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Foreman, Matthew D.

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Author ID: foreman.matthew-d Recent zbMATH articles by "Foreman, Matthew D."
Published as: Foreman, Matthew; Foreman, M.; Foreman, Matthew D.
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Documents Indexed: 60 Publications since 1982, including 3 Books

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 807 times in 493 Documents Cited by Year
Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028
Foreman, M.; Magidor, M.; Shelah, Saharon
155
1988
Squares, scales and stationary reflection. Zbl 0988.03075
Cummings, James; Foreman, Matthew; Magidor, Menachem
105
2001
Ideals and generic elementary embeddings. Zbl 1198.03050
Foreman, Matthew
43
2010
Large cardinals and definable counterexamples to the continuum hypothesis. Zbl 0837.03040
Foreman, Matthew; Magidor, Menachem
42
1995
A very weak square principle. Zbl 0880.03022
Foreman, Matthew; Magidor, Menachem
41
1997
The generalized continuum hypothesis can fail everywhere. Zbl 0718.03040
Foreman, Matthew; Woodin, W. Hugh
38
1991
The tree property. Zbl 0949.03039
Cummings, James; Foreman, Matthew
35
1998
An anti-classification theorem for ergodic measure preserving transformations. Zbl 1063.37004
Foreman, Matthew; Weiss, Benjamin
27
2004
Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\). Zbl 1017.03022
Foreman, Matthew; Magidor, Menachem
24
2001
Potent axioms. Zbl 0614.03051
Foreman, Matthew
21
1986
Canonical structure in the universe of set theory. I. Zbl 1058.03051
Cummings, James; Foreman, Matthew; Magidor, Menachem
21
2004
The conjugacy problem in ergodic theory. Zbl 1243.37006
Foreman, Matthew; Rudolph, Daniel J.; Weiss, Benjamin
20
2011
Canonical structure in the universe of set theory. II. Zbl 1096.03060
Cummings, James; Foreman, Matthew; Magidor, Menachem
20
2006
Games played on Boolean algebras. Zbl 0536.03033
Foreman, Matthew
18
1983
A new Löwenheim-Skolem theorem. Zbl 1082.03034
Foreman, Matthew; Todorcevic, Stevo
17
2005
Diagonal Prikry extensions. Zbl 1245.03078
Cummings, James; Foreman, Matthew
14
2010
Large cardinals and strong model theoretic transfer properties. Zbl 0494.03034
Foreman, Matthew
13
1982
Some downwards transfer properties for \(\aleph _ 2\). Zbl 0659.03033
Foreman, Matthew; Laver, Richard
13
1988
More saturated ideals. Zbl 0536.03032
Foreman, Matthew
10
1983
The club guessing ideal: commentary on a theorem of Gitik and Shelah. Zbl 1081.03047
Foreman, Matthew; Komjath, Peter
9
2005
Calculating quotient algebras of generic embeddings. Zbl 1270.03092
Foreman, Matthew
9
2013
Banach-Tarski decompositions using sets with the property of Baire. Zbl 0795.28003
Dougherty, Randall; Foreman, Matthew
8
1994
A descriptive view of ergodic theory. Zbl 0962.03043
Foreman, Matthew
7
2000
The consistency strength of successive cardinals with the tree property. Zbl 0994.03042
Foreman, Matthew; Magidor, Menachem; Schindler, Ralf-Dieter
7
2001
The non-compactness of square. Zbl 1069.03032
Cummings, James; Foreman, Matthew; Magidor, Menachem
7
2003
Smoke and mirrors: combinatorial properties of small cardinals equiconsistent with huge cardinals. Zbl 1178.03068
Foreman, Matthew
7
2009
The Hahn-Banach theorem implies the existence of a non-Lebesgue measurable set. Zbl 0792.28005
Foreman, Matthew; Wehrung, Friedrich
6
1991
An \(\aleph_1\)-dense ideal on \(\aleph_2\). Zbl 0919.03039
Foreman, Matthew
6
1998
Stationary sets, Chang’s conjecture and partition theory. Zbl 1013.03049
Foreman, Matthew
6
2002
