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

Co-Authors

413 single-authored
38 Göbel, Rüdiger
38 Rosłanowski, Andrzej
30 Goldstern, Martin Robert
26 Mekler, Alan H.
24 Eklof, Paul C.
24 Gurevich, Yuri
23 Garti, Shimon
22 Baldwin, John T.
22 Steprāns, Juris
20 Malliaris, Maryanthe Elizabeth
19 Mildenberger, Heike
18 Judah, Haim I.
17 Bartoszynski, Tomek
17 Džamonja, Mirna
17 Golshani, Mohammad
17 Kellner, Jakob
16 Horowitz, Haim
16 Juhász, István
16 Kaplan, Itay
15 Komjáth, Péter
15 Paolini, Gianluca
15 Strüngmann, Lutz H.
14 Kojman, Menachem
14 Magidor, Menachem
13 Larson, Paul B.
13 Laskowski, Michael Chris
13 Stanley, Lee J.
12 Gitik, Moti
12 Soukup, Lajos
11 Dow, Alan S.
11 Hyttinen, Tapani
11 Väänänen, Jouko Antero
10 Abraham, Uri
10 Jech, Thomas J.
10 Spinas, Otmar
9 Blass, Andreas Raphael
8 Fuchino, Sakaé
8 Kumar, Ashutosh
8 Thomas, Simon R.
7 Grossberg, Rami P.
7 Herden, Daniel
7 Jin, Renling
7 Soifer, Alexander
7 Tsaban, Boaz
7 Väisänen, Pauli
6 Brendle, Jörg
6 Cherlin, Gregory L.
6 Halbeisen, Lorenz J.
6 Harrington, Leo A.
6 Hodges, Wilfrid
6 Lifsches, Shmuel
5 Asgharzadeh, Mohsen
5 Cummings, James
5 Fuchs, László
5 Hajnal, András
5 Ihoda, Jaime I.
5 Kennedy, Juliette Cara
5 Matet, Pierre
5 Mejía, Diego Alejandro
5 Raghavan, Dilip
5 Usvyatsov, Alexander
5 Zapletal, Jindřich
4 Coleman, Eoin
4 Devlin, Keith J.
4 Doron, Mor
4 Dugas, Manfred H.
4 Farah, Ilijas
4 Foreman, Matthew D.
4 Koppelberg, Sabine
4 Makowsky, Johann-Andreas
4 Milner, Eric Charles
4 Poór, Márk
4 Rubin, Matatyahu
3 Aharoni, Ron
3 Avraham, Uri
3 Baumgartner, James Earl
3 Ben-David, Shai
3 Ciesielski, Krzysztof Chris
3 Corson, Samuel M.
3 Droste, Manfred
3 Eisworth, Todd
3 Erdős, Pál
3 Geschke, Stefan
3 Greenberg, Noam
3 Holland, Wilbur Charles jun.
3 Hrušák, Michael
3 Kaufmann, Matt
3 Kubiś, Wiesław
3 Kuhlmann, Franz-Viktor
3 Kuhlmann, Salma
3 Lücke, Philipp Moritz
3 Mohsenipour, Shahram
3 Nash-Williams, Crispin St. John Alvah
3 Plati, Riccardo
3 Ramsey, Nicholas
3 Sageev, Gershon
3 Sági, Gábor
3 Spencer, Joel H.
3 Stavi, Jonathan
3 Szentmiklóssy, Zoltán
...and 187 more Co-Authors
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Serials

157 Israel Journal of Mathematics
148 The Journal of Symbolic Logic
94 Annals of Pure and Applied Logic
72 Fundamenta Mathematicae
62 Archive for Mathematical Logic
57 Proceedings of the American Mathematical Society
40 Transactions of the American Mathematical Society
31 Notre Dame Journal of Formal Logic
27 Mathematical Logic Quarterly (MLQ)
19 Topology and its Applications
17 Acta Mathematica Hungarica
16 Algebra Universalis
13 Annals of Mathematical Logic
13 Journal 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
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 Rendiconti del Seminario Matematico della Università di Padova
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
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 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Cubo
3 Tbilisi Mathematical Journal
3 Bollettino dell’Unione Matematica Italiana
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 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 Monatshefte für Mathematik
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
...and 17 more Serials

Publications by Year

Citations contained in zbMATH Open

970 Publications have been cited 10,030 times in 4,713 Documents Cited by Year
Proper forcing. Zbl 0495.03035
Shelah, Saharon
251
1982
Proper and improper forcing. 2nd ed. Zbl 0889.03041
Shelah, Saharon
242
1998
A combinatorial problem; stability and order for models and theories in infinitary languages. Zbl 0239.02024
Shelah, Saharon
189
1972
Cardinal arithmetic. Zbl 0848.03025
Shelah, Saharon
182
1994
Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028
Foreman, M.; Magidor, M.; Shelah, Saharon
176
1988
Classification theory and the number of non-isomorphic models. Zbl 0388.03009
Shelah, S.
