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## Apter, Arthur W.

Compute Distance To:
 Author ID: apter.arthur-w Published as: Apter, Arthur W.; Apter, Arthur; Apter, A. W.; Apter, A.
 Documents Indexed: 146 Publications since 1973, including 1 Book
all top 5

#### Co-Authors

 99 single-authored 8 Cummings, James 7 Hamkins, Joel David 7 Sargsyan, Grigor 6 Henle, James M. 6 Koepke, Peter 4 Gitik, Moti 3 Friedman, Shoshana 2 Di Prisco, Carlos Augusto 2 Dimitriou, Ioanna Matilde 2 Jackson, Stephen C. 2 Shelah, Saharon 2 Zwicker, William S. 1 Adolf, Dominik Thomas 1 Cody, Brent M. 1 Dimopoulos, Stamatis 1 Džamonja, Mirna 1 Genete, M. 1 Gitman, Victoria 1 Groszek, Marcia J. 1 Löwe, Benedikt 1 Magidor, Menachem 1 Pajon, P. 1 Sauvan, J. 1 Usuba, Toshimichi
all top 5

#### Serials

 29 Mathematical Logic Quarterly (MLQ) 25 Archive for Mathematical Logic 19 The Journal of Symbolic Logic 14 Bulletin of the Polish Academy of Sciences, Mathematics 13 Fundamenta Mathematicae 10 Annals of Pure and Applied Logic 5 Israel Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 3 Notre Dame Journal of Formal Logic 2 Bulletin of the London Mathematical Society 2 Colloquium Mathematicum 2 Kobe Journal of Mathematics 2 Sarajevo Journal of Mathematics 1 Acta Cientifica Venezolana 1 Advances in Mathematics 1 Canadian Mathematical Bulletin 1 Journal of the Mathematical Society of Japan 1 Pacific Journal of Mathematics 1 Radovi Matematički 1 Automation and Remote Control 1 Central European Journal of Mathematics 1 Tbilisi Mathematical Journal 1 Bollettino dell’Unione Matematica Italiana

#### Fields

 144 Mathematical logic and foundations (03-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

103 Publications have been cited 419 times in 138 Documents Cited by Year
On the strong equality between supercompactness and strong compactness. Zbl 0864.03036
Apter, Arthur W.; Shelah, Saharon
1997
Identity crises and strong compactness. II: Strong cardinals. Zbl 0980.03057
Apter, Arthur W.; Cummings, James
2001
Identity crises and strong compactness. Zbl 0974.03044
Apter, Arthur W.; Cummings, James
2000
The least measurable can be strongly compact and indestructible. Zbl 0926.03067
Apter, Arthur W.; Gitik, Moti
1998
Indestructibility and the level-by-level agreement between strong compactness and supercompactness. Zbl 1010.03043
Apter, Arthur W.; Hamkins, Joel David
2002
Some results on consecutive large cardinals. II: Applications of Radin forcing. Zbl 0603.03016
Apter, Arthur W.
1985
Menas’ result is best possible. Zbl 0876.03030
Apter, Arthur W.; Shelah, Saharon
1997
Some results on consecutive large cardinals. Zbl 0548.03030
Apter, Arthur W.
1983
Laver indestructibility and the class of compact cardinals. Zbl 0899.03038
Apter, Arthur W.
1998
Patterns of compact cardinals. Zbl 0890.03026
Apter, Arthur W.
1997
Universal indestructibility. Zbl 0953.03060
Apter, Arthur W.; Hamkins, Joel David
1999
Indestructible weakly compact cardinals and the necessity of supercompactness for certain proof schemata. Zbl 0992.03064
Apter, Arthur W.; Hamkins, Joel David
2001
Large cardinals with few measures. Zbl 1115.03075
Apter, Arthur W.; Cummings, James; Hamkins, Joel David
2007
$$\text{AD}$$ and patterns of singular cardinals below $$\Theta$$. Zbl 0855.03029
Apter, Arthur W.
1996
Successors of singular cardinals and measurability. Zbl 0615.03040
Apter, Arthur W.
1985
Some new upper bounds in consistency strength for certain choiceless large cardinal patterns. Zbl 0755.03028
Apter, Arthur W.
1992
Relative consistency results via strong compactness. Zbl 0787.03040
Apter, Arthur W.; Henle, James M.
