Arthur W. Apter

Publication Activity (10 Years)

Years Active: 1981-2024
Publications (10 Years): 13

Top Topics

Partial Ordering

Top Venues

Arch. Math. Log.

Ann. Pure Appl. Log.

Publications

Arthur W. Apter
Indestructibility and the linearity of the Mitchell ordering. Arch. Math. Log. 63 (3-4) (2024)
Arthur W. Apter
Indestructibility when the First two Measurable Cardinals are strongly Compact. J. Symb. Log. 87 (1) (2022)
Arthur W. Apter
Controlling the number of normal measures at successor cardinals. Math. Log. Q. 68 (3) (2022)
Arthur W. Apter, Stamatis Dimopoulos, Toshimichi Usuba
Strongly compact cardinals and the continuum function. Ann. Pure Appl. Log. 172 (9) (2021)
Arthur W. Apter, Shoshana Friedman, Gunter Fuchs
More on HOD-supercompactness. Ann. Pure Appl. Log. 172 (3) (2021)
Arthur W. Apter
On weak square, approachability, the tree property, and failures of SCH in a choiceless context. Math. Log. Q. 66 (1) (2020)
Arthur W. Apter, James Cummings
Normal Measures on a Tall cardinal. J. Symb. Log. 84 (1) (2019)
Arthur W. Apter
Precisely controlling level by level behavior. Math. Log. Q. 63 (1-2) (2017)
Arthur W. Apter
On the consistency strength of level by level inequivalence. Arch. Math. Log. 56 (7-8) (2017)
Arthur W. Apter
Indestructibility and destructible measurable cardinals. Arch. Math. Log. 55 (1-2) (2016)
Arthur W. Apter, Ioanna M. Dimitriou, Peter Koepke
All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters. Math. Log. Q. 62 (3) (2016)
Arthur W. Apter
A note on tall cardinals and level by level equivalence. Math. Log. Q. 62 (1-2) (2016)
Arthur W. Apter
A universal indestructibility theorem compatible with level by level equivalence. Arch. Math. Log. 54 (3-4) (2015)
Arthur W. Apter, Ioanna M. Dimitriou, Peter Koepke
The first measurable cardinal can be the first uncountable regular cardinal at any successor height. Math. Log. Q. 60 (6) (2014)
Arthur W. Apter
Inaccessible Cardinals, Failures of GCH, and Level-by-Level Equivalence. Notre Dame J. Formal Log. 55 (4) (2014)
Arthur W. Apter
Indestructible strong compactness and level by level inequivalence. Math. Log. Q. 59 (4-5) (2013)
Arthur W. Apter, Brent Cody
Consecutive Singular Cardinals and the Continuum Function. Notre Dame J. Formal Log. 54 (2) (2013)
Arthur W. Apter
On some questions concerning strong compactness. Arch. Math. Log. 51 (7-8) (2012)
Arthur W. Apter
Indestructibility, measurability, and degrees of supercompactness. Math. Log. Q. 58 (1-2) (2012)
Arthur W. Apter, Moti Gitik, Grigor Sargsyan
Indestructible strong compactness but not supercompactness. Ann. Pure Appl. Log. 163 (9) (2012)
Arthur W. Apter, Victoria Gitman, Joel David Hamkins
Inner models with large cardinal features usually obtained by forcing. Arch. Math. Log. 51 (3-4) (2012)
Arthur W. Apter
A remark on the tree property in a choiceless context. Arch. Math. Log. 50 (5-6) (2011)
Arthur W. Apter, Shoshana Friedman
Coding into HOD via normal measures with some applications. Math. Log. Q. 57 (4) (2011)
Arthur W. Apter
Indestructibility, HOD, and the Ground Axiom. Math. Log. Q. 57 (3) (2011)
Arthur W. Apter
Level by level inequivalence beyond measurability. Arch. Math. Log. 50 (7-8) (2011)
Arthur W. Apter
Indestructibility, instances of strong compactness, and level by level inequivalence. Arch. Math. Log. 49 (7-8) (2010)