165
1978
Classification theory and the number of non-isomorphic models. 2nd rev. ed. Zbl 0713.03013
Shelah, Saharon
150
1990
Can you take Solovay’s inaccessible away? Zbl 0596.03055
Shelah, Saharon
128
1984
The monadic theory of order. Zbl 0345.02034
Shelah, Saharon
125
1975
Infinite Abelian groups, Whitehead problem and some constructions. Zbl 0318.02053
Shelah, Saharon
110
1974
A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\). Zbl 0403.03040
Devlin, Keith J.; Shelah, Saharon
87
1978
A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals. Zbl 0369.02034
Shelah, Saharon
84
1975
Simple unstable theories. Zbl 0489.03008
Shelah, Saharon
82
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
77
1987
Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory. Zbl 0281.02052
Shelah, Saharon
74
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
69
1993
zero-one laws for sparse random graphs. Zbl 0647.05051
Shelah, Saharon; Spencer, Joel
65
1988
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
65
1985
Dependent first order theories, continued. Zbl 1195.03040
Shelah, Saharon
64
2009
Classification theory for abstract elementary classes. Zbl 1225.03036
Shelah, Saharon
61
2009
Every two elementarily equivalent models have isomorphic ultrapowers. Zbl 0224.02045
Shelah, Saharon
59
1971
Finite diagrams stable in power. Zbl 0204.31104
Shelah, S.
58
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
57
1983
Fixed-point extensions of first-order logic. Zbl 0621.03013
Gurevich, Yuri; Shelah, Saharon
56
1986
Reflecting stationary sets and successors of singular cardinals. Zbl 0742.03017
Shelah, Saharon
53
1991
Categoricity for abstract classes with amalgamation. Zbl 0945.03049
Shelah, Saharon
53
1999
On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041
Gitik, Moti; Shelah, Saharon
52
1989
Primitive recursive bounds for van der Waerden numbers. Zbl 0649.05010
Shelah, Saharon
50
1988
Diamonds. Zbl 1280.03047
Shelah, Saharon
47
2010
Some exact equiconsistency results in set theory. Zbl 0579.03039
Harrington, Leo; Shelah, Saharon
47
1985
Toward classifying unstable theories. Zbl 0874.03043
Shelah, Saharon
46
1996
Remarks on superatomic Boolean algebras. Zbl 0643.03038
Baumgartner, James E.; Shelah, Saharon
43
1987
The tree property at successors of singular cardinals. Zbl 0874.03060
Magidor, Menachem; Shelah, Saharon
43
1996
Advances in cardinal arithmetic. Zbl 0844.03028
Shelah, Saharon
42
1993
Forcing closed unbounded sets. Zbl 0568.03024
Abraham, Uri; Shelah, Saharon
42
1983
Strongly dependent theories. Zbl 1371.03043
Shelah, Saharon
42
2014
The generalized continuum hypothesis revisited. Zbl 0955.03054
Shelah, Saharon
41
2000
Norms on possibilities. I: Forcing with trees and creatures. Zbl 0940.03059
Rosłanowski, Andrzej; Shelah, Saharon
39
1999
On successors of singular cardinals. Zbl 0449.03045
Shelah, Saharon
39
1979
When does almost free imply free? (For groups, transversals, etc.). Zbl 0819.20059
Magidor, Menachem; Shelah, Saharon
39
1994
Toward categoricity for classes with no maximal models. Zbl 0945.03048
Shelah, Saharon; Villaveces, Andrés
38
1999
Whitehead groups may not be free even assuming CH. II. Zbl 0467.03049
Shelah, Saharon
38
1980
The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). Zbl 0718.03037
Judah, Haim; Shelah, Saharon
37
1990
On the strong equality between supercompactness and strong compactness. Zbl 0864.03036
Apter, Arthur W.; Shelah, Saharon
37
1997
Whitehead groups may be not free, even assuming CH. I. Zbl 0369.02035
Shelah, Saharon
37
1977
A proof of Vaught’s conjecture for \(\omega\)-stable theories. Zbl 0584.03021
Shelah, S.; Harrington, L.; Makkai, M.