1991
On level by level equivalence and inequivalence between strong compactness and supercompactness. Zbl 0988.03074
Apter, Arthur W.
2002
Indestructibility and level by level equivalence and inequivalence. Zbl 1115.03074
Apter, Arthur W.
2007
On the least strongly compact cardinal. Zbl 0457.03052
Apter, Arthur W.
1980
A global version of a theorem of Ben-David and Magidor. Zbl 0948.03049
Apter, Arthur W.; Cummings, James
2000
Exactly controlling the non-supercompact strongly compact cardinals. Zbl 1056.03030
Apter, Arthur W.; Hamkins, Joel David
2003
Diamond, square, and level by level equivalence. Zbl 1068.03038
Apter, Arthur W.
2005
Indestructibility and measurable cardinals with few and many measures. Zbl 1153.03031
Apter, Arthur W.
2008
Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness. Zbl 1110.03038
Apter, Arthur W.
2007
Some remarks on indestructibility and Hamkins’ lottery preparation. Zbl 1045.03041
Apter, Arthur W.
2003
Large cardinal structures below $$\aleph _{\omega}$$. Zbl 0634.03050
Apter, Arthur W.; Henle, James M.
1986
Strong compactness, measurability, and the class of supercompact cardinals. Zbl 0981.03053
Apter, Arthur W.
2001
Tallness and level by level equivalence and inequivalence. Zbl 1184.03050
Apter, Arthur W.
2010
Indestructible strong compactness but not supercompactness. Zbl 1250.03092
Apter, Arthur W.; Gitik, Moti; Sargsyan, Grigor
2012
Failures of SCH and level by level equivalence. Zbl 1115.03072
Apter, Arthur W.
2006
The least strongly compact can be the least strong and indestructible. Zbl 1115.03073
Apter, Arthur W.
2006
Coding into HOD via normal measures with some applications. Zbl 1270.03089
Apter, Arthur W.; Friedman, Shoshana
2011
Indestructibility and stationary reflection. Zbl 1165.03042
Apter, Arthur W.
2009
On a problem of Woodin. Zbl 0958.03034
Apter, Arthur W.
2000
On the first $$n$$ strongly compact cardinals. Zbl 0823.03029
Apter, Arthur W.
1995
Some structural results concerning supercompact cardinals. Zbl 0994.03045
Apter, Arthur W.
2001
Characterizing strong compactness via strongness. Zbl 1022.03034
Apter, Arthur W.
2003
Failures of GCH and the level by level equivalence between strong compactness and supercompactness. Zbl 1035.03024
Apter, Arthur W.
2003
On a problem inspired by determinacy. Zbl 0661.03040
Apter, Arthur W.
1988
Some remarks on normal measures and measurable cardinals. Zbl 0969.03062
Apter, Arthur W.
2001
Supercompactness and measurable limits of strong cardinals. Zbl 0989.03053
Apter, Arthur W.
2001
Successors of singular cardinals and measurability revisited. Zbl 0787.03039
Apter, Arthur W.
1990
On box, weak box and strong compactness. Zbl 0801.03034
Apter, Arthur W.; Henle, James M.
1992
An equiconsistency for universal indestructibility. Zbl 1184.03051
Apter, Arthur W.; Sargsyan, Grigor
2010
On tall cardinals and some related generalizations. Zbl 1341.03076
Apter, Arthur W.; Gitik, Moti
2014
An $$L$$-like model containing very large cardinals. Zbl 1145.03031
Apter, Arthur W.; Cummings, James
2008
Inner models with large cardinal features usually obtained by forcing. Zbl 1250.03104
Apter, Arthur W.; Gitman, Victoria; Hamkins, Joel David
2012
Identity crises and strong compactness. III: Woodin cardinals. Zbl 1086.03037
Apter, Arthur W.; Sargsyan, Grigor
2006
Supercompactness and measurable limits of strong cardinals. II: Applications to level by level equivalence. Zbl 1168.03331
Apter, Arthur W.
2006
Apter, Arthur W.
1985
Indestructibility, instances of strong compactness, and level by level inequivalence. Zbl 1208.03052
Apter, Arthur W.
2010
A new proof of a theorem of Magidor. Zbl 0947.03068
Apter, A. W.
2000
Strong compactness and a global version of a theorem of Ben-David and Magidor. Zbl 0965.03061
Apter, Arthur W.
