## Shelah, Saharon

Compute Distance To:
 Author ID: 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)
 Documents Indexed: 1,127 Publications since 1969, including 11 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 272 Co-Authors with 788 Joint Publications 4,329 Co-Co-Authors
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### Co-Authors

 339 single-authored 35 Göbel, Rüdiger 35 Rosłanowski, Andrzej 26 Mekler, Alan H. 25 Goldstern, Martin Robert 23 Eklof, Paul C. 22 Gurevich, Yuri 19 Baldwin, John T. 19 Steprāns, Juris 18 Garti, Shimon 18 Judah, Haim I. 18 Mildenberger, Heike 17 Malliaris, Maryanthe Elizabeth 16 Bartoszynski, Tomek 14 Komjáth, Péter 14 Magidor, Menachem 13 Džamonja, Mirna 13 Juhász, István 13 Kaplan, Itay 13 Kellner, Jakob 13 Kojman, Menachem 13 Strüngmann, Lutz H. 12 Gitik, Moti 12 Stanley, Lee J. 11 Hyttinen, Tapani 11 Laskowski, Michael Chris 10 Abraham, Uri 10 Jech, Thomas J. 10 Larson, Paul B. 10 Paolini, Gianluca 10 Soukup, Lajos 10 Väänänen, Jouko Antero 9 Blass, Andreas Raphael 9 Spinas, Otmar 8 Dow, Alan S. 8 Fuchino, Sakaé 8 Thomas, Simon R. 7 Herden, Daniel 7 Jin, Renling 7 Kumar, Ashutosh 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 Zapletal, Jindřich 4 Brendle, Jörg 4 Coleman, Eoin 4 Devlin, Keith J. 4 Dugas, Manfred H. 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 Farah, Ilijas 3 Geschke, Stefan 3 Golshani, Mohammad 3 Holland, Wilbur Charles jun. 3 Kaufmann, Matt 3 Kubiś, Wiesław 3 Kuhlmann, Franz-Viktor 3 Kuhlmann, Salma 3 Mejía, Diego Alejandro 3 Nash-Williams, Crispin St. John Alvah 3 Sági, Gábor 3 Spencer, Joel H. 3 Stavi, Jonathan 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 Fremlin, David H. 2 Gilchrist, Martin Philip 2 Greenberg, Noam 2 Halbeisen, Lorenz J. 2 Hart, Bradd T. ...and 174 more Co-Authors
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### Serials

 157 Israel Journal of Mathematics 146 The Journal of Symbolic Logic 87 Annals of Pure and Applied Logic 71 Fundamenta Mathematicae 59 Archive for Mathematical Logic 54 Proceedings of the American Mathematical Society 39 Transactions of the American Mathematical Society 31 Notre Dame Journal of Formal Logic 22 Mathematical Logic Quarterly (MLQ) 17 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 9 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 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 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
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### Fields

 1,021 Mathematical logic and foundations (03-XX) 185 Group theory and generalizations (20-XX) 95 Order, lattices, ordered algebraic structures (06-XX) 92 Combinatorics (05-XX) 87 General topology (54-XX) 33 Commutative algebra (13-XX) 29 Measure and integration (28-XX) 25 Associative rings and algebras (16-XX) 18 General algebraic systems (08-XX) 15 Computer science (68-XX) 13 Functional analysis (46-XX) 11 Field theory and polynomials (12-XX) 10 Real functions (26-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Category theory; homological algebra (18-XX) 8 Probability theory and stochastic processes (60-XX) 7 Topological groups, Lie groups (22-XX) 5 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Algebraic topology (55-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

924 Publications have been cited 8,704 times in 4,154 Documents Cited by Year
Proper forcing. Zbl 0495.03035
Shelah, Saharon
1982
Proper and improper forcing. 2nd ed. Zbl 0889.03041
Shelah, Saharon
1998
Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028
Foreman, M.; Magidor, M.; Shelah, Saharon
1988
A combinatorial problem; stability and order for models and theories in infinitary languages. Zbl 0239.02024
Shelah, Saharon
1972
Cardinal arithmetic. Zbl 0848.03025
Shelah, Saharon
1994
Classification theory and the number of non-isomorphic models. Zbl 0388.03009
Shelah, S.