37
1984
The undecidability of the recursively enumerable degrees. Zbl 0518.03016
Harrington, Leo; Shelah, Saharon
36
1982
Ultrafilters with small generating sets. Zbl 0681.03033
Blass, Andreas; Shelah, Saharon
36
1989
Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 1477.03125
Malliaris, M.; Shelah, S.
35
2016
Models with second order properties. II: Trees with no undefined branches. Zbl 0383.03019
Shelah, Saharon
33
1978
Regularity lemmas for stable graphs. Zbl 1283.05234
Malliaris, M.; Shelah, S.
33
2014
Generalized quantifiers and compact logic. Zbl 0322.02010
Shelah, Saharon
32
1975
A weak generalization of MA to higher cardinals. Zbl 0384.03032
Shelah, S.
32
1978
Expected computation time for Hamiltonian path problem. Zbl 0654.68083
Gurevich, Yuri; Shelah, Saharon
31
1987
On \(\vartriangleleft^{*}\)-maximality. Zbl 1040.03029
Džamonja, Mirna; Shelah, Saharon
30
2004
Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable. Zbl 0705.03028
Shelah, Saharon; Woodin, Hugh
30
1990
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
Categoricity of an abstract elementary class in two successive cardinals. Zbl 0999.03030
Shelah, Saharon
30
2001
Non-forking frames in abstract elementary classes. Zbl 1315.03050
Jarden, Adi; Shelah, Saharon
30
2013
Two cardinal invariants of the continuum \(({\mathfrak d} <{\mathfrak a})\) and FS linearly ordered iterated forcing. Zbl 1106.03044
Shelah, Saharon
30
2004
\(\Delta^ 1_ 2\)-sets of reals. Zbl 0668.03020
Ihoda, Jaime I.; Shelah, Saharon
29
1989
The bounded proper forcing axiom. Zbl 0819.03042
Goldstern, Martin; Shelah, Saharon
29
1995
Cardinal invariants above the continuum. Zbl 0835.03013
Cummings, James; Shelah, Saharon
29
1995
Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012
Shelah, Saharon
29
2016
Souslin forcing. Zbl 0673.03039
Ihoda, Jaime I.; Shelah, Saharon
28
1988
Categoricity of theories in \(L_{\kappa \omega}\), with \(\kappa\) a compact cardinal. Zbl 0704.03015
Shelah, Saharon; Makkai, Michael
28
1990
Further cardinal arithmetic. Zbl 0864.03032
Shelah, Saharon
27
1996
Universal graphs with forbidden subgraphs and algebraic closure. Zbl 0928.03049
Cherlin, Gregory; Shelah, Saharon; Shi, Niandong
27
1999
\(\Delta\)-logics and generalized quantifiers. Zbl 0346.02007
Makowsky, J. A.; Shelah, Saharon; Stavi, Jonathan
27
1976
The lazy model-theoretician’s guide to stability. Zbl 0359.02052
Shelah, Saharon
27
1975
Second-order quantifiers and the complexity of theories. Zbl 0596.03033
Baldwin, J. T.; Shelah, S.
26
1985
Sacks forcing, Laver forcing, and Martin’s axiom. Zbl 0755.03026
Judah, Haim; Miller, Arnold W.; Shelah, Saharon
25
1992
Choiceless polynomial time. Zbl 0936.03037
Blass, Andreas; Gurevich, Yuri; Shelah, Saharon
25
1999
Independence results. Zbl 0451.03017
Shelah, Saharon
25
1980
Can the fundamental (homotopy) group of a space be the rationals? Zbl 0661.55012
Shelah, Saharon
25
1988
Forcings with ideals and simple forcing notions. Zbl 0686.03027
Gitik, Moti; Shelah, Saharon
25
1989
PFA implies all automorphisms are trivial. Zbl 0691.03031
Shelah, Saharon; Steprāns, Juris
25
1988
Near coherence of filters. III: A simplified consistency proof. Zbl 0702.03030
Blass, Andreas; Shelah, Saharon
25
1989
Separability properties of almost-disjoint families of sets. Zbl 0246.05002
Erdős, Paul; Shelah, Saharon
25
1972
Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\). Zbl 0324.02038
Shelah, Saharon
25
1975