Correction to: “Martin’s maximum, saturated ideals, and non-regular ultrafilters. I. Zbl 0674.03010
Foreman, M.; Magidor, M.; Shelah, Saharon
6
1989
The complexity of the collection of measure-distal transformations. Zbl 0869.58032
Beleznay, Ferenc; Foreman, Matthew
5
1996
On the conjugacy relation in ergodic theory. Zbl 1115.28002
Foreman, Matthew D.; Rudolph, Daniel J.; Weiss, Benjamin
5
2006
Handbook of set theory. In 3 volumes. Zbl 1197.03001
Foreman, Matthew (ed.); Kanamori, Akihiro (ed.)
5
2010
Banach-Tarski paradox using pieces with the property of Baire. Zbl 0768.04002
Dougherty, Randall; Foreman, Matthew
4
1992
Generic large cardinals: New axioms for mathematics? Zbl 0917.03022
Foreman, Matthew
4
1998
Has the continuum hypothesis been settled? Zbl 1107.03061
Foreman, Matthew
4
2006
The collection of distal flows is not Borel. Zbl 0855.54049
Beleznay, Ferenc; Foreman, Matthew
3
1995
A partition relation for successors of large cardinals. Zbl 1024.03050
Foreman, Matthew; Hajnal, Andras
3
2003
\(0^{\#}\) and some forcing principles. Zbl 0617.03028
Foreman, Matthew; Magidor, Menachem; Shelah, Saharon
3
1986
A symbolic representation for Anosov-Katok systems. Zbl 1429.37003
Foreman, Matthew; Weiss, Benjamin
3
2019
Some problems in singular cardinals combinatorics. Zbl 1092.03022
Foreman, Matthew
3
2005
Organic and tight. Zbl 1165.03029
Cummings, J.; Foreman, M.; Schimmerling, E.
3
2009
The spectrum of the \(\Gamma\)-invariant of a bilinear space. Zbl 0869.03030
Baumgartner, James E.; Foreman, Matthew; Spinas, Otmar
2
1997
What is \(\ldots\) a Borel reduction? Zbl 1402.03069
Foreman, Matthew
1
2018
On invariants for \(\omega_ 1\)-separable groups. Zbl 0842.03028
Eklof, Paul C.; Foreman, Matthew; Shelah, Saharon
1
1995
Chang’s conjecture, generic elementary embeddings and inner models for huge cardinals. Zbl 1371.03054
Foreman, Matthew
1
2015
Models for measure preserving transformations. Zbl 1193.28014
Foreman, Matthew
1
2010
Forbidden intervals. Zbl 1191.03033
Foreman, Matthew
1
2009
A symbolic representation for Anosov-Katok systems. Zbl 1429.37003
Foreman, Matthew; Weiss, Benjamin
3
2019
What is \(\ldots\) a Borel reduction? Zbl 1402.03069
Foreman, Matthew
1
2018
Chang’s conjecture, generic elementary embeddings and inner models for huge cardinals. Zbl 1371.03054
Foreman, Matthew
1
2015
Calculating quotient algebras of generic embeddings. Zbl 1270.03092
Foreman, Matthew
9
2013
The conjugacy problem in ergodic theory. Zbl 1243.37006
Foreman, Matthew; Rudolph, Daniel J.; Weiss, Benjamin
20
2011
Ideals and generic elementary embeddings. Zbl 1198.03050
Foreman, Matthew
43
2010
Diagonal Prikry extensions. Zbl 1245.03078
Cummings, James; Foreman, Matthew
14
2010
Handbook of set theory. In 3 volumes. Zbl 1197.03001
Foreman, Matthew; Kanamori, Akihiro
5
2010
Models for measure preserving transformations. Zbl 1193.28014
Foreman, Matthew
1
2010
Smoke and mirrors: combinatorial properties of small cardinals equiconsistent with huge cardinals. Zbl 1178.03068
Foreman, Matthew
7
2009
Organic and tight. Zbl 1165.03029
Cummings, J.; Foreman, M.; Schimmerling, E.
3
2009
Forbidden intervals. Zbl 1191.03033
Foreman, Matthew
1
2009
Canonical structure in the universe of set theory. II. Zbl 1096.03060
Cummings, James; Foreman, Matthew; Magidor, Menachem
20
2006
On the conjugacy relation in ergodic theory. Zbl 1115.28002
Foreman, Matthew D.; Rudolph, Daniel J.; Weiss, Benjamin
5
2006
Has the continuum hypothesis been settled? Zbl 1107.03061
Foreman, Matthew
4
2006
A new Löwenheim-Skolem theorem. Zbl 1082.03034
