Changing Cofinalities and Infinite Exponents. - Arthur W. Apter (J. Symb. Log., 1981)

Measurability and Degrees of Strong Compactness. - Arthur W. Apter (J. Symb. Log., 1981)

Some results on consecutive large cardinals. - Arthur W. Apter (Ann. Pure Appl. Log., 1983)

An AD-Like Model. - Arthur W. Apter (J. Symb. Log., 1985)

Large Cardinal Structures Below alefomega. - Arthur W. Apter; James M. Henle (J. Symb. Log., 1986)

Filter Spaces: Toward a Unified Theory of Large Cardinals and Embedding Axioms. - Arthur W. Apter; Carlos DiPrisco; James M. Henle; William S. Zwicker (Ann. Pure Appl. Log., 1989)

Successors of Singular Cardinals and Measurability Revisited. - Arthur W. Apter (J. Symb. Log., 1990)

Some new upper bounds in consistency strength for certain choiceless large cardinal patterns. - Arthur W. Apter (Arch. Math. Log., 1992)

Instances of Dependent Choice and the Measurability of alephomega + 1. - Arthur W. Apter; Menachem Magidor (Ann. Pure Appl. Log., 1995)

AD and Patterns of Singular Cardinals below Theta. - Arthur W. Apter (J. Symb. Log., 1996)

A Cardinal Pattern Inspired by AD. - Arthur W. Apter (Math. Log. Q., 1996)

Patterns of Compact Cardinals. - Arthur W. Apter (Ann. Pure Appl. Log., 1997)

More on the Least Strongly Compact Cardinal. - Arthur W. Apter (Math. Log. Q., 1997)

Laver Indestructability and the Class of Compact Ordinals. - Arthur W. Apter (J. Symb. Log., 1998)

The Least Measurable Can Be Strongly Compact and Indestructible. - Arthur W. Apter; Moti Gitik (J. Symb. Log., 1998)

On Measurable Limits of Compact Cardinals. - Arthur W. Apter (J. Symb. Log., 1999)

Forcing the Least Measurable to Violate GCH. - Arthur W. Apter (Math. Log. Q., 1999)

On the Consistency Strength of Two Choiceless Cardinal Patterns. - Arthur W. Apter (Notre Dame J. Formal Log., 1999)

A new proof of a theorem of Magidor. - Arthur W. Apter (Arch. Math. Log., 2000)

On a problem of Woodin. - Arthur W. Apter (Arch. Math. Log., 2000)

A Global Version of a Theorem of Ben-David and Magidor. - Arthur W. Apter; James Cummings 001 (Ann. Pure Appl. Log., 2000)

Identity Crises, Strong Compactness. - Arthur W. Apter; James Cummings 001 (J. Symb. Log., 2000)

Strong Compactness and a Global Version of a Theorem of Ben-David and Magidor. - Arthur W. Apter (Math. Log. Q., 2000)

Identity crises and strong compactness. - Arthur W. Apter; James Cummings 001 (Arch. Math. Log., 2001)

Some remarks on a question of D. H. Fremlin regarding epsilon-density. - Arthur W. Apter; Mirna Dzamonja (Arch. Math. Log., 2001)

Supercompactness and Measurable Limits of Strong Cardinals. - Arthur W. Apter (J. Symb. Log., 2001)

Some Structural Results Concerning Supercompact Cardinals. - Arthur W. Apter (J. Symb. Log., 2001)

Some Remarks on Normal Measures and Measurable Cardinals. - Arthur W. Apter (Math. Log. Q., 2001)

Indestructible Weakly Compact Cardinals and the Necessity of Supercompactness for Certain Proof Schemata. - Arthur W. Apter; Joel David Hamkins (Math. Log. Q., 2001)

Aspects of strong compactness, measurability, and indestructibility. - Arthur W. Apter (Arch. Math. Log., 2002)

Blowing up The Power Set of The Least Measurable. - Arthur W. Apter; James Cummings 001 (J. Symb. Log., 2002)

Indestructibility and The Level-By-Level Agreement Between Strong Compactness and Supercompactness. - Arthur W. Apter; Joel David Hamkins (J. Symb. Log., 2002)

Strong Cardinals can be Fully Laver Indestructible. - Arthur W. Apter (Math. Log. Q., 2002)

Some remarks on indestructibility and Hamkins' lottery preparation. - Arthur W. Apter (Arch. Math. Log., 2003)

Exactly controlling the non-supercompact strongly compact cardinals. - Arthur W. Apter; Joel David Hamkins (J. Symb. Log., 2003)

Characterizing strong compactness via strongness. - Arthur W. Apter (Math. Log. Q., 2003)

Failures of GCH and the level by level equivalence between strong compactness and supercompactness. - Arthur W. Apter (Math. Log. Q., 2003)

Jonsson-like partition relations and j: V -> V. - Arthur W. Apter; Grigor Sargsyan (J. Symb. Log., 2004)

Level by level equivalence and strong compactness. - Arthur W. Apter (Math. Log. Q., 2004)

Diamond, square, and level by level equivalence. - Arthur W. Apter (Arch. Math. Log., 2005)

On a problem of Foreman and Magidor. - Arthur W. Apter (Arch. Math. Log., 2005)

Removing Laver functions from supercompactness arguments. - Arthur W. Apter (Math. Log. Q., 2005)

An Easton theorem for level by level equivalence. - Arthur W. Apter (Math. Log. Q., 2005)

Universal partial indestructibility and strong compactness. - Arthur W. Apter (Math. Log. Q., 2005)

Failures of SCH and Level by Level Equivalence. - Arthur W. Apter (Arch. Math. Log., 2006)