On random models of finite power and monadic logic. Zbl 0579.03006
Kaufmann, Matt; Shelah, Saharon
25
1985
Nonexistence of universal orders in many cardinals. Zbl 0790.03036
Kojman, Menachem; Shelah, Saharon
24
1992
Strong splitting in stable homogeneous models. Zbl 0961.03028
Hyttinen, Tapani; Shelah, Saharon
24
2000
Chang’s conjecture for \(\aleph_\omega\). Zbl 0696.03023
Levinski, Jean-Pierre; Magidor, Menachem; Shelah, Saharon
24
1990
Rabin’s uniformization problem. Zbl 0537.03007
Gurevich, Yuri; Shelah, Saharon
24
1983
Isomorphism types of Aronszajn trees. Zbl 0566.03032
Abraham, U.; 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
Classification theory for abstract elementary classes. Vol 2. Zbl 1225.03037
Shelah, Saharon
23
2009
Was Sierpinski right? I. Zbl 0657.03028
Shelah, Saharon
23
1988
Randomness and semigenericity. Zbl 0952.03029
Baldwin, John T.; Shelah, Saharon
23
1997
Exponentiation in power series fields. Zbl 0888.12004
Kuhlmann, Franz-Viktor; Kuhlmann, Salma; Shelah, Saharon
23
1997
Minimal bounded index subgroup for dependent theories. Zbl 1144.03026
Shelah, Saharon
23
2008
On strong measure zero subsets of \({}^\kappa 2\). Zbl 0994.03038
Halko, Aapo; Shelah, Saharon
22
2001
Uncountable universal locally finite groups. Zbl 0363.20032
Macintyre, Angus J.; Shelah, Saharon
22
1976
Examples of non-locality. Zbl 1162.03017
Baldwin, John T.; Shelah, Saharon
21
2008
The \(\aleph_2\)-Souslin hypothesis. Zbl 0495.03034
Laver, Richard; Shelah, Saharon
21
1981
The spectrum problem. I: \(\aleph_{\epsilon}\)-saturated models, the main gap. Zbl 0532.03013
Shelah, Saharon
21
1982
Incompactness in regular cardinals. Zbl 0617.03025
Shelah, Saharon
21
1985
Classification of first order theories which have a structure theorem. Zbl 0578.03016
Shelah, Saharon
21
1985
Cardinal arithmetic for skeptics. Zbl 0771.03017
Shelah, Saharon
20
1992
Different cofinalities of tree ideals. Zbl 07695418
Shelah, Saharon; Spinas, Otmar
2
2023
Large strongly anti-Urysohn spaces exist. Zbl 07628730
Juhász, István; Shelah, Saharon; Soukup, Lajos; Szentmiklóssy, Zoltán
1
2023
Universality: new criterion for non-existence. Zbl 07680410
Shelah, Saharon
1
2023
The Keisler-Shelah isomorphism theorem and the continuum hypothesis. Zbl 07687299
Golshani, Mohammad; Shelah, Saharon
1
2023
Halfway new cardinal characteristics. Zbl 07719413
Brendle, Jörg; Halbeisen, Lorenz J.; Klausner, Lukas Daniel; Lischka, Marc; Shelah, Saharon
1
2023
Corrected iteration. Zbl 07730767
Shelah, Saharon
1
2023
Hanf numbers for extendibility and related phenomena. Zbl 07541619
Baldwin, John T.; Shelah, Saharon
3
2022
\(\kappa\)-madness and definability. Zbl 1521.03149
Horowitz, Haim; Shelah, Saharon
2
2022
On the definability of mad families of vector spaces. Zbl 07483259
Horowitz, Haim; Shelah, Saharon
1
2022
The spectrum of independence. II. Zbl 07566293
Fischer, Vera; Shelah, Saharon
1
2022
Cichoń’s maximum without large cardinals. Zbl 07608245
Goldstern, Martin; Kellner, Jakob; Mejía, Diego A.; Shelah, Saharon
1
2022
Between reduced powers and ultrapowers. II. Zbl 07612785
Farah, Ilijas; Shelah, Saharon
1
2022
First-order aspects of Coxeter groups. Zbl 1511.20141
Mühlherr, Bernhard; Paolini, Gianluca; Shelah, Saharon
1
2022
A separation theorem for simple theories. Zbl 07462181
Malliaris, M.; Shelah, S.
1
2022
Countably compact groups without non-trivial convergent sequences. Zbl 1482.22002
Hrušák, M.; van Mill, J.; Ramos-García, U. A.; Shelah, S.