Foreman, Matthew; Todorcevic, Stevo
17
2005
The club guessing ideal: commentary on a theorem of Gitik and Shelah. Zbl 1081.03047
Foreman, Matthew; Komjath, Peter
9
2005
Some problems in singular cardinals combinatorics. Zbl 1092.03022
Foreman, Matthew
3
2005
An anti-classification theorem for ergodic measure preserving transformations. Zbl 1063.37004
Foreman, Matthew; Weiss, Benjamin
27
2004
Canonical structure in the universe of set theory. I. Zbl 1058.03051
Cummings, James; Foreman, Matthew; Magidor, Menachem
21
2004
The non-compactness of square. Zbl 1069.03032
Cummings, James; Foreman, Matthew; Magidor, Menachem
7
2003
A partition relation for successors of large cardinals. Zbl 1024.03050
Foreman, Matthew; Hajnal, Andras
3
2003
Stationary sets, Chang’s conjecture and partition theory. Zbl 1013.03049
Foreman, Matthew
6
2002
Squares, scales and stationary reflection. Zbl 0988.03075
Cummings, James; Foreman, Matthew; Magidor, Menachem
105
2001
Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\). Zbl 1017.03022
Foreman, Matthew; Magidor, Menachem
24
2001
The consistency strength of successive cardinals with the tree property. Zbl 0994.03042
Foreman, Matthew; Magidor, Menachem; Schindler, Ralf-Dieter
7
2001
A descriptive view of ergodic theory. Zbl 0962.03043
Foreman, Matthew
7
2000
The tree property. Zbl 0949.03039
Cummings, James; Foreman, Matthew
35
1998
An \(\aleph_1\)-dense ideal on \(\aleph_2\). Zbl 0919.03039
Foreman, Matthew
6
1998
Generic large cardinals: New axioms for mathematics? Zbl 0917.03022
Foreman, Matthew
4
1998
A very weak square principle. Zbl 0880.03022
Foreman, Matthew; Magidor, Menachem
41
1997
The spectrum of the \(\Gamma\)-invariant of a bilinear space. Zbl 0869.03030
Baumgartner, James E.; Foreman, Matthew; Spinas, Otmar
2
1997
The complexity of the collection of measure-distal transformations. Zbl 0869.58032
Beleznay, Ferenc; Foreman, Matthew
5
1996
Large cardinals and definable counterexamples to the continuum hypothesis. Zbl 0837.03040
Foreman, Matthew; Magidor, Menachem
42
1995
The collection of distal flows is not Borel. Zbl 0855.54049
Beleznay, Ferenc; Foreman, Matthew
3
1995
On invariants for \(\omega_ 1\)-separable groups. Zbl 0842.03028
Eklof, Paul C.; Foreman, Matthew; Shelah, Saharon
1
1995
Banach-Tarski decompositions using sets with the property of Baire. Zbl 0795.28003
Dougherty, Randall; Foreman, Matthew
8
1994
Banach-Tarski paradox using pieces with the property of Baire. Zbl 0768.04002
Dougherty, Randall; Foreman, Matthew
4
1992
The generalized continuum hypothesis can fail everywhere. Zbl 0718.03040
Foreman, Matthew; Woodin, W. Hugh
38
1991
The Hahn-Banach theorem implies the existence of a non-Lebesgue measurable set. Zbl 0792.28005
Foreman, Matthew; Wehrung, Friedrich
6
1991
Correction to: “Martin’s maximum, saturated ideals, and non-regular ultrafilters. I. Zbl 0674.03010
Foreman, M.; Magidor, M.; Shelah, Saharon
6
1989
Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Zbl 0645.03028
Foreman, M.; Magidor, M.; Shelah, Saharon
155
1988
Some downwards transfer properties for \(\aleph _ 2\). Zbl 0659.03033
Foreman, Matthew; Laver, Richard
13
1988
Potent axioms. Zbl 0614.03051
Foreman, Matthew
21
1986
\(0^{\#}\) and some forcing principles. Zbl 0617.03028
Foreman, Matthew; Magidor, Menachem; Shelah, Saharon
3
1986
Games played on Boolean algebras. Zbl 0536.03033
Foreman, Matthew
18
1983
More saturated ideals. Zbl 0536.03032
Foreman, Matthew
10
1983
Large cardinals and strong model theoretic transfer properties. Zbl 0494.03034
Foreman, Matthew
13
1982
all top 5