1978
Classification theory and the number of non-isomorphic models. 2nd rev. ed. Zbl 0713.03013
Shelah, Saharon
1990
Can you take Solovay’s inaccessible away? Zbl 0596.03055
Shelah, Saharon
1984
The monadic theory of order. Zbl 0345.02034
Shelah, Saharon
1975
Infinite Abelian groups, Whitehead problem and some constructions. Zbl 0318.02053
Shelah, Saharon
1974
A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals. Zbl 0369.02034
Shelah, Saharon
1975
A weak version of $$\lozenge$$ which follows from $$2^{\aleph_0}<2^{\aleph_1}$$. Zbl 0403.03040
Devlin, Keith J.; Shelah, Saharon
1978
Simple unstable theories. Zbl 0489.03008
Shelah, Saharon
1980
There may be simple $$P_{\aleph _ 1}$$- and $$P_{\aleph _ 2}$$-points and the Rudin-Keisler ordering may be downward directed. Zbl 0634.03047
Blass, Andreas; Shelah, Saharon
1987
Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory. Zbl 0281.02052
Shelah, Saharon
1971
On the consistency of some partition theorems for continuous colorings, and the structure of $$\aleph _ 1$$-dense real order types. Zbl 0585.03019
Abraham, Uri; Rubin, Matatyahu; Shelah, Saharon
1985
The small index property for $$\omega$$-stable $$\omega$$-categorical structures and for the random graph. Zbl 0788.03039
Hodges, Wilfrid; Hodkinson, Ian; Lascar, Daniel; Shelah, Saharon
1993
zero-one laws for sparse random graphs. Zbl 0647.05051
Shelah, Saharon; Spencer, Joel
1988
Dependent first order theories, continued. Zbl 1195.03040
Shelah, Saharon
2009
Every two elementarily equivalent models have isomorphic ultrapowers. Zbl 0224.02045
Shelah, Saharon
1971
Finite diagrams stable in power. Zbl 0204.31104
Shelah, S.
1970
Fixed-point extensions of first-order logic. Zbl 0621.03013
Gurevich, Yuri; Shelah, Saharon
1986
On certain indestructibility of strong cardinals and a question of Hajnal. Zbl 0663.03041
Gitik, Moti; Shelah, Saharon
1989
Classification theory for non-elementary classes. I: The number of uncountable models of $$\psi \in L_{\omega _ 1,\omega}$$. Zbl 0552.03019
Shelah, Saharon
1983
Categoricity for abstract classes with amalgamation. Zbl 0945.03049
Shelah, Saharon
1999
Reflecting stationary sets and successors of singular cardinals. Zbl 0742.03017
Shelah, Saharon
1991
Primitive recursive bounds for van der Waerden numbers. Zbl 0649.05010
Shelah, Saharon
1988
Toward classifying unstable theories. Zbl 0874.03043
Shelah, Saharon
1996
Classification theory for abstract elementary classes. Zbl 1225.03036
Shelah, Saharon
2009
Some exact equiconsistency results in set theory. Zbl 0579.03039
Harrington, Leo; Shelah, Saharon
1985
Remarks on superatomic Boolean algebras. Zbl 0643.03038
Baumgartner, James E.; Shelah, Saharon
1987
Forcing closed unbounded sets. Zbl 0568.03024
Abraham, Uri; Shelah, Saharon
1983
The tree property at successors of singular cardinals. Zbl 0874.03060
Magidor, Menachem; Shelah, Saharon
1996
Diamonds. Zbl 1280.03047
Shelah, Saharon
2010
Whitehead groups may not be free even assuming CH. II. Zbl 0467.03049
Shelah, Saharon
1980
When does almost free imply free? (For groups, transversals, etc.). Zbl 0819.20059
Magidor, Menachem; Shelah, Saharon
1994
The undecidability of the recursively enumerable degrees. Zbl 0518.03016
Harrington, Leo; Shelah, Saharon
1982
Advances in cardinal arithmetic. Zbl 0844.03028
Shelah, Saharon
1993
A proof of Vaught’s conjecture for $$\omega$$-stable theories. Zbl 0584.03021
Shelah, S.; Harrington, L.; Makkai, M.
1984
Whitehead groups may be not free, even assuming CH. I. Zbl 0369.02035
Shelah, Saharon
1977
Toward categoricity for classes with no maximal models. Zbl 0945.03048
Shelah, Saharon; Villaveces, Andrés
1999
On the strong equality between supercompactness and strong compactness. Zbl 0864.03036
Apter, Arthur W.; Shelah, Saharon
1997
Norms on possibilities. I: Forcing with trees and creatures. Zbl 0940.03059
Rosłanowski, Andrzej; Shelah, Saharon
1999
The generalized continuum hypothesis revisited. Zbl 0955.03054
Shelah, Saharon
2000
Strongly dependent theories. Zbl 1371.03043
Shelah, Saharon
2014
The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). Zbl 0718.03037
Judah, Haim; Shelah, Saharon
1990
On successors of singular cardinals. Zbl 0449.03045
Shelah, Saharon
1979
Ultrafilters with small generating sets. Zbl 0681.03033
Blass, Andreas; Shelah, Saharon
1989
Generalized quantifiers and compact logic. Zbl 0322.02010
Shelah, Saharon
1975
$$\Delta^ 1_ 2$$-sets of reals. Zbl 0668.03020
Ihoda, Jaime I.; Shelah, Saharon
1989
Categoricity over P for first order T or categoricity for $$\phi$$ $$\in {\mathcal L}_{\omega_ 1\omega}$$ can stop at $$\aleph_ k$$ while holding for $$\aleph_ 0,\dots ,\aleph_{k-1}$$. Zbl 0723.03017
1990
Models with second order properties. II: Trees with no undefined branches. Zbl 0383.03019
Shelah, Saharon
1978
Expected computation time for Hamiltonian path problem. Zbl 0654.68083
Gurevich, Yuri; Shelah, Saharon
1987
Categoricity of an abstract elementary class in two successive cardinals. Zbl 0999.03030
Shelah, Saharon
2001
A weak generalization of MA to higher cardinals. Zbl 0384.03032
Shelah, S.