15
2021
Controlling cardinal characteristics without adding reals. Zbl 07419668
Goldstern, Martin; Kellner, Jakob; Mejía, Diego A.; Shelah, Saharon
4
2021
The higher Cichoń diagram. Zbl 1498.03115
Baumhauer, Thomas; Goldstern, Martin; Shelah, Saharon
3
2021
Keisler’s order is not simple (and simple theories may not be either). Zbl 07415199
Malliaris, M.; Shelah, S.
3
2021
Transcendence bases, well-orderings of the reals and the axiom of choice. Zbl 1498.03111
Horowitz, Haim; Shelah, Saharon
2
2021
Specializing trees and answer to a question of Williams. Zbl 1473.03030
Golshani, Mohammad; Shelah, Saharon
2
2021
Ramsey theory for highly connected monochromatic subgraphs. Zbl 1474.03111
Bergfalk, J.; Hrušák, M.; Shelah, S.
2
2021
Characterizing the spectra of cardinalities of branches of Kurepa trees. Zbl 07383177
Poór, Márk; Shelah, Saharon
1
2021
Colouring of successor of regular, again. Zbl 1499.03036
Shelah, S.
1
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
Double weakness. Zbl 1474.03123
Garti, S.; Shelah, S.
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
4
2020
Automorphism groups of countable stable structures. Zbl 1496.03145
Paolini, Gianluca; Shelah, Saharon
4
2020
An example of a new simple theory. Zbl 1458.03026
Malliaris, M.; Shelah, S.
3
2020
A version of \(\kappa\)-Miller forcing. Zbl 1485.03192
Mildenberger, Heike; 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
Strongly bounded groups of various cardinalities. Zbl 1497.20004
Corson, Samuel M.; Shelah, Saharon
1
2020
On \(\mathrm{CON}(\mathfrak{d}_\lambda > \mathrm{cov}_\lambda(\mathrm{meagre}))\). Zbl 1481.03057
Shelah, Saharon
1
2020
No universal in singular. Zbl 1484.03056
Shelah, Saharon
1
2020
On \(\mathfrak{d}_{\mu}\) for \(\mu\) singular. Zbl 1463.03014
Shelah, S.
1
2020
Superstable theories and representation. Zbl 1463.03008
Shelah, Saharon
1
2020
Turing invariant sets and the perfect set property. Zbl 1521.03147
Hamel, Clovis; Horowitz, Haim; Shelah, Saharon
1
2020
Cichoń’s maximum. Zbl 1493.03008
Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
15
2019
Local character of Kim-independence. Zbl 07020582
Kaplan, Itay; Ramsey, Nicholas; Shelah, Saharon
12
2019
Another ordering of the ten cardinal characteristics in Cichoń’s diagram. Zbl 1463.03015
Kellner, Jakob; Shelah, Saharon; Tănasie, Anda R.
8
2019
Reconstructing structures with the strong small index property up to bi-definability. Zbl 1480.03015
Paolini, Gianluca; Shelah, Saharon
8
2019
A new look at interpretability and saturation. Zbl 1472.03030
Malliaris, M.; Shelah, S.
5
2019
The spectrum of independence. Zbl 1468.03059
Fischer, Vera; Shelah, Saharon
4
2019
The last forcing standing with diamonds. Zbl 1480.03049
Rosłanowski, Andrzej; Shelah, Saharon
4
2019
Polish topologies for graph products of groups. Zbl 07138355
Paolini, Gianluca; Shelah, Saharon
3
2019
Generalizing random real forcing for inaccessible cardinals. Zbl 1508.03082
Cohen, Shani; Shelah, Saharon
3
2019
On the non-existence of mad families. Zbl 1477.03211
Horowitz, Haim; Shelah, Saharon
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
3
2019
The colouring existence theorem revisited. Zbl 1449.03014
Shelah, S.