Arthur W. Apter
How many normal measures can Alef. Math. Log. Q. 56 (2) (2010)
Arthur W. Apter, Grigor Sargsyan
An equiconsistency for universal indestructibility. J. Symb. Log. 75 (1) (2010)
Arthur W. Apter, Peter Koepke
The consistency strength of choiceless failures of SCH. J. Symb. Log. 75 (3) (2010)
Arthur W. Apter
Tallness and level by level equivalence and inequivalence. Math. Log. Q. 56 (1) (2010)
Arthur W. Apter
Indestructibility and stationary reflection. Math. Log. Q. 55 (3) (2009)
Arthur W. Apter
Indestructibility under adding Cohen subsets and level by level equivalence. Math. Log. Q. 55 (3) (2009)
Arthur W. Apter
Reducing the consistency strength of an indestructibility theorem. Math. Log. Q. 54 (3) (2008)
Arthur W. Apter, Peter Koepke
Making all cardinals almost Ramsey. Arch. Math. Log. 47 (7-8) (2008)
Arthur W. Apter, Grigor Sargsyan
Universal indestructibility for degrees of supercompactness and strongly compact cardinals. Arch. Math. Log. 47 (2) (2008)
Arthur W. Apter, James Cummings
-like model containing very large cardinals. Arch. Math. Log. 47 (1) (2008)
Arthur W. Apter
Indestructibility and measurable cardinals with few and many measures. Arch. Math. Log. 47 (2) (2008)
Arthur W. Apter
Indestructibility and level by level equivalence and inequivalence. Math. Log. Q. 53 (1) (2007)
Arthur W. Apter
Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness. Arch. Math. Log. 46 (3-4) (2007)
Arthur W. Apter
The least strongly compact can be the least strong and indestructible. Ann. Pure Appl. Log. 144 (1-3) (2006)
Arthur W. Apter, Grigor Sargsyan
Identity crises and strong compactness III: Woodin cardinals. Arch. Math. Log. 45 (3) (2006)
Arthur W. Apter, Peter Koepke
Being Rowbottom Cardinals Without the Axiom of Choice. Arch. Math. Log. 45 (6) (2006)
Arthur W. Apter
Supercompactness and measurable limits of strong cardinals II: Applications to level by level equivalence. Math. Log. Q. 52 (5) (2006)
Arthur W. Apter
Failures of SCH and Level by Level Equivalence. Arch. Math. Log. 45 (7) (2006)
Arthur W. Apter
Diamond, square, and level by level equivalence. Arch. Math. Log. 44 (3) (2005)
Arthur W. Apter
On a problem of Foreman and Magidor. Arch. Math. Log. 44 (4) (2005)
Arthur W. Apter
Removing Laver functions from supercompactness arguments. Math. Log. Q. 51 (2) (2005)
Arthur W. Apter
An Easton theorem for level by level equivalence. Math. Log. Q. 51 (3) (2005)
Arthur W. Apter
Universal partial indestructibility and strong compactness. Math. Log. Q. 51 (5) (2005)
Arthur W. Apter
Level by level equivalence and strong compactness. Math. Log. Q. 50 (1) (2004)
Arthur W. Apter, Grigor Sargsyan
Jonsson-like partition relations and j: V -> V. J. Symb. Log. 69 (4) (2004)
Arthur W. Apter
Characterizing strong compactness via strongness. Math. Log. Q. 49 (4) (2003)
Arthur W. Apter
Some remarks on indestructibility and Hamkins' lottery preparation. Arch. Math. Log. 42 (8) (2003)
Arthur W. Apter
Failures of GCH and the level by level equivalence between strong compactness and supercompactness. Math. Log. Q. 49 (6) (2003)
Arthur W. Apter, Joel David Hamkins
Exactly controlling the non-supercompact strongly compact cardinals. J. Symb. Log. 68 (2) (2003)
Arthur W. Apter
Strong Cardinals can be Fully Laver Indestructible. Math. Log. Q. 48 (4) (2002)
Arthur W. Apter, Joel David Hamkins
