah, Saharon
38
1980
Advances in cardinal arithmetic. Zbl 0844.03028
Shelah, Saharon
38
1993
When does almost free imply free? (For groups, transversals, etc.). Zbl 0819.20059
Magidor, Menachem; Shelah, Saharon
37
1994
Whitehead groups may be not free, even assuming CH. I. Zbl 0369.02035
Shelah, Saharon
36
1977
The undecidability of the recursively enumerable degrees. Zbl 0518.03016
Harrington, Leo; Shelah, Saharon
36
1982
A proof of Vaught’s conjecture for \(\omega\)-stable theories. Zbl 0584.03021
Shelah, S.; Harrington, L.; Makkai, M.
36
1984
Toward categoricity for classes with no maximal models. Zbl 0945.03048
Shelah, Saharon; Villaveces, Andrés
35
1999
Norms on possibilities. I: Forcing with trees and creatures. Zbl 0940.03059
Rosłanowski, Andrzej; Shelah, Saharon
34
1999
The generalized continuum hypothesis revisited. Zbl 0955.03054
Shelah, Saharon
33
2000
On the strong equality between supercompactness and strong compactness. Zbl 0864.03036
Apter, Arthur W.; Shelah, Saharon
33
1997
The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). Zbl 0718.03037
Judah, Haim; Shelah, Saharon
33
1990
Models with second order properties. II: Trees with no undefined branches. Zbl 0383.03019
Shelah, Saharon
32
1978
On successors of singular cardinals. Zbl 0449.03045
Shelah, Saharon
32
1979
Strongly dependent theories. Zbl 1371.03043
Shelah, Saharon
32
2014
Ultrafilters with small generating sets. Zbl 0681.03033
Blass, Andreas; Shelah, Saharon
31
1989
Generalized quantifiers and compact logic. Zbl 0322.02010
Shelah, Saharon
30
1975
Categoricity over P for first order T or categoricity for \(\phi\) \(\in {\mathcal L}_{\omega_ 1\omega}\) can stop at \(\aleph_ k\) while holding for \(\aleph_ 0,\dots ,\aleph_{k-1}\). Zbl 0723.03017
Shelah, Saharon; Hart, Bradd
30
1990
\(\Delta^ 1_ 2\)-sets of reals. Zbl 0668.03020
Ihoda, Jaime I.; Shelah, Saharon
30
1989
Non-forking frames in abstract elementary classes. Zbl 1315.03050
Jarden, Adi; Shelah, Saharon
30
2013
Categoricity of an abstract elementary class in two successive cardinals. Zbl 0999.03030
Shelah, Saharon
29
2001
Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 1477.03125
Malliaris, M.; Shelah, S.
29
2016
Expected computation time for Hamiltonian path problem. Zbl 0654.68083
Gurevich, Yuri; Shelah, Saharon
28
1987
A weak generalization of MA to higher cardinals. Zbl 0384.03032
Shelah, S.
27
1978
Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable. Zbl 0705.03028
Shelah, Saharon; Woodin, Hugh
27
1990
\(\Delta\)-logics and generalized quantifiers. Zbl 0346.02007
Makowsky, J. A.; Shelah, Saharon; Stavi, Jonathan
26
1976
Two cardinal invariants of the continuum \(({\mathfrak d} <{\mathfrak a})\) and FS linearly ordered iterated forcing. Zbl 1106.03044
Shelah, Saharon
26
2004
The bounded proper forcing axiom. Zbl 0819.03042
Goldstern, Martin; Shelah, Saharon
26
1995
Cardinal invariants above the continuum. Zbl 0835.03013
Cummings, James; Shelah, Saharon
26
1995
Regularity lemmas for stable graphs. Zbl 1283.05234
Malliaris, M.; Shelah, S.