1978
Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 1477.03125
Malliaris, M.; Shelah, S.
2016
Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable. Zbl 0705.03028
Shelah, Saharon; Woodin, Hugh
1990
$$\Delta$$-logics and generalized quantifiers. Zbl 0346.02007
Makowsky, J. A.; Shelah, Saharon; Stavi, Jonathan
1976
Souslin forcing. Zbl 0673.03039
Ihoda, Jaime I.; Shelah, Saharon
1988
Categoricity of theories in $$L_{\kappa \omega}$$, with $$\kappa$$ a compact cardinal. Zbl 0704.03015
Shelah, Saharon; Makkai, Michael
1990
The bounded proper forcing axiom. Zbl 0819.03042
Goldstern, Martin; Shelah, Saharon
1995
Cardinal invariants above the continuum. Zbl 0835.03013
Cummings, James; Shelah, Saharon
1995
On $$\vartriangleleft^{*}$$-maximality. Zbl 1040.03029
Džamonja, Mirna; Shelah, Saharon
2004
PFA implies all automorphisms are trivial. Zbl 0691.03031
Shelah, Saharon; Steprāns, Juris
1988
On random models of finite power and monadic logic. Zbl 0579.03006
Kaufmann, Matt; Shelah, Saharon
1985
Non-forking frames in abstract elementary classes. Zbl 1315.03050
2013
The lazy model-theoretician’s guide to stability. Zbl 0359.02052
Shelah, Saharon
1975
Two cardinal invariants of the continuum $$({\mathfrak d} <{\mathfrak a})$$ and FS linearly ordered iterated forcing. Zbl 1106.03044
Shelah, Saharon
2004
Universal graphs with forbidden subgraphs and algebraic closure. Zbl 0928.03049
Cherlin, Gregory; Shelah, Saharon; Shi, Niandong
1999
Can the fundamental (homotopy) group of a space be the rationals? Zbl 0661.55012
Shelah, Saharon
1988
Forcings with ideals and simple forcing notions. Zbl 0686.03027
Gitik, Moti; Shelah, Saharon
1989
Near coherence of filters. III: A simplified consistency proof. Zbl 0702.03030
Blass, Andreas; Shelah, Saharon
1989
Sacks forcing, Laver forcing, and Martin’s axiom. Zbl 0755.03026
Judah, Haim; Miller, Arnold W.; Shelah, Saharon
1992
Nonexistence of universal orders in many cardinals. Zbl 0790.03036
Kojman, Menachem; Shelah, Saharon
1992
Second-order quantifiers and the complexity of theories. Zbl 0596.03033
Baldwin, J. T.; Shelah, S.
1985
Regularity lemmas for stable graphs. Zbl 1283.05234
Malliaris, M.; Shelah, S.
2014
Categoricity in $$\aleph_1$$ of sentences in $$L_{\omega_1\omega}(Q)$$. Zbl 0324.02038
Shelah, Saharon
1975
Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012
Shelah, Saharon
2016
Chang’s conjecture for $$\aleph_\omega$$. Zbl 0696.03023
Levinski, Jean-Pierre; Magidor, Menachem; Shelah, Saharon
1990
Randomness and semigenericity. Zbl 0952.03029
Baldwin, John T.; Shelah, Saharon
1997
Independence results. Zbl 0451.03017
Shelah, Saharon
1980
Incompactness in regular cardinals. Zbl 0617.03025
Shelah, Saharon
1985
The spectrum problem. I: $$\aleph_{\epsilon}$$-saturated models, the main gap. Zbl 0532.03013
Shelah, Saharon
1982
Strong splitting in stable homogeneous models. Zbl 0961.03028
Hyttinen, Tapani; Shelah, Saharon
2000
Classification of first order theories which have a structure theorem. Zbl 0578.03016
Shelah, Saharon
1985
Isomorphism types of Aronszajn trees. Zbl 0566.03032
Abraham, U.; Shelah, S.
