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Author ID: kanamori.akihiro Recent zbMATH articles by "Kanamori, Akihiro"
Published as: Kanamori, Akihiro
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Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 686 times in 608 Documents Cited by Year
The higher infinite. Large cardinals in set theory from their beginnings. 2nd ed. Zbl 1022.03033
Kanamori, Akihiro
150
2003
Strong axioms of infinity and elementary embeddings. Zbl 0376.02055
Solovay, Robert M.; Reinhardt, William N.; Kanamori, Akihiro
148
1978
The higher infinite: large cardinals in set theory from their beginnings. Zbl 0813.03034
Kanamori, Akihiro
125
1994
The higher infinite. Large cardinals in set theory from their beginnings. Paperback reprint of the 2003 second edition. Zbl 1154.03033
Kanamori, Akihiro
79
2009
The evolution of large cardinal axioms in set theory. Zbl 0381.03038
Kanamori, A.; Magidor, M.
72
1978
Perfect-set forcing for uncountable cardinals. Zbl 0453.03056
Kanamori, Akihiro
38
1980
On Gödel incompleteness and finite combinatorics. Zbl 0627.03041
Kanamori, Akihiro; McAloon, Kenneth
29
1987
Weakly normal filters and irregular ultrafilters. Zbl 0341.02058
Kanamori, A.
15
1976
The mathematical import of Zermelo’s well-ordering theorem. Zbl 0903.03030
Kanamori, Akihiro
14
1997
Ultrafilters over a measurable cardinal. Zbl 0345.02050
Kanamori, A.
13
1976
The mathematical development of set theory from Cantor to Cohen. Zbl 0851.04001
Kanamori, Akihiro
10
1996
Handbook of set theory. In 3 volumes. Zbl 1197.03001
10
2010
Zermelo and set theory. Zbl 1098.03004
Kanamori, Akihiro
10
2004
Levy and set theory. Zbl 1089.03004
Kanamori, Akihiro
9
2006
Collected works. Volume I: Set theory, miscellanea. Edited by Heinz-Dieter Ebbinghaus and Akihiro Kanamori. (Gesammelte Werke. Band I: Mengenlehre, Varia.) Zbl 1185.01054
Zermelo, Ernst
7
2010
Cohen and set theory. Zbl 1174.03001
Kanamori, Akihiro
7
2008
Hilbert and set theory. Zbl 0933.01015
Dreben, Burton; Kanamori, Akihiro
6
1997
The empty set, the singleton, and the ordered pair. Zbl 1069.03001
Kanamori, Akihiro
6
2003
Finest partitions for ultrafilters. Zbl 0634.03044
Kanamori, Akihiro
5
1986
In praise of replacement. Zbl 1258.03001
Kanamori, Akihiro
4
2012
Bernays and set theory. Zbl 1172.03002
Kanamori, Akihiro
4
2009
Partition relations for successor cardinals. Zbl 0626.03039
Kanamori, Akihiro
3
1986
Regressive partition relations for infinite cardinals. Zbl 0627.03031
Hajnal, András; Kanamori, Akihiro; Shelah, Saharon
3
1987
Morasses in combinatorial set theory. Zbl 0525.03036
Kanamori, Akihiro
3
1983
Sets and extensions in the twentieth century. Zbl 1236.03005
3
2012
Regressive partition relations, \(n\)-subtle cardinals, and Borel diagonalization. Zbl 0745.03038
Kanamori, Akihiro
3
1991
On Vopenka’s and related principles. Zbl 0453.03055
Kanamori, A.
3
1978
Diamonds, large cardinals, and ultrafilters. Zbl 0635.03047
Kanamori, Akihiro
2
1988
Collected works. Volume II: Calculus of variations, applied mathematics, and physics. Edited by Heinz-Dieter Ebbinghaus and Akihiro Kanamori. (Gesammelte Werke. Band II: Variationsrechnung, Angewandte Mathematik und Physik.) Zbl 1277.01030
Zermelo, Ernst
2
2013
On Silver’s and related principles. Zbl 0495.03033
Kanamori, Akihiro
2
1982
Morass-level combinatorial principles. Zbl 0522.03033
Kanamori, A.
2
1982
Historical remarks on Suslin’s problem. Zbl 1258.03067
Kanamori, Akihiro
2
2011
Some combinatorics involving ultrafilters. Zbl 0402.03044
Kanamori, A.