26
2014
PFA implies all automorphisms are trivial. Zbl 0691.03031
Shelah, Saharon; Steprāns, Juris
26
1988
Categoricity of theories in \(L_{\kappa \omega}\), with \(\kappa\) a compact cardinal. Zbl 0704.03015
Shelah, Saharon; Makkai, Michael
26
1990
Universal graphs with forbidden subgraphs and algebraic closure. Zbl 0928.03049
Cherlin, Gregory; Shelah, Saharon; Shi, Niandong
25
1999
On \(\vartriangleleft^{*}\)-maximality. Zbl 1040.03029
Džamonja, Mirna; Shelah, Saharon
25
2004
Souslin forcing. Zbl 0673.03039
Ihoda, Jaime I.; Shelah, Saharon
25
1988
Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012
Shelah, Saharon
25
2016
On random models of finite power and monadic logic. Zbl 0579.03006
Kaufmann, Matt; Shelah, Saharon
25
1985
The lazy model-theoretician’s guide to stability. Zbl 0359.02052
Shelah, Saharon
24
1975
Independence results. Zbl 0451.03017
Shelah, Saharon
24
1980
Can the fundamental (homotopy) group of a space be the rationals? Zbl 0661.55012
Shelah, Saharon
24
1988
Nonexistence of universal orders in many cardinals. Zbl 0790.03036
Kojman, Menachem; Shelah, Saharon
24
1992
Sacks forcing, Laver forcing, and Martin’s axiom. Zbl 0755.03026
Judah, Haim; Miller, Arnold W.; Shelah, Saharon
24
1992
Second-order quantifiers and the complexity of theories. Zbl 0596.03033
Baldwin, J. T.; Shelah, S.
24
1985
Martin’s axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic. Zbl 0457.03048
Avraham, Uri; Shelah, Saharon
23
1981
Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\). Zbl 0324.02038
Shelah, Saharon
23
1975
Choiceless polynomial time. Zbl 0936.03037
Blass, Andreas; Gurevich, Yuri; Shelah, Saharon
23
1999
Forcings with ideals and simple forcing notions. Zbl 0686.03027
Gitik, Moti; Shelah, Saharon
23
1989
Chang’s conjecture for \(\aleph_\omega\). Zbl 0696.03023
Levinski, Jean-Pierre; Magidor, Menachem; Shelah, Saharon
23
1990
Near coherence of filters. III: A simplified consistency proof. Zbl 0702.03030
Blass, Andreas; Shelah, Saharon
23
1989
Classification theory for abstract elementary classes. Vol 2. Zbl 1225.03037
Shelah, Saharon
23
2009
Strong splitting in stable homogeneous models. Zbl 0961.03028
Hyttinen, Tapani; Shelah, Saharon
22
2000
Randomness and semigenericity. Zbl 0952.03029
Baldwin, John T.; Shelah, Saharon
22
1997
Further cardinal arithmetic. Zbl 0864.03032
Shelah, Saharon
22
1996
Was Sierpinski right? I. Zbl 0657.03028
Shelah, Saharon
22
1988
Uncountable universal locally finite groups. Zbl 0363.20032
Macintyre, Angus J.; Shelah, Saharon
21
1976
Incompactness in regular cardinals. Zbl 0617.03025
Shelah, Saharon
21
1985
Minimal bounded index subgroup for dependent theories. Zbl 1144.03026
Shelah, Saharon
21
2008
The spectrum problem. I: \(\aleph_{\epsilon}\)-saturated models, the main gap. Zbl 0532.03013
Shelah, Saharon
21
1982
Isomorphism types of Aronszajn trees. Zbl 0566.03032
Abraham, U.; Shelah, S.
21
1985
Classification of first order theories which have a structure theorem. Zbl 0578.03016
Shelah, Saharon
21
1985
On strong measure zero subsets of \({}^\kappa 2\). Zbl 0994.03038
Halko, Aapo; Shelah, Saharon
20
2001
Separability properties of almost-disjoint families of sets. Zbl 0246.05002
Erdős, Paul; Shelah, Saharon
20
1972
Ultrafilters on \(\omega\) – their ideals and their cardinal characteristics. Zbl 0927.03073
Brendle, Jörg; Shelah, Saharon
20
1999
Exponentiation in power series fields. Zbl 0888.12004
Kuhlmann, Franz-Viktor; Kuhlmann, Salma; Shelah, Saharon
20
1997
On what I do not understand (and have something to say), model theory. Zbl 0965.03042
Shelah, Saharon
20
2000
Cotorsion theories and splitters. Zbl 0962.20039
Göbel, Rüdiger; Shelah, Saharon
20
2000
Uniqueness and characterization of prime models over sets for totally transcendental first-order theories. Zbl 0247.02047
Shelah, Saharon
19
1972
Hanf numbers for extendibility and related phenomena. Zbl 07541619
Baldwin, John T.; Shelah, Saharon
1
2022
Countably compact groups without non-trivial convergent sequences. Zbl 1482.22002
Hrušák, M.; van Mill, J.; Ramos-García, U. A.; Shelah, S.