2000
On the class of measurable cardinals without the axiom of choice. Zbl 0781.03036
Apter, Arthur W.
1992
Instances of dependent choice and the measurability of $$\aleph _{\omega +1}$$. Zbl 0842.03038
Apter, Arthur W.; Magidor, Menachem
1995
A cardinal pattern inspired by $$\text{AD}$$. Zbl 0857.03030
Apter, Arthur W.
1996
Strong cardinals can be fully Laver indestructible. Zbl 1011.03041
Apter, Arthur W.
2002
More on the least strongly compact cardinal. Zbl 0880.03029
Apter, Arthur W.
1997
An Easton theorem for level by level equivalence. Zbl 1068.03040
Apter, Arthur W.
2005
Indestructibility, strongness, and level by level equivalence. Zbl 1020.03048
Apter, Arthur W.
2003
Removing Laver functions from supercompactness arguments. Zbl 1061.03055
Apter, Arthur W.
2005
On a problem of Silver. Zbl 0524.03044
Apter, Arthur W.
1983
On some questions concerning strong compactness. Zbl 1261.03146
Apter, Arthur W.
2012
More Easton theorems for level by level equivalence. Zbl 1267.03051
Apter, Arthur W.
2012
The first measurable cardinal can be the first uncountable regular cardinal at any successor height. Zbl 1339.03040
Apter, Arthur W.; Dimitriou, Ioanna M.; Koepke, Peter
2014
HOD-supercompactness, indestructibility, and level by level equivalence. Zbl 1311.03073
Apter, Arthur W.; Friedman, Shoshana
2014
Indestructibility and strong compactness. Zbl 1102.03051
Apter, Arthur W.
2006
The consistency strength of $$\aleph_\omega$$ and $$\aleph_{\omega_1}$$ being Rowbottom cardinals without the axiom of choice. Zbl 1099.03038
Apter, Arthur W.; Koepke, Peter
2006
Reducing the consistency strength of an indestructibility theorem. Zbl 1140.03031
Apter, Arthur W.
2008
Indestructibility, HOD, and the ground axiom. Zbl 1225.03066
Apter, Arthur W.
2011
Level by level inequivalence beyond measurability. Zbl 1250.03090
Apter, Arthur W.
2011
Making all cardinals almost Ramsey. Zbl 1153.03022
Apter, Arthur W.; Koepke, Peter
2008
A reduction in consistency strength for universal indestructibility. Zbl 1121.03068
Apter, Arthur W.; Sargsyan, Grigor
2007
Indestructibility under adding Cohen subsets and level by level equivalence. Zbl 1165.03043
Apter, Arthur W.
2009
Some applications of Sargsyan’s equiconsistency method. Zbl 1258.03066
Apter, Arthur W.
2012
Singularizing successor cardinals by forcing. Zbl 06816425
Adolf, Dominik; Apter, Arthur W.; Koepke, Peter
2018
Indestructible strong compactness and level by level inequivalence. Zbl 1291.03093
Apter, Arthur W.
2013
On the non-extendibility of strongness and supercompactness through strong compactness. Zbl 1004.03041
Apter, Arthur W.
2002
Filter spaces. II: Limit ultraproducts and iterated embeddings. Zbl 0714.03047
Apter, Arthur; Di Prisco, Carlos A.; Henle, James; Zwicker, William
1989
Can a large cardinal be forced from a condition implying its negation? Zbl 1079.03040
Apter, Arthur W.; Sargsyan, Grigor
2005
Jonsson-like partition relations and $$j:V\to V$$. Zbl 1071.03029
Apter, Arthur W.; Sargsyan, Grigor
2004
Universal partial indestructibility and strong compactness. Zbl 1078.03039
Apter, Arthur W.
2005
Some remarks on a question of D. H. Fremlin regarding $$\varepsilon$$-density. Zbl 1021.03046
Apter, Arthur W.; Džamonja, Mirna
2001
Aspects of strong compactness, measurability, and indestructibility. Zbl 1024.03047
Apter, Arthur W.
2002
Expanding $$\kappa$$’s power in its ultrapowers. Zbl 1069.03042
Apter, Arthur W.