2
2019
Compactness in singular cardinals revisited. Zbl 1449.03015
Shelah, Saharon
2
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
Minimal stable types in Banach spaces. Zbl 1454.03047
Shelah, Saharon; Usvyatsov, Alexander
1
2019
Pseudo P-points and splitting number. Zbl 1468.03054
Dow, Alan; Shelah, Saharon
1
2019
Saturated null and meager ideal. Zbl 1477.03213
Kumar, Ashutosh; Shelah, Saharon
1
2019
Ultrafilter extensions do not preserve elementary equivalence. Zbl 1521.03080
Saveliev, Denis I.; Shelah, Saharon
1
2019
Borel sets without perfectly many overlapping translations. Zbl 07161694
Rosłanowski, Andrzej; Shelah, Saharon
1
2019
Keisler’s order has infinitely many classes. Zbl 1402.03045
Malliaris, Maryanthe; Shelah, Saharon
14
2018
On the cofinality of the splitting number. Zbl 1436.03260
Dow, Alan; Shelah, Saharon
11
2018
The automorphism group of Hall’s universal group. Zbl 1427.20043
Paolini, Gianluca; Shelah, Saharon
6
2018
There is no bound on sizes of indecomposable Banach spaces. Zbl 1396.46015
Koszmider, Piotr; Shelah, Saharon; Świȩtek, Michał
5
2018
Abstract elementary classes stable in \(\aleph_{0}\). Zbl 1469.03099
Shelah, Saharon; Vasey, Sebastien
4
2018
On the spectrum of characters of ultrafilters. Zbl 1455.03059
Garti, Shimon; Magidor, Menachem; Shelah, Saharon
4
2018
Random reals and polarized colorings. Zbl 1413.03008
Garti, Shimon; Shelah, Saharon
2
2018
The spectrum of ultraproducts of finite cardinals for an ultrafilter. Zbl 1424.03015
Shelah, S.
2
2018
Small-large subgroups of the reals. Zbl 1441.03039
Rosłanowski, Andrzej; Shelah, Saharon
2
2018
Set mappings on 4-tuples. Zbl 1455.03060
Mohsenipour, Shahram; Shelah, Saharon
2
2018
The abelianization of inverse limits of groups. Zbl 1443.20082
Barnea, Ilan; Shelah, Saharon
1
2018
Polish topologies for graph products of cyclic groups. Zbl 1459.03079
Paolini, Gianluca; 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 1521.03181
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
14
2017
Two inequalities between cardinal invariants. Zbl 1420.03127
Raghavan, Dilip; Shelah, Saharon
10
2017
Definable groups for dependent and 2-dependent theories. Zbl 1424.03016
Shelah, Saharon
9
2017
A parallel to the null ideal for inaccessible \(\lambda\). I. Zbl 1417.03266
Shelah, Saharon
9
2017
On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility. Zbl 1423.03195
Raghavan, Dilip; Shelah, Saharon
8
2017
Universal structures. Zbl 1417.03231
Shelah, Saharon
8
2017
Model-theoretic applications of cofinality spectrum problems. Zbl 1423.03177
Malliaris, Maryanthe; Shelah, Saharon
7
2017
The nonstationary ideal on \(P_\kappa (\lambda )\) for \(\lambda \) singular. Zbl 1417.03250
Matet, Pierre; Shelah, Saharon
6
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
5
2017
A framework for forcing constructions at successors of singular cardinals. Zbl 1423.03185
Cummings, James; Džamonja, Mirna; Magidor, Menachem; Morgan, Charles; Shelah, Saharon
5
2017
Open problems on ultrafilters and some connections to the continuum. Zbl 1402.03038
Malliaris, M.; Shelah, S.
4
2017
Exact saturation in simple and NIP theories. Zbl 1420.03066
Kaplan, Itay; Shelah, Saharon; Simon, Pierre
4
2017
On the verge of inconsistency: Magidor cardinals and Magidor filters. Zbl 1412.03020
Garti, Shimon; Hayut, Yair; Shelah, Saharon
3
2017
A transversal of full outer measure. Zbl 1423.03187
Kumar, Ashutosh; Shelah, Saharon
2
2017
No uncountable Polish group can be a right-angled Artin group. Zbl 1422.20001
Paolini, Gianluca; Shelah, Saharon
2
2017
Avoiding equal distances. Zbl 1420.03131
Kumar, Ashutosh; 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
Consistently \(\mathcal P(\omega_{1})\) is the union of less than \(2^{\aleph _1}\) strongly independent families. Zbl 1453.03054
Komjáth, Péter; Shelah, Saharon
1
2017
Failure of 0-1 law for sparse random graph in strong logics (Sh1062). Zbl 1433.03072
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.
35
2016
Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012
Shelah, Saharon
29
2016
Existence of optimal ultrafilters and the fundamental complexity of simple theories. Zbl 1431.03048
Malliaris, M.; Shelah, S.