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
1981
Uncountable universal locally finite groups. Zbl 0363.20032
Macintyre, Angus J.; Shelah, Saharon
1976
Was Sierpinski right? I. Zbl 0657.03028
Shelah, Saharon
1988
Cotorsion theories and splitters. Zbl 0962.20039
Göbel, Rüdiger; Shelah, Saharon
2000
Classification theory for abstract elementary classes. Vol 2. Zbl 1225.03037
Shelah, Saharon
2009
Minimal bounded index subgroup for dependent theories. Zbl 1144.03026
Shelah, Saharon
2008
Further cardinal arithmetic. Zbl 0864.03032
Shelah, Saharon
1996
Choiceless polynomial time. Zbl 0936.03037
Blass, Andreas; Gurevich, Yuri; Shelah, Saharon
1999
On strong measure zero subsets of $${}^\kappa 2$$. Zbl 0994.03038
Halko, Aapo; Shelah, Saharon
2001
Exponentiation in power series fields. Zbl 0888.12004
Kuhlmann, Franz-Viktor; Kuhlmann, Salma; Shelah, Saharon
1997
The number of non-isomorphic models of an unstable first-order theory. Zbl 0226.02045
Shelah, Saharon
1971
Uniqueness and characterization of prime models over sets for totally transcendental first-order theories. Zbl 0247.02047
Shelah, Saharon
1972
Ultrafilters on $$\omega$$ – their ideals and their cardinal characteristics. Zbl 0927.03073
Brendle, Jörg; Shelah, Saharon
1999
The $$\aleph_2$$-Souslin hypothesis. Zbl 0495.03034
Laver, Richard; Shelah, Saharon
1981
Countably compact groups without non-trivial convergent sequences. Zbl 1482.22002
Hrušák, M.; van Mill, J.; Ramos-García, U. A.; Shelah, S.
2021
Transcendence bases, well-orderings of the reals and the axiom of choice. Zbl 07299124
Horowitz, Haim; Shelah, Saharon
2021
The higher Cichoń diagram. Zbl 07301056
Baumhauer, Thomas; Goldstern, Martin; Shelah, Saharon
2021
On some variants of the club principle. Zbl 1479.03018
Kumar, Ashutosh; Shelah, Saharon
2021
Universal graphs and functions on $$\omega_1$$. Zbl 07358546
Shelah, Saharon; Steprāns, Juris
2021
Ramsey theory for highly connected monochromatic subgraphs. Zbl 1474.03111
Bergfalk, J.; Hrušák, M.; Shelah, S.
2021
Double weakness. Zbl 1474.03123
Garti, S.; Shelah, S.
2021
Keisler’s order is not simple (and simple theories may not be either). Zbl 07415199
Malliaris, M.; Shelah, S.
2021
Controlling cardinal characteristics without adding reals. Zbl 07419668
Goldstern, Martin; Kellner, Jakob; Mejía, Diego A.; Shelah, Saharon
2021
Cardinal characteristics at $$\aleph_\omega$$. Zbl 07200100
Garti, Shimon; Gitik, M.; Shelah, S.
2020
A small ultrafilter number at smaller cardinals. Zbl 1481.03055
Raghavan, Dilip; Shelah, Saharon
2020
Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado. Zbl 1439.05085
Garti, Shimon; Magidor, Menachem; Shelah, Saharon
2020
Quite free complicated abelian groups, PCF and black boxes. Zbl 07297399
Shelah, Saharon
2020
Automorphism groups of countable stable structures. Zbl 07177203
Paolini, Gianluca; Shelah, Saharon
2020
An example of a new simple theory. Zbl 1458.03026
Malliaris, M.; Shelah, S.
2020
Superstable theories and representation. Zbl 1463.03008
Shelah, Saharon
2020
Strongly bounded groups of various cardinalities. Zbl 07268375
Corson, Samuel M.; Shelah, Saharon
2020
Cichoń’s maximum. Zbl 07097497
Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
2019
Local character of Kim-independence. Zbl 07020582
Kaplan, Itay; Ramsey, Nicholas; Shelah, Saharon
2019
Reconstructing structures with the strong small index property up to bi-definability. Zbl 1480.03015
Paolini, Gianluca; Shelah, Saharon
2019
Another ordering of the ten cardinal characteristics in Cichoń’s diagram. Zbl 1463.03015
Kellner, Jakob; Shelah, Saharon; Tănasie, Anda R.
2019
A new look at interpretability and saturation. Zbl 1472.03030
Malliaris, M.; Shelah, S.
