Arthur W. Apter

90 papers Journal 90

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Indestructible supercompactness and level by level inequivalence. Ann. Pure Appl. Log. Arthur W. Apter
2024	J	`jnl`	Indestructibility and the linearity of the Mitchell ordering. Arch. Math. Log. Arthur W. Apter
2024	J	`jnl`	Strong compactness, square, GCH, and Woodin Cardinals. J. Symb. Log. Arthur W. Apter
2022	J	`jnl`	Controlling the number of normal measures at successor cardinals. Math. Log. Q. Arthur W. Apter
2022	J	`jnl`	Indestructibility when the First two Measurable Cardinals are strongly Compact. J. Symb. Log. Arthur W. Apter
2021	J	`jnl`	More on HOD-supercompactness. Ann. Pure Appl. Log. Arthur W. Apter, Shoshana Friedman, Gunter Fuchs
2021	J	`jnl`	Strongly compact cardinals and the continuum function. Ann. Pure Appl. Log. Arthur W. Apter, Stamatis Dimopoulos, Toshimichi Usuba
2020	J	`jnl`	On weak square, approachability, the tree property, and failures of SCH in a choiceless context. Math. Log. Q. Arthur W. Apter
2019	J	`jnl`	Normal Measures on a Tall cardinal. J. Symb. Log. Arthur W. Apter, James Cummings
2017	J	`jnl`	On the consistency strength of level by level inequivalence. Arch. Math. Log. Arthur W. Apter
2017	J	`jnl`	Precisely controlling level by level behavior. Math. Log. Q. Arthur W. Apter
2016	J	`jnl`	A note on tall cardinals and level by level equivalence. Math. Log. Q. Arthur W. Apter
2016	J	`jnl`	All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters. Math. Log. Q. Arthur W. Apter, Ioanna M. Dimitriou, Peter Koepke
2016	J	`jnl`	Indestructibility and destructible measurable cardinals. Arch. Math. Log. Arthur W. Apter
2015	J	`jnl`	A universal indestructibility theorem compatible with level by level equivalence. Arch. Math. Log. Arthur W. Apter
2014	J	`jnl`	Inaccessible Cardinals, Failures of GCH, and Level-by-Level Equivalence. Notre Dame J. Formal Log. Arthur W. Apter
2014	J	`jnl`	The first measurable cardinal can be the first uncountable regular cardinal at any successor height. Math. Log. Q. Arthur W. Apter, Ioanna M. Dimitriou, Peter Koepke
2013	J	`jnl`	Consecutive Singular Cardinals and the Continuum Function. Notre Dame J. Formal Log. Arthur W. Apter, Brent Cody
2013	J	`jnl`	Indestructible strong compactness and level by level inequivalence. Math. Log. Q. Arthur W. Apter
2012	J	`jnl`	Indestructibility, measurability, and degrees of supercompactness. Math. Log. Q. Arthur W. Apter
2012	J	`jnl`	Indestructible strong compactness but not supercompactness. Ann. Pure Appl. Log. Arthur W. Apter, Moti Gitik, Grigor Sargsyan
2012	J	`jnl`	Inner models with large cardinal features usually obtained by forcing. Arch. Math. Log. Arthur W. Apter, Victoria Gitman, Joel David Hamkins
2012	J	`jnl`	On some questions concerning strong compactness. Arch. Math. Log. Arthur W. Apter
2011	J	`jnl`	A remark on the tree property in a choiceless context. Arch. Math. Log. Arthur W. Apter
2011	J	`jnl`	Coding into HOD via normal measures with some applications. Math. Log. Q. Arthur W. Apter, Shoshana Friedman
2011	J	`jnl`	Indestructibility, HOD, and the Ground Axiom. Math. Log. Q. Arthur W. Apter
2011	J	`jnl`	Level by level inequivalence beyond measurability. Arch. Math. Log. Arthur W. Apter
2010	J	`jnl`	An equiconsistency for universal indestructibility. J. Symb. Log. Arthur W. Apter, Grigor Sargsyan