2
1978
Erdős and set theory. Zbl 1345.03006
Kanamori, Akihiro
2
2014
Mathias and set theory. Zbl 1338.03002
Kanamori, Akihiro
2
2016
Does GCH imply AC locally? Zbl 1030.03041
Kanamori, A.; Pincus, D.
2
2002
Set theory from Cantor to Cohen. Zbl 1255.03006
Kanamori, Akihiro
1
2012
Kunen and set theory. Zbl 1229.03001
Kanamori, Akihiro
1
2011
Gödel and set theory. Zbl 1145.03002
Kanamori, Akihiro
1
2007
Regressive partitions and Borel diagonalization. Zbl 0704.03031
Kanamori, Akihiro
1
1989
2004-05 Winter Meeting of the Association for Symbolic Logic, Atlanta Marriott Marquis, Atlanta, Georgia, January 7–8, 2005. Zbl 1080.03501
1
2005
On p-points over a measurable cardinal. Zbl 0462.03013
Kanamori, A.
1
1981
The mathematical infinite as a matter of method. Zbl 1275.00021
Kanamori, Akihiro
1
2012
Mathematical knowledge: Motley and complexity of proof. Zbl 1287.00013
Kanamori, Akihiro
1
2013
Mathias and set theory. Zbl 1338.03002
Kanamori, Akihiro
2
2016
Erdős and set theory. Zbl 1345.03006
Kanamori, Akihiro
2
2014
Collected works. Volume II: Calculus of variations, applied mathematics, and physics. Edited by Heinz-Dieter Ebbinghaus and Akihiro Kanamori. (Gesammelte Werke. Band II: Variationsrechnung, Angewandte Mathematik und Physik.) Zbl 1277.01030
Zermelo, Ernst
2
2013
Mathematical knowledge: Motley and complexity of proof. Zbl 1287.00013
Kanamori, Akihiro
1
2013
In praise of replacement. Zbl 1258.03001
Kanamori, Akihiro
4
2012
Sets and extensions in the twentieth century. Zbl 1236.03005
3
2012
Set theory from Cantor to Cohen. Zbl 1255.03006
Kanamori, Akihiro
1
2012
The mathematical infinite as a matter of method. Zbl 1275.00021
Kanamori, Akihiro
1
2012
Historical remarks on Suslin’s problem. Zbl 1258.03067
Kanamori, Akihiro
2
2011
Kunen and set theory. Zbl 1229.03001
Kanamori, Akihiro
1
2011
Handbook of set theory. In 3 volumes. Zbl 1197.03001
10
2010
Collected works. Volume I: Set theory, miscellanea. Edited by Heinz-Dieter Ebbinghaus and Akihiro Kanamori. (Gesammelte Werke. Band I: Mengenlehre, Varia.) Zbl 1185.01054
Zermelo, Ernst
7
2010
The higher infinite. Large cardinals in set theory from their beginnings. Paperback reprint of the 2003 second edition. Zbl 1154.03033
Kanamori, Akihiro
79
2009
Bernays and set theory. Zbl 1172.03002
Kanamori, Akihiro
4
2009
Cohen and set theory. Zbl 1174.03001
Kanamori, Akihiro
7
2008
Gödel and set theory. Zbl 1145.03002
Kanamori, Akihiro
1
2007
Levy and set theory. Zbl 1089.03004
Kanamori, Akihiro
9
2006
2004-05 Winter Meeting of the Association for Symbolic Logic, Atlanta Marriott Marquis, Atlanta, Georgia, January 7–8, 2005. Zbl 1080.03501
1
2005
Zermelo and set theory. Zbl 1098.03004
Kanamori, Akihiro
10
2004
The higher infinite. Large cardinals in set theory from their beginnings. 2nd ed. Zbl 1022.03033
Kanamori, Akihiro
150
2003
The empty set, the singleton, and the ordered pair. Zbl 1069.03001
Kanamori, Akihiro
6
2003
Does GCH imply AC locally? Zbl 1030.03041
Kanamori, A.; Pincus, D.