2001
Some results on Specker’s problem. Zbl 0657.03033
Apter, Arthur W.; Gitik, Moti
1988
Filter spaces: Towards a unified theory of large cardinal and embedding axioms. Zbl 0668.03025
Apter, Arthur; DiPrisco, Carlos; Henle, James; Zwicker, William
1989
A note on strong compactness and supercompactness. Zbl 0744.03053
Apter, Arthur W.
1991
Changing cofinalities and infinite exponents. Zbl 0491.03020
Apter, Arthur W.
1981
Measurability and degrees of strong compactness. Zbl 0491.03021
Apter, Arthur W.
1981
The calculus of partition sequences, changing cofinalities, and a question of Woodin. Zbl 0928.03056
Apter, Arthur W.; Henle, James M.; Jackson, Stephen C.
2000
Forcing the least measurable to violate GCH. Zbl 0941.03053
Apter, Arthur W.
1999
Singular failures of GCH and level by level equivalence. Zbl 06321108
Apter, Arthur W.
2014
Level by level inequivalence, strong compactness, and GCH. Zbl 1258.03073
Apter, Arthur W.
2012
The consistency strength of choiceless failures of SCH. Zbl 1202.03056
Apter, Arthur W.; Koepke, Peter
2010
How many normal measures can $$\aleph_{\omega+1}$$ carry? Zbl 1097.03045
Apter, Arthur W.
2006
Universal indestructibility is consistent with two strongly compact cardinals. Zbl 1112.03045
Apter, Arthur W.
2005
Universal indestructibility for degrees of supercompactness and strongly compact cardinals. Zbl 1153.03032
Apter, Arthur W.; Sargsyan, Grigor
2008
Level by level equivalence and the number of normal measures over $$P_\kappa(\lambda)$$. Zbl 1121.03067
Apter, Arthur W.
2007
Singularizing successor cardinals by forcing. Zbl 06816425
Adolf, Dominik; Apter, Arthur W.; Koepke, Peter
2018
On tall cardinals and some related generalizations. Zbl 1341.03076
Apter, Arthur W.; Gitik, Moti
2014
The first measurable cardinal can be the first uncountable regular cardinal at any successor height. Zbl 1339.03040
Apter, Arthur W.; Dimitriou, Ioanna M.; Koepke, Peter
2014
HOD-supercompactness, indestructibility, and level by level equivalence. Zbl 1311.03073
Apter, Arthur W.; Friedman, Shoshana
2014
Singular failures of GCH and level by level equivalence. Zbl 06321108
Apter, Arthur W.
2014
Indestructible strong compactness and level by level inequivalence. Zbl 1291.03093
Apter, Arthur W.
2013
Cofinality and measurability of the first three uncountable cardinals. Zbl 1306.03021
Apter, Arthur W.; Jackson, Stephen C.; Löwe, Benedikt
2013
Indestructible strong compactness but not supercompactness. Zbl 1250.03092
Apter, Arthur W.; Gitik, Moti; Sargsyan, Grigor
2012
Inner models with large cardinal features usually obtained by forcing. Zbl 1250.03104
Apter, Arthur W.; Gitman, Victoria; Hamkins, Joel David
2012
On some questions concerning strong compactness. Zbl 1261.03146
Apter, Arthur W.
2012
More Easton theorems for level by level equivalence. Zbl 1267.03051
Apter, Arthur W.
2012
Some applications of Sargsyan’s equiconsistency method. Zbl 1258.03066
Apter, Arthur W.
2012
Level by level inequivalence, strong compactness, and GCH. Zbl 1258.03073
Apter, Arthur W.
2012
Indestructibility, measurability, and degrees of supercompactness. Zbl 1250.03091
Apter, Arthur W.
2012
Coding into HOD via normal measures with some applications. Zbl 1270.03089
Apter, Arthur W.; Friedman, Shoshana
2011
Indestructibility, HOD, and the ground axiom. Zbl 1225.03066
Apter, Arthur W.
2011
Level by level inequivalence beyond measurability. Zbl 1250.03090
Apter, Arthur W.
2011
Tallness and level by level equivalence and inequivalence. Zbl 1184.03050
Apter, Arthur W.
2010
An equiconsistency for universal indestructibility. Zbl 1184.03051
Apter, Arthur W.; Sargsyan, Grigor
2010
Indestructibility, instances of strong compactness, and level by level inequivalence. Zbl 1208.03052
Apter, Arthur W.