Indestructibility and The Level-By-Level Agreement Between Strong Compactness and Supercompactness. J. Symb. Log. 67 (2) (2002)
Arthur W. Apter
Aspects of strong compactness, measurability, and indestructibility. Arch. Math. Log. 41 (8) (2002)
Arthur W. Apter, James Cummings
Blowing up The Power Set of The Least Measurable. J. Symb. Log. 67 (3) (2002)
Arthur W. Apter, Joel David Hamkins
Indestructible Weakly Compact Cardinals and the Necessity of Supercompactness for Certain Proof Schemata. Math. Log. Q. 47 (4) (2001)
Arthur W. Apter
Some Structural Results Concerning Supercompact Cardinals. J. Symb. Log. 66 (4) (2001)
Arthur W. Apter, James Cummings
Identity crises and strong compactness. Arch. Math. Log. 40 (1) (2001)
Arthur W. Apter
Supercompactness and Measurable Limits of Strong Cardinals. J. Symb. Log. 66 (2) (2001)
Arthur W. Apter
Some Remarks on Normal Measures and Measurable Cardinals. Math. Log. Q. 47 (1) (2001)
Arthur W. Apter, Mirna Dzamonja
Some remarks on a question of D. H. Fremlin regarding epsilon-density. Arch. Math. Log. 40 (7) (2001)
Arthur W. Apter
A new proof of a theorem of Magidor. Arch. Math. Log. 39 (3) (2000)
Arthur W. Apter
Strong Compactness and a Global Version of a Theorem of Ben-David and Magidor. Math. Log. Q. 46 (4) (2000)
Arthur W. Apter, James Cummings
Identity Crises, Strong Compactness. J. Symb. Log. 65 (4) (2000)
Arthur W. Apter, James Cummings
A Global Version of a Theorem of Ben-David and Magidor. Ann. Pure Appl. Log. 102 (3) (2000)
Arthur W. Apter
On a problem of Woodin. Arch. Math. Log. 39 (4) (2000)
Arthur W. Apter
On Measurable Limits of Compact Cardinals. J. Symb. Log. 64 (4) (1999)
Arthur W. Apter
Forcing the Least Measurable to Violate GCH. Math. Log. Q. 45 (1999)
Arthur W. Apter
On the Consistency Strength of Two Choiceless Cardinal Patterns. Notre Dame J. Formal Log. 40 (3) (1999)
Arthur W. Apter, Moti Gitik
The Least Measurable Can Be Strongly Compact and Indestructible. J. Symb. Log. 63 (4) (1998)
Arthur W. Apter
Laver Indestructability and the Class of Compact Ordinals. J. Symb. Log. 63 (1) (1998)
Arthur W. Apter
Patterns of Compact Cardinals. Ann. Pure Appl. Log. 89 (2-3) (1997)
Arthur W. Apter
More on the Least Strongly Compact Cardinal. Math. Log. Q. 43 (1997)
Arthur W. Apter
A Cardinal Pattern Inspired by AD. Math. Log. Q. 42 (1996)
Arthur W. Apter
AD and Patterns of Singular Cardinals below Theta. J. Symb. Log. 61 (1) (1996)
Arthur W. Apter, Menachem Magidor
. Ann. Pure Appl. Log. 74 (3) (1995)
Arthur W. Apter
Some new upper bounds in consistency strength for certain choiceless large cardinal patterns. Arch. Math. Log. 31 (3) (1992)
Arthur W. Apter
Successors of Singular Cardinals and Measurability Revisited. J. Symb. Log. 55 (2) (1990)
Arthur W. Apter, Carlos DiPrisco, James M. Henle, William S. Zwicker
Filter Spaces: Toward a Unified Theory of Large Cardinals and Embedding Axioms. Ann. Pure Appl. Log. 41 (2) (1989)
Arthur W. Apter, James M. Henle
. J. Symb. Log. 51 (3) (1986)
Arthur W. Apter
An AD-Like Model. J. Symb. Log. 50 (2) (1985)
Arthur W. Apter
Some results on consecutive large cardinals. Ann. Pure Appl. Log. 25 (1) (1983)
Arthur W. Apter
Measurability and Degrees of Strong Compactness. J. Symb. Log. 46 (2) (1981)
Arthur W. Apter
Changing Cofinalities and Infinite Exponents. J. Symb. Log. 46 (1) (1981)