9
2021
Keisler’s order is not simple (and simple theories may not be either). Zbl 07415199
Malliaris, M.; Shelah, S.
2
2021
Controlling cardinal characteristics without adding reals. Zbl 07419668
Goldstern, Martin; Kellner, Jakob; Mejía, Diego A.; Shelah, Saharon
2
2021
On some variants of the club principle. Zbl 1479.03018
Kumar, Ashutosh; Shelah, Saharon
1
2021
Universal graphs and functions on \(\omega_1\). Zbl 1485.03205
Shelah, Saharon; Steprāns, Juris
1
2021
Ramsey theory for highly connected monochromatic subgraphs. Zbl 1474.03111
Bergfalk, J.; Hrušák, M.; Shelah, S.
1
2021
Double weakness. Zbl 1474.03123
Garti, S.; Shelah, S.
1
2021
Transcendence bases, well-orderings of the reals and the axiom of choice. Zbl 1498.03111
Horowitz, Haim; Shelah, Saharon
1
2021
The higher Cichoń diagram. Zbl 1498.03115
Baumhauer, Thomas; Goldstern, Martin; Shelah, Saharon
1
2021
Cardinal characteristics at \(\aleph_\omega\). Zbl 07200100
Garti, Shimon; Gitik, M.; Shelah, S.
5
2020
Quite free complicated abelian groups, pcf and black boxes. Zbl 1493.03007
Shelah, Saharon
2
2020
A small ultrafilter number at smaller cardinals. Zbl 1481.03055
Raghavan, Dilip; Shelah, Saharon
2
2020
Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. Zbl 1439.05085
Garti, Shimon; Magidor, Menachem; Shelah, Saharon
2
2020
An example of a new simple theory. Zbl 1458.03026
Malliaris, M.; Shelah, S.
1
2020
Superstable theories and representation. Zbl 1463.03008
Shelah, Saharon
1
2020
Automorphism groups of countable stable structures. Zbl 1496.03145
Paolini, Gianluca; Shelah, Saharon
1
2020
Strongly bounded groups of various cardinalities. Zbl 1497.20004
Corson, Samuel M.; Shelah, Saharon
1
2020
Cichoń’s maximum. Zbl 1493.03008
Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
11
2019
Local character of Kim-independence. Zbl 07020582
Kaplan, Itay; Ramsey, Nicholas; Shelah, Saharon
10
2019
Reconstructing structures with the strong small index property up to bi-definability. Zbl 1480.03015
Paolini, Gianluca; Shelah, Saharon
6
2019
Another ordering of the ten cardinal characteristics in Cichoń’s diagram. Zbl 1463.03015
Kellner, Jakob; Shelah, Saharon; Tănasie, Anda R.
6
2019
The last forcing standing with diamonds. Zbl 1480.03049
Rosłanowski, Andrzej; Shelah, Saharon
3
2019
A new look at interpretability and saturation. Zbl 1472.03030
Malliaris, M.; Shelah, S.
3
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
2
2019
The spectrum of independence. Zbl 1468.03059
Fischer, Vera; Shelah, Saharon
1
2019
Pseudo P-points and splitting number. Zbl 1468.03054
Dow, Alan; Shelah, Saharon
1
2019
The colouring existence theorem revisited. Zbl 1449.03014
Shelah, S.