2
2002
The mathematical import of Zermelo’s well-ordering theorem. Zbl 0903.03030
Kanamori, Akihiro
14
1997
Hilbert and set theory. Zbl 0933.01015
Dreben, Burton; Kanamori, Akihiro
6
1997
The mathematical development of set theory from Cantor to Cohen. Zbl 0851.04001
Kanamori, Akihiro
10
1996
The higher infinite: large cardinals in set theory from their beginnings. Zbl 0813.03034
Kanamori, Akihiro
125
1994
Regressive partition relations, \(n\)-subtle cardinals, and Borel diagonalization. Zbl 0745.03038
Kanamori, Akihiro
3
1991
Regressive partitions and Borel diagonalization. Zbl 0704.03031
Kanamori, Akihiro
1
1989
Diamonds, large cardinals, and ultrafilters. Zbl 0635.03047
Kanamori, Akihiro
2
1988
On Gödel incompleteness and finite combinatorics. Zbl 0627.03041
Kanamori, Akihiro; McAloon, Kenneth
29
1987
Regressive partition relations for infinite cardinals. Zbl 0627.03031
Hajnal, András; Kanamori, Akihiro; Shelah, Saharon
3
1987
Finest partitions for ultrafilters. Zbl 0634.03044
Kanamori, Akihiro
5
1986
Partition relations for successor cardinals. Zbl 0626.03039
Kanamori, Akihiro
3
1986
Morasses in combinatorial set theory. Zbl 0525.03036
Kanamori, Akihiro
3
1983
On Silver’s and related principles. Zbl 0495.03033
Kanamori, Akihiro
2
1982
Morass-level combinatorial principles. Zbl 0522.03033
Kanamori, A.
2
1982
On p-points over a measurable cardinal. Zbl 0462.03013
Kanamori, A.
1
1981
Perfect-set forcing for uncountable cardinals. Zbl 0453.03056
Kanamori, Akihiro
38
1980
Strong axioms of infinity and elementary embeddings. Zbl 0376.02055
Solovay, Robert M.; Reinhardt, William N.; Kanamori, Akihiro
148
1978
The evolution of large cardinal axioms in set theory. Zbl 0381.03038
Kanamori, A.; Magidor, M.
72
1978
On Vopenka’s and related principles. Zbl 0453.03055
Kanamori, A.
3
1978
Some combinatorics involving ultrafilters. Zbl 0402.03044
Kanamori, A.
2
1978
Weakly normal filters and irregular ultrafilters. Zbl 0341.02058
Kanamori, A.
15
1976
Ultrafilters over a measurable cardinal. Zbl 0345.02050
Kanamori, A.
13
1976
all top 5

Cited by 404 Authors