2010
The consistency strength of choiceless failures of SCH. Zbl 1202.03056
Apter, Arthur W.; Koepke, Peter
2010
Indestructibility and stationary reflection. Zbl 1165.03042
Apter, Arthur W.
2009
Indestructibility under adding Cohen subsets and level by level equivalence. Zbl 1165.03043
Apter, Arthur W.
2009
Indestructibility and measurable cardinals with few and many measures. Zbl 1153.03031
Apter, Arthur W.
2008
An $$L$$-like model containing very large cardinals. Zbl 1145.03031
Apter, Arthur W.; Cummings, James
2008
Reducing the consistency strength of an indestructibility theorem. Zbl 1140.03031
Apter, Arthur W.
2008
Making all cardinals almost Ramsey. Zbl 1153.03022
Apter, Arthur W.; Koepke, Peter
2008
Universal indestructibility for degrees of supercompactness and strongly compact cardinals. Zbl 1153.03032
Apter, Arthur W.; Sargsyan, Grigor
2008
On the number of normal measures $$\aleph_1$$ and $$\aleph_2$$ can carry. Zbl 1158.03032
Apter, Arthur W.
2008
Large cardinals with few measures. Zbl 1115.03075
Apter, Arthur W.; Cummings, James; Hamkins, Joel David
2007
Indestructibility and level by level equivalence and inequivalence. Zbl 1115.03074
Apter, Arthur W.
2007
Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness. Zbl 1110.03038
Apter, Arthur W.
2007
A reduction in consistency strength for universal indestructibility. Zbl 1121.03068
Apter, Arthur W.; Sargsyan, Grigor
2007
Level by level equivalence and the number of normal measures over $$P_\kappa(\lambda)$$. Zbl 1121.03067
Apter, Arthur W.
2007
Failures of SCH and level by level equivalence. Zbl 1115.03072
Apter, Arthur W.
2006
The least strongly compact can be the least strong and indestructible. Zbl 1115.03073
Apter, Arthur W.
2006
Identity crises and strong compactness. III: Woodin cardinals. Zbl 1086.03037
Apter, Arthur W.; Sargsyan, Grigor
2006
Supercompactness and measurable limits of strong cardinals. II: Applications to level by level equivalence. Zbl 1168.03331
Apter, Arthur W.
2006
Indestructibility and strong compactness. Zbl 1102.03051
Apter, Arthur W.
2006
The consistency strength of $$\aleph_\omega$$ and $$\aleph_{\omega_1}$$ being Rowbottom cardinals without the axiom of choice. Zbl 1099.03038
Apter, Arthur W.; Koepke, Peter
2006
How many normal measures can $$\aleph_{\omega+1}$$ carry? Zbl 1097.03045
Apter, Arthur W.
2006
Diamond, square, and level by level equivalence. Zbl 1068.03038
Apter, Arthur W.
2005
An Easton theorem for level by level equivalence. Zbl 1068.03040
Apter, Arthur W.
2005
Removing Laver functions from supercompactness arguments. Zbl 1061.03055
Apter, Arthur W.
2005
Can a large cardinal be forced from a condition implying its negation? Zbl 1079.03040
Apter, Arthur W.; Sargsyan, Grigor
2005
Universal partial indestructibility and strong compactness. Zbl 1078.03039
Apter, Arthur W.
2005
Universal indestructibility is consistent with two strongly compact cardinals. Zbl 1112.03045
Apter, Arthur W.
2005
Jonsson-like partition relations and $$j:V\to V$$. Zbl 1071.03029
Apter, Arthur W.; Sargsyan, Grigor
2004
Exactly controlling the non-supercompact strongly compact cardinals. Zbl 1056.03030
Apter, Arthur W.; Hamkins, Joel David
2003
Some remarks on indestructibility and Hamkins’ lottery preparation. Zbl 1045.03041
Apter, Arthur W.
2003
Characterizing strong compactness via strongness. Zbl 1022.03034
Apter, Arthur W.
2003
Failures of GCH and the level by level equivalence between strong compactness and supercompactness. Zbl 1035.03024
Apter, Arthur W.
2003
Indestructibility, strongness, and level by level equivalence. Zbl 1020.03048
Apter, Arthur W.
2003
Indestructibility and the level-by-level agreement between strong compactness and supercompactness. Zbl 1010.03043
Apter, Arthur W.; Hamkins, Joel David
2002
On level by level equivalence and inequivalence between strong compactness and supercompactness. Zbl 0988.03074
Apter, Arthur W.