1
2019
Polish topologies for graph products of groups. Zbl 07138355
Paolini, Gianluca; Shelah, Saharon
1
2019
Generalizing random real forcing for inaccessible cardinals. Zbl 07143822
Cohen, Shani; Shelah, Saharon
1
2019
Note on finitary Hindman numbers. Zbl 1449.05238
Mohsenipour, Shahram; Shelah, Saharon
1
2019
Universal theories and compactly expandable models. Zbl 1441.03024
Casanovas, Enrique; Shelah, Saharon
1
2019
Saturated null and meager ideal. Zbl 1477.03213
Kumar, Ashutosh; Shelah, Saharon
1
2019
On the non-existence of mad families. Zbl 1477.03211
Horowitz, Haim; Shelah, Saharon
1
2019
Borel sets without perfectly many overlapping translations. Zbl 07161694
Rosłanowski, Andrzej; Shelah, Saharon
1
2019
Ultrafilter extensions do not preserve elementary equivalence. Zbl 07197339
Saveliev, Denis I.; Shelah, Saharon
1
2019
Keisler’s order has infinitely many classes. Zbl 1402.03045
Malliaris, Maryanthe; Shelah, Saharon
12
2018
On the cofinality of the splitting number. Zbl 1436.03260
Dow, Alan; Shelah, Saharon
8
2018
The automorphism group of Hall’s universal group. Zbl 1427.20043
Paolini, Gianluca; Shelah, Saharon
5
2018
On the spectrum of characters of ultrafilters. Zbl 1455.03059
Garti, Shimon; Magidor, Menachem; Shelah, Saharon
4
2018
Abstract elementary classes stable in \(\aleph_{0}\). Zbl 1469.03099
Shelah, Saharon; Vasey, Sebastien
4
2018
The spectrum of ultraproducts of finite cardinals for an ultrafilter. Zbl 1424.03015
Shelah, S.
2
2018
There is no bound on sizes of indecomposable Banach spaces. Zbl 1396.46015
Koszmider, Piotr; Shelah, Saharon; Świȩtek, Michał
2
2018
Random reals and polarized colorings. Zbl 1413.03008
Garti, Shimon; Shelah, Saharon
2
2018
Small-large subgroups of the reals. Zbl 1441.03039
Rosłanowski, Andrzej; Shelah, Saharon
2
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
Asymmetric tie-points and almost clopen subsets of \(\mathbb{N}^*\). Zbl 1474.54083
Dow, Alan; Shelah, Saharon
1
2018
Clubs on quasi measurable cardinals. Zbl 07198300
Kumar, Ashutosh; 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
10
2017
Two inequalities between cardinal invariants. Zbl 1420.03127
Raghavan, Dilip; Shelah, Saharon
8
2017
Definable groups for dependent and 2-dependent theories. Zbl 1424.03016
Shelah, Saharon
6
2017
Model-theoretic applications of cofinality spectrum problems. Zbl 1423.03177
Malliaris, Maryanthe; Shelah, Saharon
6
2017
On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility. Zbl 1423.03195
Raghavan, Dilip; Shelah, Saharon
6
2017
A parallel to the null ideal for inaccessible \(\lambda\). I. Zbl 1417.03266
Shelah, Saharon
6
2017
Universal structures. Zbl 1417.03231
Shelah, Saharon
6
2017
The nonstationary ideal on \(P_\kappa (\lambda )\) for \(\lambda \) singular. Zbl 1417.03250
Matet, Pierre; Shelah, Saharon
5
2017
Decidability and classification of the theory of integers with primes. Zbl 1422.03071
Kaplan, Itay; Shelah, Saharon
5
2017
Group metrics for graph products of cyclic groups. Zbl 1383.54036
Paolini, Gianluca; Shelah, Saharon
4
2017
A framework for forcing constructions at successors of singular cardinals. Zbl 1423.03185
Cummings, James; Džamonja, Mirna; Magidor, Menachem; Morgan, Charles; Shelah, Saharon
4
2017
Exact saturation in simple and NIP theories. Zbl 1420.03066
Kaplan, Itay; Shelah, Saharon; Simon, Pierre
3
2017
Open problems on ultrafilters and some connections to the continuum. Zbl 1402.03038
Malliaris, M.; Shelah, S.
3
2017
A transversal of full outer measure. Zbl 1423.03187
Kumar, Ashutosh; Shelah, Saharon
2
2017
On the verge of inconsistency: Magidor cardinals and Magidor filters. Zbl 1412.03020
Garti, Shimon; Hayut, Yair; Shelah, Saharon
2
2017
Avoiding equal distances. Zbl 1420.03131
Kumar, Ashutosh; Shelah, Saharon
1
2017
No uncountable Polish group can be a right-angled Artin group. Zbl 1422.20001
Paolini, Gianluca; Shelah, Saharon
1
2017
Closed sets which consistently have few translations covering the line. Zbl 1420.03126
Bartoszynski, Tomek; Larson, Paul; Shelah, Saharon
1
2017
Existentially closed locally finite groups (Sh312). Zbl 1433.03090
Shelah, Saharon
1
2017
Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 1477.03125
Malliaris, M.; Shelah, S.