17
2016
Rigidity of continuous quotients. Zbl 1522.03147
Farah, Ilijas; Shelah, Saharon
11
2016
The left side of Cichoń’s diagram. Zbl 1431.03064
Goldstern, Martin; Mejía, Diego Alejandro; Shelah, Saharon
11
2016
On non-forking spectra. Zbl 1522.03111
Chernikov, Artem; Kaplan, Itay; Shelah, Saharon
9
2016
...and 870 more Documents
all top 5

Cited by 2,643 Authors

591 Shelah, Saharon
50 Apter, Arthur W.
49 Baldwin, John T.
49 Friedman, Sy-David
49 Gitik, Moti
48 Pillay, Anand
46 Göbel, Rüdiger
43 Dow, Alan S.
39 Rinot, Assaf
37 Todorcevic, Stevo B.
34 Hyttinen, Tapani
34 Komjáth, Péter
33 Magidor, Menachem
32 Vasey, Sebastien
31 Brendle, Jörg
31 Zdoms’kyĭ, Lyubomyr Sergiĭovych
30 Hrušák, Michael
30 Matet, Pierre
30 Zapletal, Jindřich
29 Farah, Ilijas
29 Trlifaj, Jan jun.
28 Cummings, James
28 Garti, Shimon
28 Gurevich, Yuri
28 Koszmider, Piotr B.
28 Steprāns, Juris
27 Eklof, Paul C.
27 Fischer, Vera
27 Larson, Paul B.
27 Soukup, Lajos
26 Kaplan, Itay
26 Krueger, John
26 Laskowski, Michael Chris
25 Asperó, David
25 Džamonja, Mirna
25 Rabinovich, Alexander
25 Zhukovskiĭ, Maksim Evgen’evich
24 Blass, Andreas Raphael
24 Malliaris, Maryanthe Elizabeth
24 Mekler, Alan H.
24 Mildenberger, Heike
23 Lambie-Hanson, Chris
22 Goldstern, Martin Robert
22 Kojman, Menachem
22 Nešetřil, Jaroslav
21 Bagaria, Joan
21 Tall, Franklin D.
20 Chernikov, Artem
20 Guzmán González, Osvaldo
20 Rosłanowski, Andrzej
19 Juhász, István
19 Kellner, Jakob
19 Spinas, Otmar
19 Tsaban, Boaz
19 Velickovic, Boban
18 Cox, Sean D.
18 Dugas, Manfred H.
18 Foreman, Matthew D.
18 Golshani, Mohammad
18 Hamkins, Joel David
18 Hayut, Yair
18 Hrushovski, Ehud
18 Judah, Haim I.
18 Rubin, Matatyahu
18 Schindler, Ralf-Dieter
18 Sinapova, Dima
17 Eisworth, Todd
17 Kim, Byunghan
17 Kuhlmann, Salma
17 Väänänen, Jouko Antero
16 Boney, Will
16 Lücke, Philipp Moritz
16 Moore, Justin Tatch
16 Raghavan, Dilip
16 Simon, Pierre
15 Bartoszynski, Tomek
15 Conant, Gabriel
15 Grossberg, Rami P.
14 Anstee, Richard P.
14 Banakh, Taras Onufrievich
14 Enayat, Ali
14 Kurilić, Miloš S.
14 Mejía, Diego Alejandro
14 Strüngmann, Lutz H.
14 Usuba, Toshimichi
13 Dobrinen, Natasha L.
13 Droste, Manfred
13 Eskew, Monroe
13 Fuchs, László
13 Geschke, Stefan
13 Newelski, Ludomir
13 Schmerl, James H.
13 Unger, Spencer T.
13 van Mill, Jan
12 Jin, Renling
12 Mitchell, James D.
12 Nyikos, Peter J.
12 Schlicht, Philipp
12 Soukup, Dániel Tamás
11 Fuchino, Sakaé
...and 2,543 more Authors
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Cited in 320 Serials

575 The Journal of Symbolic Logic
507 Annals of Pure and Applied Logic
341 Israel Journal of Mathematics
292 Topology and its Applications
262 Archive for Mathematical Logic
219 Proceedings of the American Mathematical Society
183 Transactions of the American Mathematical Society
155 Mathematical Logic Quarterly (MLQ)
86 The Bulletin of Symbolic Logic
74 Advances in Mathematics
71 Journal of Mathematical Logic
70 Notre Dame Journal of Formal Logic
66 Journal of Algebra
65 Fundamenta Mathematicae
64 Discrete Mathematics
59 Algebra Universalis
53 Theoretical Computer Science
43 Algebra and Logic
41 Acta Mathematica Hungarica
33 Journal of Pure and Applied Algebra
30 European Journal of Combinatorics
30 Information and Computation
28 Journal of Combinatorial Theory. Series A
28 Order
25 Communications in Algebra
25 Journal of Computer and System Sciences
23 Journal of Combinatorial Theory. Series B
21 Siberian Mathematical Journal
20 Rendiconti del Seminario Matematico della Università di Padova
20 Journal of Mathematical Sciences (New York)
20 The Electronic Journal of Combinatorics
19 Discrete Applied Mathematics
19 Journal of Mathematical Analysis and Applications
19 Mathematische Zeitschrift
19 Journal of the American Mathematical Society
17 Filomat
16 Forum Mathematicum
15 Periodica Mathematica Hungarica
15 Journal of Functional Analysis
14 Combinatorica
14 Discrete & Computational Geometry
14 SIAM Journal on Discrete Mathematics
13 Archiv für Mathematische Logik und Grundlagenforschung