2002
Strong cardinals can be fully Laver indestructible. Zbl 1011.03041
Apter, Arthur W.
2002
On the non-extendibility of strongness and supercompactness through strong compactness. Zbl 1004.03041
Apter, Arthur W.
2002
Aspects of strong compactness, measurability, and indestructibility. Zbl 1024.03047
Apter, Arthur W.
2002
Identity crises and strong compactness. II: Strong cardinals. Zbl 0980.03057
Apter, Arthur W.; Cummings, James
2001
Indestructible weakly compact cardinals and the necessity of supercompactness for certain proof schemata. Zbl 0992.03064
Apter, Arthur W.; Hamkins, Joel David
2001
Strong compactness, measurability, and the class of supercompact cardinals. Zbl 0981.03053
Apter, Arthur W.
2001
Some structural results concerning supercompact cardinals. Zbl 0994.03045
Apter, Arthur W.
2001
Some remarks on normal measures and measurable cardinals. Zbl 0969.03062
Apter, Arthur W.
2001
Supercompactness and measurable limits of strong cardinals. Zbl 0989.03053
Apter, Arthur W.
2001
Some remarks on a question of D. H. Fremlin regarding $$\varepsilon$$-density. Zbl 1021.03046
Apter, Arthur W.; Džamonja, Mirna
2001
Expanding $$\kappa$$’s power in its ultrapowers. Zbl 1069.03042
Apter, Arthur W.
2001
Identity crises and strong compactness. Zbl 0974.03044
Apter, Arthur W.; Cummings, James
2000
A global version of a theorem of Ben-David and Magidor. Zbl 0948.03049
Apter, Arthur W.; Cummings, James
2000
On a problem of Woodin. Zbl 0958.03034
Apter, Arthur W.
2000
A new proof of a theorem of Magidor. Zbl 0947.03068
Apter, A. W.
2000
Strong compactness and a global version of a theorem of Ben-David and Magidor. Zbl 0965.03061
Apter, Arthur W.
2000
The calculus of partition sequences, changing cofinalities, and a question of Woodin. Zbl 0928.03056
Apter, Arthur W.; Henle, James M.; Jackson, Stephen C.
2000
Universal indestructibility. Zbl 0953.03060
Apter, Arthur W.; Hamkins, Joel David
1999
Forcing the least measurable to violate GCH. Zbl 0941.03053
Apter, Arthur W.
1999
The least measurable can be strongly compact and indestructible. Zbl 0926.03067
Apter, Arthur W.; Gitik, Moti
1998
Laver indestructibility and the class of compact cardinals. Zbl 0899.03038
Apter, Arthur W.
1998
On the strong equality between supercompactness and strong compactness. Zbl 0864.03036
Apter, Arthur W.; Shelah, Saharon
1997
Menas’ result is best possible. Zbl 0876.03030
Apter, Arthur W.; Shelah, Saharon
1997
Patterns of compact cardinals. Zbl 0890.03026
Apter, Arthur W.
1997
More on the least strongly compact cardinal. Zbl 0880.03029
Apter, Arthur W.
1997
$$\text{AD}$$ and patterns of singular cardinals below $$\Theta$$. Zbl 0855.03029
Apter, Arthur W.
1996
A cardinal pattern inspired by $$\text{AD}$$. Zbl 0857.03030
Apter, Arthur W.
1996
On the first $$n$$ strongly compact cardinals. Zbl 0823.03029
Apter, Arthur W.
1995
Instances of dependent choice and the measurability of $$\aleph _{\omega +1}$$. Zbl 0842.03038
Apter, Arthur W.; Magidor, Menachem
1995
Some new upper bounds in consistency strength for certain choiceless large cardinal patterns. Zbl 0755.03028
Apter, Arthur W.
1992
On box, weak box and strong compactness. Zbl 0801.03034
Apter, Arthur W.; Henle, James M.
1992
On the class of measurable cardinals without the axiom of choice. Zbl 0781.03036
Apter, Arthur W.
1992
Relative consistency results via strong compactness. Zbl 0787.03040
Apter, Arthur W.; Henle, James M.
1991
A note on strong compactness and supercompactness. Zbl 0744.03053
Apter, Arthur W.