29
2016
Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012
Shelah, Saharon
25
2016
Existence of optimal ultrafilters and the fundamental complexity of simple theories. Zbl 1431.03048
Malliaris, M.; Shelah, S.
14
2016
Rigidity of continuous quotients. Zbl 06527391
Farah, Ilijas; Shelah, Saharon
10
2016
On non-forking spectra. Zbl 06669860
Chernikov, Artem; Kaplan, Itay; Shelah, Saharon
8
2016
The left side of Cichoń’s diagram. Zbl 1431.03064
Goldstern, Martin; Mejía, Diego Alejandro; Shelah, Saharon
7
2016
Universal graphs with a forbidden subgraph: block path solidity. Zbl 1389.05112
Cherlin, Gregory; Shelah, Saharon
6
2016
Open and solved problems concerning polarized partition relations. Zbl 06602778
Garti, Shimon; Shelah, Saharon
5
2016
Cofinality of normal ideals on \([\lambda]^{<\kappa}\). I. Zbl 1408.03032
Matet, Pierre; Péan, Cédric; Shelah, Saharon
4
2016
On the number of Dedekind cuts and two-cardinal models of dependent theories. Zbl 1430.03053
Chernikov, Artem; Shelah, Saharon
4
2016
Stable theories and representation over sets. Zbl 1412.03015
Shelah, Saharon; Cohen, Moran
4
2016
Constructing many atomic models in \(\aleph_1\). Zbl 1383.03045
Baldwin, John T.; Laskowski, Michael C.; Shelah, Saharon
3
2016
The generic pair conjecture for dependent finite diagrams. Zbl 1377.03023
Kaplan, Itay; Lavi, Noa; Shelah, Saharon
2
2016
Cofinality spectrum problems: the axiomatic approach. Zbl 1477.03176
Malliaris, M.; Shelah, S.
2
2016
On cuts in ultraproducts of linear orders. I. Zbl 1380.03036
Golshani, Mohammad; Shelah, Saharon
2
2016
No universal group in a cardinal. Zbl 1402.03048
Shelah, Saharon
2
2016
Forcing a countable structure to belong to the ground model. Zbl 1372.03059
Kaplan, Itay; Shelah, Saharon
1
2016
Beginning of stability theory for Polish spaces. Zbl 1366.03214
Shelah, Saharon
1
2016
Lower bounds on coloring numbers from hardness hypotheses in pcf theory. Zbl 06640957
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
\(\mathrm{ZF}+\mathrm{DC}+\mathrm{AX}_4\). Zbl 1403.03078
Shelah, Saharon
1
2016
Constructing regular ultrafilters from a model-theoretic point of view. Zbl 1387.03029
Malliaris, M.; Shelah, S.
15
2015
Dependent theories and the generic pair conjecture. Zbl 1338.03065
Shelah, Saharon
6
2015
Symmetrically complete ordered sets abelian groups and fields. Zbl 1345.06016
Kuhlmann, Katarzyna; Kuhlmann, Franz-Viktor; Shelah, Saharon
4
2015
Non-trivial automorphisms of \({\mathcal {P}}({\mathbb {N}})/[{\mathbb {N}}]^{<\aleph _0}\) from variants of small dominating number. Zbl 1352.03055
Shelah, Saharon; Steprāns, Juris
3
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
3
2015
Borel completeness of some \(\aleph_{0}\)-stable theories. Zbl 1373.03056
Laskowski, Michael C.; Shelah, Saharon
3
2015
Models of PA: when two elements are necessarily order automorphic. Zbl 1367.03072
Shelah, Saharon
2
2015
Saturating the random graph with an independent family of small range. Zbl 1429.03135
Malliaris, Maryanthe; Shelah, Saharon
2
2015
Positional strategies in long Ehrenfeucht-Fraïssé games. Zbl 1373.03099
Shelah, S.; Väänänen, J.; Veličković, B.