Cited by 270 Authors

32 Shelah, Saharon
23 Foreman, Matthew D.
21 Cummings, James
20 Apter, Arthur W.
18 Magidor, Menachem
17 Rinot, Assaf
16 Friedman, Sy-David
16 Sinapova, Dima
14 Gitik, Moti
14 Krueger, John
14 Unger, Spencer T.
13 Matet, Pierre
12 Cox, Sean D.
11 Asperó, David
11 Lambie-Hanson, Chris
11 Todorcevic, Stevo B.
10 Schindler, Ralf-Dieter
9 Hayut, Yair
9 Larson, Paul B.
9 Zapletal, Jindřich
8 Eskew, Monroe
8 Honzik, Radek
8 Neeman, Itay
8 Viale, Matteo
7 Moore, Justin Tatch
6 Schimmerling, Ernest
6 Tall, Franklin D.
6 Yoshinobu, Yasuo
5 Fuchino, Sakaé
5 Fuchs, Gunter
5 Ishiu, Tetsuya
5 Matsubara, Yo
5 Sakai, Hiroshi
5 Shioya, Masahiro
5 Stejskalová, Šárka
5 Torres Pérez, Víctor
5 Usuba, Toshimichi
5 Zeman, Martin
4 Bagaria, Joan
4 Brooke-Taylor, Andrew D.
4 Cody, Brent M.
4 Dobrinen, Natasha L.
4 Džamonja, Mirna
4 Fontanella, Laura
4 Geschke, Stefan
4 Golshani, Mohammad
4 Hamkins, Joel David
4 Hill, Aaron
4 Jech, Thomas J.
4 König, Bernhard
4 Levine, Maxwell
4 Melleray, Julien
4 Merimovich, Carmi
4 Sargsyan, Grigor
4 Velickovic, Boban
4 Weiss, Benjamin
3 Ben-Neria, Omer
3 Burke, Douglas R.
3 Conley, Clinton Taylor
3 Coskey, Samuel
3 Dimonte, Vincenzo
3 Gao, Su
3 Goldring, Noa
3 Kanamori, Akihiro
3 Koepke, Peter
3 Kojman, Menachem
3 Lücke, Philipp Moritz
3 Lupini, Martino
3 Marks, Andrew S.
3 Rudolph, Daniel J.
3 Soukup, Lajos
3 Steel, John R.
3 Törnquist, Asger
3 Wehrung, Friedrich
3 Welch, Philip D.
3 Wu, Liuzhen
2 Barton, Neil
2 Bingham, Nicholas Hugh
2 Bowen, Lewis Phylip
2 Brodsky, Ari Meir
2 Chen, William Barry
2 Di Prisco, Carlos Augusto
2 Du, Jin
2 Eisworth, Todd
2 Ellis, Paul
2 Feng, Qi
2 Garti, Shimon
2 Gitman, Victoria
2 Hachtman, Sherwood
2 Holy, Peter
2 Hrušák, Michael
2 Huberich, Markus
2 Kanovei, Vladimir G.
2 Katz, Mikhail G.
2 Komjáth, Péter
2 Levinski, Jean-Pierre
2 Martin, Donald A.
2 Milovich, David
2 Mormann, Thomas
2 Ostaszewski, Adam J.
...and 170 more Authors
all top 5

Cited in 71 Serials

82 The Journal of Symbolic Logic
79 Annals of Pure and Applied Logic
59 Archive for Mathematical Logic
47 Israel Journal of Mathematics
23 Transactions of the American Mathematical Society
21 Proceedings of the American Mathematical Society
18 Topology and its Applications
16 Advances in Mathematics
16 Journal of Mathematical Logic
15 The Bulletin of Symbolic Logic
14 Mathematical Logic Quarterly (MLQ)
12 Notre Dame Journal of Formal Logic
6 Fundamenta Mathematicae
6 Ergodic Theory and Dynamical Systems
4 Journal of Pure and Applied Algebra
4 Journal of the American Mathematical Society
3 Journal d’Analyse Mathématique
3 Journal of Functional Analysis
2 Studia Mathematica
2 Acta Mathematica
2 Bulletin of the American Mathematical Society. New Series
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 European Journal of Mathematics
2 Bollettino dell’Unione Matematica Italiana
1 Communications in Algebra
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Mathematische Semesterberichte
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 The Mathematical Intelligencer
1 Annales de l’Institut Fourier
1 The Annals of Probability
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Commentationes Mathematicae Universitatis Carolinae
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of the Mathematical Society of Japan
1 Journal of Philosophical Logic
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Synthese
1 Transactions of the Moscow Mathematical Society
1 Zeitschrift für Analysis und ihre Anwendungen
1 Combinatorica
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Science in China. Series A
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Indagationes Mathematicae. New Series
1 Matematychni Studiï
1 Foundations of Science
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Contributions to Discrete Mathematics
1 Journal of Noncommutative Geometry
1 Groups, Geometry, and Dynamics
1 Journal of Modern Dynamics
1 Confluentes Mathematici
1 The Review of Symbolic Logic
1 Forum of Mathematics, Pi
1 Forum of Mathematics, Sigma

Citations by Year

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