13 Rocky Mountain Journal of Mathematics
13 Journal of the European Mathematical Society (JEMS)
13 European Journal of Mathematics
12 Information Processing Letters
12 Studia Logica
12 Graphs and Combinatorics
12 Random Structures & Algorithms
12 International Journal of Algebra and Computation
12 Logical Methods in Computer Science
11 Bulletin of the London Mathematical Society
11 Monatshefte für Mathematik
10 Bulletin of the Australian Mathematical Society
10 Mathematical Notes
10 Archiv der Mathematik
10 Czechoslovak Mathematical Journal
10 Synthese
10 Journal of Applied Analysis
10 Doklady Mathematics
10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
9 Semigroup Forum
9 Annals of Mathematics and Artificial Intelligence
9 Journal of Group Theory
9 Central European Journal of Mathematics
9 Forum of Mathematics, Sigma
8 Journal of the Mathematical Society of Japan
8 Journal of Soviet Mathematics
8 Memoirs of the American Mathematical Society
8 Bulletin of the American Mathematical Society. New Series
8 Topology Proceedings
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Acta Mathematica
7 Journal of the London Mathematical Society. Second Series
7 Mathematische Annalen
7 Results in Mathematics
7 Bulletin of the Polish Academy of Sciences, Mathematics
7 Combinatorics, Probability and Computing
7 Selecta Mathematica. New Series
7 The Review of Symbolic Logic
6 Problems of Information Transmission
6 Commentationes Mathematicae Universitatis Carolinae
6 Mathematika
6 SIAM Journal on Computing
6 Georgian Mathematical Journal
6 Matematicheskie Trudy
6 Journal of the Institute of Mathematics of Jussieu
6 Oberwolfach Reports
6 Sarajevo Journal of Mathematics
6 Bollettino dell’Unione Matematica Italiana
5 Canadian Journal of Mathematics
5 Colloquium Mathematicum
5 Journal of Graph Theory
5 Pacific Journal of Mathematics
5 Computational Complexity
5 Journal of Applied Non-Classical Logics
5 Theory of Computing Systems
5 Journal of Algebra and its Applications
4 Compositio Mathematica
...and 220 more Serials
all top 5

Cited in 55 Fields

3,538 Mathematical logic and foundations (03-XX)
616 General topology (54-XX)
576 Combinatorics (05-XX)
493 Group theory and generalizations (20-XX)
316 Computer science (68-XX)
296 Order, lattices, ordered algebraic structures (06-XX)
157 Functional analysis (46-XX)
142 Associative rings and algebras (16-XX)
135 Measure and integration (28-XX)
129 Topological groups, Lie groups (22-XX)
124 General algebraic systems (08-XX)
110 Commutative algebra (13-XX)
109 Field theory and polynomials (12-XX)
91 Category theory; homological algebra (18-XX)
70 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
58 Probability theory and stochastic processes (60-XX)
51 Dynamical systems and ergodic theory (37-XX)
50 Number theory (11-XX)
48 General and overarching topics; collections (00-XX)
47 Convex and discrete geometry (52-XX)
45 History and biography (01-XX)
42 Algebraic topology (55-XX)
39 Real functions (26-XX)
31 Manifolds and cell complexes (57-XX)
25 Algebraic geometry (14-XX)
25 Operations research, mathematical programming (90-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
21 Operator theory (47-XX)
15 Geometry (51-XX)
12 Approximations and expansions (41-XX)
11 Abstract harmonic analysis (43-XX)
10 Statistics (62-XX)
9 Functions of a complex variable (30-XX)
9 Information and communication theory, circuits (94-XX)
8 Sequences, series, summability (40-XX)
6 Biology and other natural sciences (92-XX)
5 Nonassociative rings and algebras (17-XX)
5 \(K\)-theory (19-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Numerical analysis (65-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Ordinary differential equations (34-XX)
3 Differential geometry (53-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Statistical mechanics, structure of matter (82-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 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year

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