41 Apter, Arthur W.
27 Friedman, Sy-David
26 Shelah, Saharon
15 Bagaria, Joan
15 Kanamori, Akihiro
15 Magidor, Menachem
13 Honzik, Radek
12 Lücke, Philipp Moritz
11 Gitik, Moti
10 Müller, Sandra
10 Usuba, Toshimichi
9 Cody, Brent M.
9 Cummings, James
9 Fischer, Vera
9 Schlicht, Philipp
8 Eskew, Monroe
8 Hayut, Yair
8 Löwe, Benedikt
8 Rinot, Assaf
7 Larson, Paul B.
7 Tall, Franklin D.
7 Welch, Philip D.
6 Aguilera, Juan Pablo
6 Barbanel, Julius B.
6 Brooke-Taylor, Andrew D.
6 Dimonte, Vincenzo
6 Fontanella, Laura
6 Garti, Shimon
6 Gitman, Victoria
6 Schindler, Ralf-Dieter
6 Schrittesser, David
6 Wilson, Trevor Miles
6 Woodin, W. Hugh
5 Brodsky, Ari Meir
5 Cox, Sean D.
5 Džamonja, Mirna
5 Foreman, Matthew D.
5 Hamkins, Joel David
5 Holy, Peter
5 Khomskii, Yurii Daniilovich
5 Lambie-Hanson, Chris
5 Laver, Richard Joseph
5 Meadows, Toby
5 Ternullo, Claudio
5 Weiermann, Andreas
4 Cunningham, Daniel Wendell
4 Dehornoy, Patrick
4 Farah, Ilijas
4 Finkel, Olivier
4 Fuchino, Sakaé
4 Goldberg, Gabriel
4 Kaplan, Itay
4 Lee, Gyesik
4 Poveda, Alejandro
4 Sakai, Hiroshi
4 Sargsyan, Grigor
4 Schimmerling, Ernest
4 Shani, Assaf
4 Todorcevic, Stevo B.
4 Zeman, Martin
3 Abe, Yoshihiro
3 Asperó, David
3 Baldwin, Stewart L.
3 Barton, Neil
3 Becker, Howard S.
3 Bergfalk, Jeffrey
3 Boney, Will
3 Carl, Merlin
3 Carroy, Raphaël
3 Corazza, Paul
3 Cutolo, Raffaella
3 Di Prisco, Carlos Augusto
3 Dobrinen, Natasha L.
3 Fuchs, Gunter
3 Hathaway, Dan
3 Ikegami, Daisuke
3 Kojman, Menachem
3 Köllner, Peter
3 Kunen, Kenneth
3 Laguzzi, Giorgio
3 Lipparini, Paolo
3 Lopez-Abad, Jordi
3 Maddy, Penelope J.
3 Matet, Pierre
3 Mathias, Adrian R. D.
3 Matsubara, Yo
3 Medini, Andrea
3 Montoya, Diana Carolina
3 Moore, Justin Tatch
3 Motto Ros, Luca
3 Ostaszewski, Adam J.
3 Raghavan, Dilip
3 Rathjen, Michael
3 Rodrigues, André Ottenbreit Maschio
3 Rosłanowski, Andrzej
3 Shioya, Masahiro
3 Sinapova, Dima
3 Spector, Mitchell
3 Törnquist, Asger
3 Trang, Nam
...and 304 more Authors
all top 5

Cited in 81 Serials

89 The Journal of Symbolic Logic
79 Annals of Pure and Applied Logic
59 Archive for Mathematical Logic
33 Israel Journal of Mathematics
31 Mathematical Logic Quarterly (MLQ)
27 Proceedings of the American Mathematical Society
25 Journal of Mathematical Logic
23 The Bulletin of Symbolic Logic
22 Transactions of the American Mathematical Society
20 Fundamenta Mathematicae
15 Notre Dame Journal of Formal Logic
15 Topology and its Applications
15 The Review of Symbolic Logic
12 Advances in Mathematics
6 Journal of Combinatorial Theory. Series A
6 Synthese
4 Journal of the Mathematical Society of Japan
4 Journal of Pure and Applied Algebra
4 Memoirs of the American Mathematical Society
4 Acta Mathematica Hungarica
3 History and Philosophy of Logic
3 Order
3 Forum of Mathematics, Sigma
3 Bollettino dell’Unione Matematica Italiana
2 Archiv für Mathematische Logik und Grundlagenforschung
2 Rocky Mountain Journal of Mathematics
2 Journal of Philosophical Logic
2 Tsukuba Journal of Mathematics
2 Journal of the American Mathematical Society
2 Bulletin of the Polish Academy of Sciences, Mathematics
2 Journal of Mathematical Sciences (New York)
2 Annals of Mathematics. Second Series
2 Logica Universalis
2 Logical Methods in Computer Science
2 RAIRO. Theoretical Informatics and Applications
2 Forum of Mathematics, Pi
2 European Journal of Mathematics
1 Archive for History of Exact Sciences
1 Communications in Algebra
1 Discrete Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Russian Mathematical Surveys
1 Acta Mathematica
1 Algebra and Logic
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Journal of Approximation Theory
1 Mathematische Annalen
1 Mathematika
1 Proceedings of the Japan Academy. Series A
1 Real Analysis Exchange
1 Siberian Mathematical Journal
1 Studia Logica
1 European Journal of Combinatorics
1 Combinatorica
1 Information and Computation
1 Differential Geometry and its Applications
1 International Journal of Foundations of Computer Science
1 Historia Mathematica
1 Proceedings of the National Academy of Sciences of the United States of America
1 Journal of Logic, Language and Information
1 Combinatorics, Probability and Computing
1 Turkish Journal of Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Erkenntnis
1 Journal of the European Mathematical Society (JEMS)
1 Communications of the Korean Mathematical Society
1 Miscelánea Matemática
1 Logic and Logical Philosophy
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Central European Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Sarajevo Journal of Mathematics
1 SIAM Journal on Financial Mathematics
1 Journal of Logic and Analysis
1 Axiomathes
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Transactions of the American Mathematical Society. Series B

Citations by Year

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