2019
The last forcing standing with diamonds. Zbl 1480.03049
Rosłanowski, Andrzej; Shelah, Saharon
2019
Compactness in singular cardinals revisited. Zbl 1449.03015
Shelah, Saharon
2019
Infinite monochromatic sumsets for colourings of the reals. Zbl 07057728
Komjáth, Péter; Leader, Imre; Russell, Paul A.; Shelah, Saharon; Soukup, Dániel T.; Vidnyánszky, Zoltán
2019
Generalizing random real forcing for inaccessible cardinals. Zbl 07143822
Cohen, Shani; Shelah, Saharon
2019
Note on finitary Hindman numbers. Zbl 1449.05238
Mohsenipour, Shahram; Shelah, Saharon
2019
Borel sets without perfectly many overlapping translations. Zbl 07161694
Rosłanowski, Andrzej; Shelah, Saharon
2019
Ultrafilter extensions do not preserve elementary equivalence. Zbl 07197339
Saveliev, Denis I.; Shelah, Saharon
2019
Universal theories and compactly expandable models. Zbl 1441.03024
Casanovas, Enrique; Shelah, Saharon
2019
Pseudo P-points and splitting number. Zbl 1468.03054
Dow, Alan; Shelah, Saharon
2019
The colouring existence theorem revisited. Zbl 1449.03014
Shelah, S.
2019
Saturated null and meager ideal. Zbl 1477.03213
Kumar, Ashutosh; Shelah, Saharon
2019
On the non-existence of mad families. Zbl 1477.03211
Horowitz, Haim; Shelah, Saharon
2019
Keisler’s order has infinitely many classes. Zbl 1402.03045
Malliaris, Maryanthe; Shelah, Saharon
2018
On the cofinality of the splitting number. Zbl 1436.03260
Dow, Alan; Shelah, Saharon
2018
The automorphism group of Hall’s universal group. Zbl 1427.20043
Paolini, Gianluca; Shelah, Saharon
2018
On the spectrum of characters of ultrafilters. Zbl 1455.03059
Garti, Shimon; Magidor, Menachem; Shelah, Saharon
2018
Abstract elementary classes stable in $$\aleph_{0}$$. Zbl 1469.03099
Shelah, Saharon; Vasey, Sebastien
2018
Random reals and polarized colorings. Zbl 1413.03008
Garti, Shimon; Shelah, Saharon
2018
There is no bound on sizes of indecomposable Banach spaces. Zbl 1396.46015
Koszmider, Piotr; Shelah, Saharon; Świȩtek, Michał
2018
Small-large subgroups of the reals. Zbl 1441.03039
Rosłanowski, Andrzej; Shelah, Saharon
2018
The spectrum of ultraproducts of finite cardinals for an ultrafilter. Zbl 1424.03015
Shelah, S.
2018
Set mappings on 4-tuples. Zbl 1455.03060
Mohsenipour, Shahram; Shelah, Saharon
2018
The abelianization of inverse limits of groups. Zbl 1443.20082
Barnea, Ilan; Shelah, Saharon
2018
Clubs on quasi measurable cardinals. Zbl 07198300
Kumar, Ashutosh; Shelah, Saharon
2018
Two inequalities between cardinal invariants. Zbl 1420.03127
Raghavan, Dilip; Shelah, Saharon
2017
Creature forcing and five cardinal characteristics in Cichoń’s diagram. Zbl 1404.03040
Fischer, Arthur; Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
2017
On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility. Zbl 1423.03195
Raghavan, Dilip; Shelah, Saharon
2017
A parallel to the null ideal for inaccessible $$\lambda$$. I. Zbl 1417.03266
Shelah, Saharon
2017
Definable groups for dependent and 2-dependent theories. Zbl 1424.03016
Shelah, Saharon
2017
Universal structures. Zbl 1417.03231
Shelah, Saharon
2017
Model-theoretic applications of cofinality spectrum problems. Zbl 1423.03177
Malliaris, Maryanthe; Shelah, Saharon
2017
Decidability and classification of the theory of integers with primes. Zbl 1422.03071
Kaplan, Itay; Shelah, Saharon
2017
The nonstationary ideal on $$P_\kappa (\lambda )$$ for $$\lambda$$ singular. Zbl 1417.03250
Matet, Pierre; Shelah, Saharon
2017
A framework for forcing constructions at successors of singular cardinals. Zbl 1423.03185
Cummings, James; Džamonja, Mirna; Magidor, Menachem; Morgan, Charles; Shelah, Saharon
2017
Group metrics for graph products of cyclic groups. Zbl 1383.54036
Paolini, Gianluca; Shelah, Saharon
2017
Open problems on ultrafilters and some connections to the continuum. Zbl 1402.03038
Malliaris, M.; Shelah, S.