1
2015
...and 836 more Documents
all top 5

Cited by 2,448 Authors

562 Shelah, Saharon
48 Friedman, Sy-David
47 Pillay, Anand
46 Göbel, Rüdiger
45 Apter, Arthur W.
45 Baldwin, John T.
44 Gitik, Moti
40 Dow, Alan S.
40 Hyttinen, Tapani
35 Rinot, Assaf
34 Komjáth, Péter
34 Todorcevic, Stevo B.
31 Magidor, Menachem
28 Brendle, Jörg
28 Hrušák, Michael
28 Koszmider, Piotr B.
28 Vasey, Sebastien
27 Eklof, Paul C.
27 Steprāns, Juris
27 Trlifaj, Jan jun.
27 Zapletal, Jindřich
27 Zdoms’kyĭ, Lyubomyr Sergiĭovych
26 Cummings, James
26 Gurevich, Yuri
26 Larson, Paul B.
26 Matet, Pierre
25 Farah, Ilijas
25 Garti, Shimon
25 Krueger, John
24 Džamonja, Mirna
24 Laskowski, Michael Chris
24 Mekler, Alan H.
24 Soukup, Lajos
24 Zhukovskiĭ, Maksim Evgen’evich
23 Asperó, David
23 Blass, Andreas Raphael
23 Malliaris, Maryanthe Elizabeth
23 Mildenberger, Heike
22 Goldstern, Martin Robert
22 Kojman, Menachem
22 Rabinovich, Alexander
21 Kaplan, Itay
21 Nešetřil, Jaroslav
20 Rosłanowski, Andrzej
20 Tall, Franklin D.
19 Bagaria, Joan
19 Fischer, Vera
19 Tsaban, Boaz
18 Chernikov, Artem
18 Dugas, Manfred H.
18 Foreman, Matthew D.
18 Hrushovski, Ehud
18 Judah, Haim I.
18 Kellner, Jakob
18 Spinas, Otmar
18 Velickovic, Boban
17 Juhász, István
17 Lambie-Hanson, Chris
17 Rubin, Matatyahu
16 Eisworth, Todd
16 Golshani, Mohammad
16 Hamkins, Joel David
16 Kim, Byunghan
16 Moore, Justin Tatch
16 Schindler, Ralf-Dieter
16 Väänänen, Jouko Antero
15 Bartoszynski, Tomek
15 Grossberg, Rami P.
15 Guzmán González, Osvaldo
15 Lücke, Philipp Moritz
15 Raghavan, Dilip
15 Simon, Pierre
15 Sinapova, Dima
14 Anstee, Richard P.
14 Boney, Will
14 Cox, Sean D.
14 Hayut, Yair
14 Kuhlmann, Salma
14 Kurilić, Miloš S.
14 Strüngmann, Lutz H.
13 Conant, Gabriel
13 Droste, Manfred
13 Enayat, Ali
13 Fuchs, László
13 Mejía, Diego Alejandro
13 Schmerl, James H.
13 Usuba, Toshimichi
12 Dobrinen, Natasha L.
12 Geschke, Stefan
12 Newelski, Ludomir
12 Soukup, Dániel Tamás
12 Unger, Spencer T.
12 van Mill, Jan
11 Fuchino, Sakaé
11 Hart, Bradd T.
11 Jin, Renling
11 Nyikos, Peter J.
11 Shore, Richard Arnold
11 Thomas, Simon R.
10 Banakh, Taras Onufrievich
...and 2,348 more Authors
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Cited in 300 Serials

547 The Journal of Symbolic Logic
471 Annals of Pure and Applied Logic
327 Israel Journal of Mathematics
279 Topology and its Applications
253 Archive for Mathematical Logic
213 Proceedings of the American Mathematical Society
181 Transactions of the American Mathematical Society
84 The Bulletin of Symbolic Logic
80 Mathematical Logic Quarterly (MLQ)
67 Advances in Mathematics
67 Notre Dame Journal of Formal Logic
62 Journal of Algebra
62 Journal of Mathematical Logic
61 Fundamenta Mathematicae
60 Discrete Mathematics
57 Algebra Universalis
52 Theoretical Computer Science
42 Algebra and Logic
39 Acta Mathematica Hungarica
32 Journal of Pure and Applied Algebra
29 Information and Computation
28 European Journal of Combinatorics
27 Journal of Combinatorial Theory. Series A
27 Order
24 Communications in Algebra
24 Journal of Computer and System Sciences
22 Journal of Combinatorial Theory. Series B
20 Rendiconti del Seminario Matematico della Università di Padova
20 Siberian Mathematical Journal
19 Discrete Applied Mathematics
19 Mathematische Zeitschrift
19 Journal of the American Mathematical Society
19 Journal of Mathematical Sciences (New York)
18 Journal of Mathematical Analysis and Applications
18 The Electronic Journal of Combinatorics
15 Periodica Mathematica Hungarica
14 Combinatorica
14 SIAM Journal on Discrete Mathematics
13 Archiv für Mathematische Logik und Grundlagenforschung
13 Rocky Mountain Journal of Mathematics
13 Discrete & Computational Geometry
13 Forum Mathematicum
12 Information Processing Letters
12 Studia Logica