The Consistency Strength of Àw and Àw1 Being Rowbottom Cardinals Without the Axiom of Choice. - Arthur W. Apter; Peter Koepke (Arch. Math. Log., 2006)

Identity crises and strong compactness III: Woodin cardinals. - Arthur W. Apter; Grigor Sargsyan (Arch. Math. Log., 2006)

The least strongly compact can be the least strong and indestructible. - Arthur W. Apter (Ann. Pure Appl. Log., 2006)

Supercompactness and measurable limits of strong cardinals II: Applications to level by level equivalence. - Arthur W. Apter (Math. Log. Q., 2006)

Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness. - Arthur W. Apter (Arch. Math. Log., 2007)

Indestructibility and level by level equivalence and inequivalence. - Arthur W. Apter (Math. Log. Q., 2007)

Indestructibility and measurable cardinals with few and many measures. - Arthur W. Apter (Arch. Math. Log., 2008)

An L-like model containing very large cardinals. - Arthur W. Apter; James Cummings 001 (Arch. Math. Log., 2008)

Making all cardinals almost Ramsey. - Arthur W. Apter; Peter Koepke (Arch. Math. Log., 2008)

Universal indestructibility for degrees of supercompactness and strongly compact cardinals. - Arthur W. Apter; Grigor Sargsyan (Arch. Math. Log., 2008)

Reducing the consistency strength of an indestructibility theorem. - Arthur W. Apter (Math. Log. Q., 2008)

Indestructibility and stationary reflection. - Arthur W. Apter (Math. Log. Q., 2009)

Indestructibility under adding Cohen subsets and level by level equivalence. - Arthur W. Apter (Math. Log. Q., 2009)

Indestructibility, instances of strong compactness, and level by level inequivalence. - Arthur W. Apter (Arch. Math. Log., 2010)

The consistency strength of choiceless failures of SCH. - Arthur W. Apter; Peter Koepke (J. Symb. Log., 2010)

An equiconsistency for universal indestructibility. - Arthur W. Apter; Grigor Sargsyan (J. Symb. Log., 2010)

Tallness and level by level equivalence and inequivalence. - Arthur W. Apter (Math. Log. Q., 2010)

How many normal measures can Alef. - Arthur W. Apter (Math. Log. Q., 2010)

A remark on the tree property in a choiceless context. - Arthur W. Apter (Arch. Math. Log., 2011)

Level by level inequivalence beyond measurability. - Arthur W. Apter (Arch. Math. Log., 2011)

Indestructibility, HOD, and the Ground Axiom. - Arthur W. Apter (Math. Log. Q., 2011)

Coding into HOD via normal measures with some applications. - Arthur W. Apter; Shoshana Friedman (Math. Log. Q., 2011)

On some questions concerning strong compactness. - Arthur W. Apter (Arch. Math. Log., 2012)

Inner models with large cardinal features usually obtained by forcing. - Arthur W. Apter; Victoria Gitman; Joel David Hamkins (Arch. Math. Log., 2012)

Indestructible strong compactness but not supercompactness. - Arthur W. Apter; Moti Gitik; Grigor Sargsyan (Ann. Pure Appl. Log., 2012)

Indestructibility, measurability, and degrees of supercompactness. - Arthur W. Apter (Math. Log. Q., 2012)

Indestructible strong compactness and level by level inequivalence. - Arthur W. Apter (Math. Log. Q., 2013)

Consecutive Singular Cardinals and the Continuum Function. - Arthur W. Apter; Brent Cody (Notre Dame J. Formal Log., 2013)

The first measurable cardinal can be the first uncountable regular cardinal at any successor height. - Arthur W. Apter; Ioanna M. Dimitriou; Peter Koepke (Math. Log. Q., 2014)

Inaccessible Cardinals, Failures of GCH, and Level-by-Level Equivalence. - Arthur W. Apter (Notre Dame J. Formal Log., 2014)

A universal indestructibility theorem compatible with level by level equivalence. - Arthur W. Apter (Arch. Math. Log., 2015)

Indestructibility and destructible measurable cardinals. - Arthur W. Apter (Arch. Math. Log., 2016)

A note on tall cardinals and level by level equivalence. - Arthur W. Apter (Math. Log. Q., 2016)

All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters. - Arthur W. Apter; Ioanna M. Dimitriou; Peter Koepke (Math. Log. Q., 2016)

On the consistency strength of level by level inequivalence. - Arthur W. Apter (Arch. Math. Log., 2017)

Precisely controlling level by level behavior. - Arthur W. Apter (Math. Log. Q., 2017)

Normal Measures on a Tall cardinal. - Arthur W. Apter; James Cummings 001 (J. Symb. Log., 2019)

On weak square, approachability, the tree property, and failures of SCH in a choiceless context. - Arthur W. Apter (Math. Log. Q., 2020)

Strongly compact cardinals and the continuum function. - Arthur W. Apter; Stamatis Dimopoulos; Toshimichi Usuba (Ann. Pure Appl. Log., 2021)

More on HOD-supercompactness. - Arthur W. Apter; Shoshana Friedman; Gunter Fuchs (Ann. Pure Appl. Log., 2021)

Indestructibility when the First two Measurable Cardinals are strongly Compact. - Arthur W. Apter (J. Symb. Log., 2022)

Controlling the number of normal measures at successor cardinals. - Arthur W. Apter (Math. Log. Q., 2022)

Strong compactness, square, GCH, and Woodin Cardinals. - Arthur W. Apter (J. Symb. Log., 2024)

Indestructibility and the linearity of the Mitchell ordering. - Arthur W. Apter (Arch. Math. Log., 2024)

Indestructible supercompactness and level by level inequivalence. - Arthur W. Apter (Ann. Pure Appl. Log., 2025)