2017
Exact saturation in simple and NIP theories. Zbl 1420.03066
Kaplan, Itay; Shelah, Saharon; Simon, Pierre
2017
On the verge of inconsistency: Magidor cardinals and Magidor filters. Zbl 1412.03020
Garti, Shimon; Hayut, Yair; Shelah, Saharon
2017
A transversal of full outer measure. Zbl 1423.03187
Kumar, Ashutosh; Shelah, Saharon
2017
Existentially closed locally finite groups (Sh312). Zbl 1433.03090
Shelah, Saharon
2017
Closed sets which consistently have few translations covering the line. Zbl 1420.03126
Bartoszynski, Tomek; Larson, Paul; Shelah, Saharon
2017
No uncountable Polish group can be a right-angled Artin group. Zbl 1422.20001
Paolini, Gianluca; Shelah, Saharon
2017
Cofinality spectrum theorems in model theory, set theory, and general topology. Zbl 1477.03125
Malliaris, M.; Shelah, S.
2016
Proper and improper forcing. 2nd edition. Reprint of the 1998 original published by Springer. Zbl 1365.03012
Shelah, Saharon
2016
Existence of optimal ultrafilters and the fundamental complexity of simple theories. Zbl 1431.03048
Malliaris, M.; Shelah, S.
2016
On non-forking spectra. Zbl 06669860
Chernikov, Artem; Kaplan, Itay; Shelah, Saharon
2016
The left side of Cichoń’s diagram. Zbl 1431.03064
Goldstern, Martin; Mejía, Diego Alejandro; Shelah, Saharon
2016
Rigidity of continuous quotients. Zbl 06527391
Farah, Ilijas; Shelah, Saharon
2016
Open and solved problems concerning polarized partition relations. Zbl 06602778
Garti, Shimon; Shelah, Saharon
2016
Universal graphs with a forbidden subgraph: block path solidity. Zbl 1389.05112
Cherlin, Gregory; Shelah, Saharon
2016
On the number of Dedekind cuts and two-cardinal models of dependent theories. Zbl 1430.03053
Chernikov, Artem; Shelah, Saharon
2016
Stable theories and representation over sets. Zbl 1412.03015
Shelah, Saharon; Cohen, Moran
2016
Cofinality of normal ideals on $$[\lambda]^{<\kappa}$$. I. Zbl 1408.03032
Matet, Pierre; Péan, Cédric; Shelah, Saharon
2016
The generic pair conjecture for dependent finite diagrams. Zbl 1377.03023
Kaplan, Itay; Lavi, Noa; Shelah, Saharon
2016
On cuts in ultraproducts of linear orders. I. Zbl 1380.03036
2016
Constructing many atomic models in $$\aleph_1$$. Zbl 1383.03045
Baldwin, John T.; Laskowski, Michael C.; Shelah, Saharon
2016
Cofinality spectrum problems: the axiomatic approach. Zbl 1477.03176
Malliaris, M.; Shelah, S.
2016
Beginning of stability theory for Polish spaces. Zbl 1366.03214
Shelah, Saharon
2016
Lower bounds on coloring numbers from hardness hypotheses in pcf theory. Zbl 06640957
Shelah, Saharon
2016
Forcing a countable structure to belong to the ground model. Zbl 1372.03059
Kaplan, Itay; Shelah, Saharon
2016
$$\mathrm{ZF}+\mathrm{DC}+\mathrm{AX}_4$$. Zbl 1403.03078
Shelah, Saharon
2016
No universal group in a cardinal. Zbl 1402.03048
Shelah, Saharon
2016
There are no very meager sets in the model in which both the Borel conjecture and the dual Borel conjecture are true. Zbl 1358.03076
Shelah, Saharon; Wohofsky, Wolfgang
2016
Constructing regular ultrafilters from a model-theoretic point of view. Zbl 1387.03029
Malliaris, M.; Shelah, S.