12 International Journal of Algebra and Computation
12 Filomat
12 Logical Methods in Computer Science
11 Journal of Functional Analysis
11 Graphs and Combinatorics
11 Journal of the European Mathematical Society (JEMS)
10 Mathematical Notes
10 Czechoslovak Mathematical Journal
10 Monatshefte für Mathematik
10 Journal of Applied Analysis
9 Archiv der Mathematik
9 Semigroup Forum
9 Random Structures & Algorithms
9 Annals of Mathematics and Artificial Intelligence
9 Journal of Group Theory
9 Central European Journal of Mathematics
9 European Journal of Mathematics
8 Bulletin of the Australian Mathematical Society
8 Journal of the Mathematical Society of Japan
8 Journal of Soviet Mathematics
8 Synthese
8 Bulletin of the American Mathematical Society. New Series
8 Topology Proceedings
8 Doklady Mathematics
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Acta Mathematica
7 Mathematische Annalen
7 Memoirs of the American Mathematical Society
7 Results in Mathematics
7 Bulletin of the Polish Academy of Sciences, Mathematics
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Problems of Information Transmission
6 Bulletin of the London Mathematical Society
6 Georgian Mathematical Journal
6 Selecta Mathematica. New Series
6 Matematicheskie Trudy
6 Journal of the Institute of Mathematics of Jussieu
6 Forum of Mathematics, Sigma
5 Computational Complexity
5 Journal of Applied Non-Classical Logics
5 Combinatorics, Probability and Computing
5 Theory of Computing Systems
5 Journal of Algebra and its Applications
5 Sarajevo Journal of Mathematics
4 Colloquium Mathematicum
4 Compositio Mathematica
4 Illinois Journal of Mathematics
4 Inventiones Mathematicae
4 Journal of Philosophical Logic
4 Manuscripta Mathematica
4 Mathematica Slovaca
4 Quaestiones Mathematicae
4 SIAM Journal on Computing
4 Advances in Applied Mathematics
4 Lobachevskii Journal of Mathematics
4 Algebraic & Geometric Topology
...and 200 more Serials
all top 5

Cited in 52 Fields

3,236 Mathematical logic and foundations (03-XX)
572 General topology (54-XX)
507 Combinatorics (05-XX)
464 Group theory and generalizations (20-XX)
283 Order, lattices, ordered algebraic structures (06-XX)
281 Computer science (68-XX)
142 Functional analysis (46-XX)
132 Associative rings and algebras (16-XX)
120 General algebraic systems (08-XX)
119 Measure and integration (28-XX)
113 Topological groups, Lie groups (22-XX)
102 Commutative algebra (13-XX)
100 Field theory and polynomials (12-XX)
77 Category theory; homological algebra (18-XX)
62 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
51 Probability theory and stochastic processes (60-XX)
47 Dynamical systems and ergodic theory (37-XX)
43 History and biography (01-XX)
43 Convex and discrete geometry (52-XX)
41 General and overarching topics; collections (00-XX)
40 Real functions (26-XX)
40 Algebraic topology (55-XX)
38 Number theory (11-XX)
31 Manifolds and cell complexes (57-XX)
24 Algebraic geometry (14-XX)
23 Operations research, mathematical programming (90-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
20 Operator theory (47-XX)
12 Approximations and expansions (41-XX)
12 Geometry (51-XX)
11 Abstract harmonic analysis (43-XX)
10 Statistics (62-XX)
8 Functions of a complex variable (30-XX)
7 Sequences, series, summability (40-XX)
7 Biology and other natural sciences (92-XX)
7 Information and communication theory, circuits (94-XX)
5 Nonassociative rings and algebras (17-XX)
5 \(K\)-theory (19-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Ordinary differential equations (34-XX)
3 Differential geometry (53-XX)
3 Numerical analysis (65-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
1  (04-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)

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