2010	J	`jnl`	How many normal measures can Alef. Math. Log. Q. Arthur W. Apter
2010	J	`jnl`	Indestructibility, instances of strong compactness, and level by level inequivalence. Arch. Math. Log. Arthur W. Apter
2010	J	`jnl`	Tallness and level by level equivalence and inequivalence. Math. Log. Q. Arthur W. Apter
2010	J	`jnl`	The consistency strength of choiceless failures of SCH. J. Symb. Log. Arthur W. Apter, Peter Koepke
2009	J	`jnl`	Indestructibility and stationary reflection. Math. Log. Q. Arthur W. Apter
2009	J	`jnl`	Indestructibility under adding Cohen subsets and level by level equivalence. Math. Log. Q. Arthur W. Apter
2008	J	`jnl`	An Arch. Math. Log. Arthur W. Apter, James Cummings
2008	J	`jnl`	Indestructibility and measurable cardinals with few and many measures. Arch. Math. Log. Arthur W. Apter
2008	J	`jnl`	Making all cardinals almost Ramsey. Arch. Math. Log. Arthur W. Apter, Peter Koepke
2008	J	`jnl`	Reducing the consistency strength of an indestructibility theorem. Math. Log. Q. Arthur W. Apter
2008	J	`jnl`	Universal indestructibility for degrees of supercompactness and strongly compact cardinals. Arch. Math. Log. Arthur W. Apter, Grigor Sargsyan
2007	J	`jnl`	Indestructibility and level by level equivalence and inequivalence. Math. Log. Q. Arthur W. Apter
2007	J	`jnl`	Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness. Arch. Math. Log. Arthur W. Apter
2006	J	`jnl`	Failures of SCH and Level by Level Equivalence. Arch. Math. Log. Arthur W. Apter
2006	J	`jnl`	Identity crises and strong compactness III: Woodin cardinals. Arch. Math. Log. Arthur W. Apter, Grigor Sargsyan
2006	J	`jnl`	Supercompactness and measurable limits of strong cardinals II: Applications to level by level equivalence. Math. Log. Q. Arthur W. Apter
2006	J	`jnl`	The Consistency Strength of À Arch. Math. Log. Arthur W. Apter, Peter Koepke
2006	J	`jnl`	The least strongly compact can be the least strong and indestructible. Ann. Pure Appl. Log. Arthur W. Apter
2005	J	`jnl`	An Easton theorem for level by level equivalence. Math. Log. Q. Arthur W. Apter
2005	J	`jnl`	Diamond, square, and level by level equivalence. Arch. Math. Log. Arthur W. Apter
2005	J	`jnl`	On a problem of Foreman and Magidor. Arch. Math. Log. Arthur W. Apter
2005	J	`jnl`	Removing Laver functions from supercompactness arguments. Math. Log. Q. Arthur W. Apter
2005	J	`jnl`	Universal partial indestructibility and strong compactness. Math. Log. Q. Arthur W. Apter
2004	J	`jnl`	Jonsson-like partition relations and j: V -> V. J. Symb. Log. Arthur W. Apter, Grigor Sargsyan
2004	J	`jnl`	Level by level equivalence and strong compactness. Math. Log. Q. Arthur W. Apter
2003	J	`jnl`	Characterizing strong compactness via strongness. Math. Log. Q. Arthur W. Apter
2003	J	`jnl`	Exactly controlling the non-supercompact strongly compact cardinals. J. Symb. Log. Arthur W. Apter, Joel David Hamkins
2003	J	`jnl`	Failures of GCH and the level by level equivalence between strong compactness and supercompactness. Math. Log. Q. Arthur W. Apter
2003	J	`jnl`	Some remarks on indestructibility and Hamkins' lottery preparation. Arch. Math. Log. Arthur W. Apter
2002	J	`jnl`	Aspects of strong compactness, measurability, and indestructibility. Arch. Math. Log. Arthur W. Apter
2002	J	`jnl`	Blowing up The Power Set of The Least Measurable. J. Symb. Log. Arthur W. Apter, James Cummings