2015
Dependent theories and the generic pair conjecture. Zbl 1338.03065
Shelah, Saharon
2015
Symmetrically complete ordered sets abelian groups and fields. Zbl 1345.06016
Kuhlmann, Katarzyna; Kuhlmann, Franz-Viktor; Shelah, Saharon
2015
Borel completeness of some $$\aleph_{0}$$-stable theories. Zbl 1373.03056
2015
Almost Galois $$\omega$$-stable classes. Zbl 1382.03059
Baldwin, John T.; Larson, Paul B.; Shelah, Saharon
2015
Saturating the random graph with an independent family of small range. Zbl 1429.03135
Malliaris, Maryanthe; Shelah, Saharon
2015
Non-trivial automorphisms of $${\mathcal {P}}({\mathbb {N}})/[{\mathbb {N}}]^{<\aleph _0}$$ from variants of small dominating number. Zbl 1352.03055
Shelah, Saharon; Steprāns, Juris
2015
Shelah, Saharon; Spinas, Otmar
2015
Strong colorings yield $$\kappa$$-bounded spaces with discretely untouchable points. Zbl 1320.54007
Juhász, István; Shelah, Saharon
2015
$$\mathbf P$$-NDOP and $$\mathbf P$$-decompositions of $$\aleph_{\epsilon}$$-saturated models of superstable theories. Zbl 1372.03067
2015
A.e.c. with not too many models. Zbl 1429.03140
Shelah, Saharon
2015
Models of PA: when two elements are necessarily order automorphic. Zbl 1367.03072
Shelah, Saharon
2015
Positional strategies in long Ehrenfeucht-Fraïssé games. Zbl 1373.03099
Shelah, S.; Väänänen, J.; Veličković, B.
2015
Strongly dependent theories. Zbl 1371.03043
Shelah, Saharon
2014
Regularity lemmas for stable graphs. Zbl 1283.05234
Malliaris, M.; Shelah, S.
2014
...and 824 more Documents
all top 5

### Cited by 2,344 Authors

 552 Shelah, Saharon 47 Friedman, Sy-David 47 Pillay, Anand 46 Göbel, Rüdiger 45 Apter, Arthur W. 45 Gitik, Moti 44 Baldwin, John T. 40 Hyttinen, Tapani 38 Dow, Alan S. 34 Komjáth, Péter 34 Todorcevic, Stevo B. 31 Rinot, Assaf 30 Magidor, Menachem 28 Brendle, Jörg 28 Hrušák, Michael 28 Koszmider, Piotr B. 27 Eklof, Paul C. 26 Cummings, James 26 Gurevich, Yuri 26 Trlifaj, Jan jun. 26 Vasey, Sebastien 26 Zapletal, Jindřich 25 Krueger, John 25 Larson, Paul B. 25 Steprāns, Juris 24 Matet, Pierre 24 Mekler, Alan H. 24 Zdoms’kyĭ, Lyubomyr Sergiĭovych 23 Blass, Andreas Raphael 23 Džamonja, Mirna 23 Garti, Shimon 23 Laskowski, Michael Chris 23 Malliaris, Maryanthe Elizabeth 23 Mildenberger, Heike 23 Zhukovskiĭ, Maksim Evgen’evich 22 Asperó, David 22 Farah, Ilijas 22 Rabinovich, Alexander 22 Soukup, Lajos 21 Kaplan, Itay 21 Kojman, Menachem 20 Goldstern, Martin Robert 20 Nešetřil, Jaroslav 20 Rosłanowski, Andrzej 20 Tall, Franklin D. 19 Bagaria, Joan 19 Tsaban, Boaz 18 Dugas, Manfred H. 18 Foreman, Matthew D. 18 Hrushovski, Ehud 18 Judah, Haim I. 18 Spinas, Otmar 18 Velickovic, Boban 17 Chernikov, Artem 17 Fischer, Vera 17 Lambie-Hanson, Chris 17 Rubin, Matatyahu 16 Golshani, Mohammad 16 Hamkins, Joel David 16 Juhász, István 16 Kellner, Jakob 16 Kim, Byunghan 16 Moore, Justin Tatch 16 Sinapova, Dima 16 Väänänen, Jouko Antero 15 Bartoszynski, Tomek 15 Eisworth, Todd 15 Grossberg, Rami P. 15 Schindler, Ralf-Dieter 15 Simon, Pierre 14 Guzmán González, Osvaldo 14 Kurilić, Miloš S. 14 Lücke, Philipp Moritz 14 Raghavan, Dilip 14 Strüngmann, Lutz H. 13 Anstee, Richard P. 13 Boney, Will 13 Conant, Gabriel 13 Cox, Sean D. 13 Droste, Manfred 13 Fuchs, László 13 Hayut, Yair 13 Kuhlmann, Salma 13 Schmerl, James H. 12 Geschke, Stefan 12 Newelski, Ludomir 12 Soukup, Dániel Tamás 12 Unger, Spencer T. 12 Usuba, Toshimichi 11 Dobrinen, Natasha L. 11 Fuchino, Sakaé 11 Hart, Bradd T. 11 Jin, Renling 11 Shore, Richard Arnold 11 Thomas, Simon R. 11 van Mill, Jan 10 Burke, Maxim R. 10 Enayat, Ali 10 Jech, Thomas J. 10 Kanamori, Akihiro ...and 2,244 more Authors
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### Cited in 288 Serials