1991
Successors of singular cardinals and measurability revisited. Zbl 0787.03039
Apter, Arthur W.
1990
Filter spaces. II: Limit ultraproducts and iterated embeddings. Zbl 0714.03047
Apter, Arthur; Di Prisco, Carlos A.; Henle, James; Zwicker, William
1989
Filter spaces: Towards a unified theory of large cardinal and embedding axioms. Zbl 0668.03025
Apter, Arthur; DiPrisco, Carlos; Henle, James; Zwicker, William
1989
On a problem inspired by determinacy. Zbl 0661.03040
Apter, Arthur W.
1988
Some results on Specker’s problem. Zbl 0657.03033
Apter, Arthur W.; Gitik, Moti
1988
Large cardinal structures below $$\aleph _{\omega}$$. Zbl 0634.03050
Apter, Arthur W.; Henle, James M.
1986
Some results on consecutive large cardinals. II: Applications of Radin forcing. Zbl 0603.03016
Apter, Arthur W.
1985
Successors of singular cardinals and measurability. Zbl 0615.03040
Apter, Arthur W.
1985
Apter, Arthur W.
1985
Some results on consecutive large cardinals. Zbl 0548.03030
Apter, Arthur W.
1983
On a problem of Silver. Zbl 0524.03044
Apter, Arthur W.
1983
...and 3 more Documents
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#### Cited by 62 Authors

 78 Apter, Arthur W. 9 Hamkins, Joel David 8 Cummings, James 7 Koepke, Peter 5 Gitik, Moti 5 Sargsyan, Grigor 4 Cody, Brent M. 4 Friedman, Shoshana 4 Friedman, Sy-David 4 Fuchs, Gunter 4 Henle, James M. 3 Ben-Neria, Omer 3 Brooke-Taylor, Andrew D. 3 Lipparini, Paolo 3 Magidor, Menachem 3 Shelah, Saharon 2 Bagaria, Joan 2 Brodsky, Ari Meir 2 Dimitriou, Ioanna Matilde 2 Dimonte, Vincenzo 2 Dimopoulos, Stamatis 2 Garti, Shimon 2 Gitman, Victoria 2 Hayut, Yair 2 Jackson, Stephen C. 2 Perlmutter, Norman Lewis 2 Rinot, Assaf 2 Usuba, Toshimichi 1 Abe, Yoshihiro 1 Adolf, Dominik Thomas 1 Arslanov, M. Z. 1 Asperó, David 1 Busche, Daniel 1 Cheng, Yong 1 Di Prisco, Carlos Augusto 1 Dodos, Pandelis 1 Džamonja, Mirna 1 Foreman, Matthew D. 1 Göbel, Rüdiger 1 Goldberg, Gabriel 1 Habič, Miha Emerik 1 Holy, Peter 1 Honzik, Radek 1 Ismail, E. E. 1 Kanamori, Akihiro 1 Kanellopoulos, Vassilis 1 Karagila, Asaf 1 Lambie-Hanson, Chris 1 Löwe, Benedikt 1 Lubarsky, Robert S. 1 Lücke, Philipp Moritz 1 Méndez, Gisela M. 1 Miller, Arnold W. 1 Plebanek, Grzegorz 1 Rosický, Jiří 1 Sakai, Hiroshi 1 Schimmerling, Ernest 1 Schindler, Ralf-Dieter 1 Tsaprounis, Konstantinos 1 Unger, Spencer T. 1 Wilson, Trevor Miles 1 Zwicker, William S.
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#### Cited in 20 Serials

 29 Archive for Mathematical Logic 27 The Journal of Symbolic Logic 21 Annals of Pure and Applied Logic 21 Mathematical Logic Quarterly (MLQ) 8 Israel Journal of Mathematics 5 Notre Dame Journal of Formal Logic 5 Transactions of the American Mathematical Society 5 Bulletin of the Polish Academy of Sciences, Mathematics 4 Proceedings of the American Mathematical Society 2 Bollettino dell’Unione Matematica Italiana 1 Discrete Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Fundamenta Mathematicae 1 Fuzzy Sets and Systems 1 Journal of Pure and Applied Algebra 1 Topology and its Applications 1 Order 1 Journal of Mathematical Logic 1 Sarajevo Journal of Mathematics
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#### Cited in 8 Fields

 137 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 General topology (54-XX)