2002	J	`jnl`	Indestructibility and The Level-By-Level Agreement Between Strong Compactness and Supercompactness. J. Symb. Log. Arthur W. Apter, Joel David Hamkins
2002	J	`jnl`	Strong Cardinals can be Fully Laver Indestructible. Math. Log. Q. Arthur W. Apter
2001	J	`jnl`	Identity crises and strong compactness. Arch. Math. Log. Arthur W. Apter, James Cummings
2001	J	`jnl`	Indestructible Weakly Compact Cardinals and the Necessity of Supercompactness for Certain Proof Schemata. Math. Log. Q. Arthur W. Apter, Joel David Hamkins
2001	J	`jnl`	Some Remarks on Normal Measures and Measurable Cardinals. Math. Log. Q. Arthur W. Apter
2001	J	`jnl`	Some Structural Results Concerning Supercompact Cardinals. J. Symb. Log. Arthur W. Apter
2001	J	`jnl`	Some remarks on a question of D. H. Fremlin regarding epsilon-density. Arch. Math. Log. Arthur W. Apter, Mirna Dzamonja
2001	J	`jnl`	Supercompactness and Measurable Limits of Strong Cardinals. J. Symb. Log. Arthur W. Apter
2000	J	`jnl`	A Global Version of a Theorem of Ben-David and Magidor. Ann. Pure Appl. Log. Arthur W. Apter, James Cummings
2000	J	`jnl`	A new proof of a theorem of Magidor. Arch. Math. Log. Arthur W. Apter
2000	J	`jnl`	Identity Crises, Strong Compactness. J. Symb. Log. Arthur W. Apter, James Cummings
2000	J	`jnl`	On a problem of Woodin. Arch. Math. Log. Arthur W. Apter
2000	J	`jnl`	Strong Compactness and a Global Version of a Theorem of Ben-David and Magidor. Math. Log. Q. Arthur W. Apter
1999	J	`jnl`	Forcing the Least Measurable to Violate GCH. Math. Log. Q. Arthur W. Apter
1999	J	`jnl`	On Measurable Limits of Compact Cardinals. J. Symb. Log. Arthur W. Apter
1999	J	`jnl`	On the Consistency Strength of Two Choiceless Cardinal Patterns. Notre Dame J. Formal Log. Arthur W. Apter
1998	J	`jnl`	Laver Indestructability and the Class of Compact Ordinals. J. Symb. Log. Arthur W. Apter
1998	J	`jnl`	The Least Measurable Can Be Strongly Compact and Indestructible. J. Symb. Log. Arthur W. Apter, Moti Gitik
1997	J	`jnl`	More on the Least Strongly Compact Cardinal. Math. Log. Q. Arthur W. Apter
1997	J	`jnl`	Patterns of Compact Cardinals. Ann. Pure Appl. Log. Arthur W. Apter
1996	J	`jnl`	A Cardinal Pattern Inspired by AD. Math. Log. Q. Arthur W. Apter
1996	J	`jnl`	AD and Patterns of Singular Cardinals below Theta. J. Symb. Log. Arthur W. Apter
1995	J	`jnl`	Instances of Dependent Choice and the Measurability of aleph Ann. Pure Appl. Log. Arthur W. Apter, Menachem Magidor
1992	J	`jnl`	Some new upper bounds in consistency strength for certain choiceless large cardinal patterns. Arch. Math. Log. Arthur W. Apter
1990	J	`jnl`	Successors of Singular Cardinals and Measurability Revisited. J. Symb. Log. Arthur W. Apter
1989	J	`jnl`	Filter Spaces: Toward a Unified Theory of Large Cardinals and Embedding Axioms. Ann. Pure Appl. Log. Arthur W. Apter, Carlos DiPrisco, James M. Henle, William S. Zwicker
1986	J	`jnl`	Large Cardinal Structures Below alef J. Symb. Log. Arthur W. Apter, James M. Henle
1985	J	`jnl`	An AD-Like Model. J. Symb. Log. Arthur W. Apter
1983	J	`jnl`	Some results on consecutive large cardinals. Ann. Pure Appl. Log. Arthur W. Apter
1981	J	`jnl`	Changing Cofinalities and Infinite Exponents. J. Symb. Log. Arthur W. Apter
1981	J	`jnl`	Measurability and Degrees of Strong Compactness. J. Symb. Log. Arthur W. Apter