 538 The Journal of Symbolic Logic 463 Annals of Pure and Applied Logic 322 Israel Journal of Mathematics 262 Topology and its Applications 243 Archive for Mathematical Logic 207 Proceedings of the American Mathematical Society 178 Transactions of the American Mathematical Society 83 The Bulletin of Symbolic Logic 80 Mathematical Logic Quarterly (MLQ) 67 Advances in Mathematics 66 Notre Dame Journal of Formal Logic 60 Discrete Mathematics 59 Journal of Algebra 58 Journal of Mathematical Logic 57 Algebra Universalis 57 Fundamenta Mathematicae 52 Theoretical Computer Science 41 Algebra and Logic 35 Acta Mathematica Hungarica 32 Journal of Pure and Applied Algebra 27 Journal of Combinatorial Theory. Series A 27 Order 27 Information and Computation 26 European Journal of Combinatorics 24 Communications in Algebra 24 Journal of Computer and System Sciences 20 Rendiconti del Seminario Matematico della Università di Padova 20 Siberian Mathematical Journal 19 Journal of Combinatorial Theory. Series B 19 Mathematische Zeitschrift 19 Journal of the American Mathematical Society 19 Journal of Mathematical Sciences (New York) 18 Discrete Applied Mathematics 18 Journal of Mathematical Analysis and Applications 16 The Electronic Journal of Combinatorics 14 Periodica Mathematica Hungarica 14 Combinatorica 13 Archiv für Mathematische Logik und Grundlagenforschung 13 Rocky Mountain Journal of Mathematics 13 Forum Mathematicum 12 Information Processing Letters 12 Studia Logica 12 SIAM Journal on Discrete Mathematics 12 International Journal of Algebra and Computation 11 Journal of Functional Analysis 11 Graphs and Combinatorics 11 Discrete & Computational Geometry 11 Logical Methods in Computer Science 10 Mathematical Notes 10 Czechoslovak Mathematical Journal 10 Journal of Applied Analysis 10 Journal of the European Mathematical Society (JEMS) 9 Archiv der Mathematik 9 Semigroup Forum 9 Random Structures & Algorithms 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 Monatshefte für Mathematik 8 Synthese 8 Bulletin of the American Mathematical Society. New Series 8 Annals of Mathematics and Artificial Intelligence 8 Doklady Mathematics 7 Acta Mathematica 7 Results in Mathematics 7 Bulletin of the Polish Academy of Sciences, Mathematics 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Problems of Information Transmission 6 Bulletin of the London Mathematical Society 6 Mathematische Annalen 6 Memoirs of the American Mathematical Society 6 Topology Proceedings 6 Selecta Mathematica. New Series 6 Journal of the Institute of Mathematics of Jussieu 6 Forum of Mathematics, Sigma 5 Journal of Applied Non-Classical Logics 5 Combinatorics, Probability and Computing 5 Georgian Mathematical Journal 5 Theory of Computing Systems 5 Journal of Algebra and its Applications 5 Sarajevo Journal of Mathematics 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 Computational Complexity 4 Filomat 4 Matematicheskie Trudy 4 Lobachevskii Journal of Mathematics 4 Algebraic & Geometric Topology 4 Mediterranean Journal of Mathematics ...and 188 more Serials
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### Cited in 51 Fields

 3,138 Mathematical logic and foundations (03-XX) 543 General topology (54-XX) 486 Combinatorics (05-XX) 455 Group theory and generalizations (20-XX) 272 Order, lattices, ordered algebraic structures (06-XX) 266 Computer science (68-XX) 132 Functional analysis (46-XX) 127 Associative rings and algebras (16-XX) 116 General algebraic systems (08-XX) 114 Measure and integration (28-XX) 105 Topological groups, Lie groups (22-XX) 99 Commutative algebra (13-XX) 96 Field theory and polynomials (12-XX) 76 Category theory; homological algebra (18-XX) 61 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Probability theory and stochastic processes (60-XX) 45 Dynamical systems and ergodic theory (37-XX) 43 History and biography (01-XX) 41 General and overarching topics; collections (00-XX) 40 Algebraic topology (55-XX) 37 Number theory (11-XX) 37 Real functions (26-XX) 36 Convex and discrete geometry (52-XX) 29 Manifolds and cell complexes (57-XX) 21 Algebraic geometry (14-XX) 21 Operations research, mathematical programming (90-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 15 Operator theory (47-XX) 11 Approximations and expansions (41-XX) 11 Abstract harmonic analysis (43-XX) 10 Geometry (51-XX) 10 Statistics (62-XX) 8 Functions of a complex variable (30-XX) 7 Sequences, series, summability (40-XX) 6 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) 5 Biology and other natural sciences (92-XX) 4 Several complex variables and analytic spaces (32-XX) 3 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 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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