Arthur W. Apter

According to our database, Arthur W. Apter authored at least 89 papers between 1981 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Indestructibility and the linearity of the Mitchell ordering.

Arthur W. Apter

Arch. Math. Log., May, 2024

Strong compactness, square, GCH, and Woodin Cardinals.

Arthur W. Apter

J. Symb. Log., 2024

2022

Controlling the number of normal measures at successor cardinals.

Arthur W. Apter

Math. Log. Q., 2022

Indestructibility when the First two Measurable Cardinals are strongly Compact.

Arthur W. Apter

J. Symb. Log., 2022

2021

More on HOD-supercompactness.

Arthur W. Apter, Shoshana Friedman, Gunter Fuchs

Ann. Pure Appl. Log., 2021

Strongly compact cardinals and the continuum function.

Arthur W. Apter, Stamatis Dimopoulos, Toshimichi Usuba

Ann. Pure Appl. Log., 2021

2020

On weak square, approachability, the tree property, and failures of SCH in a choiceless context.

Arthur W. Apter

Math. Log. Q., 2020

2019

Normal Measures on a Tall cardinal.

Arthur W. Apter, James Cummings

J. Symb. Log., 2019

2017

Precisely controlling level by level behavior.

Arthur W. Apter

Math. Log. Q., 2017

On the consistency strength of level by level inequivalence.

Arthur W. Apter

Arch. Math. Log., 2017

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

A note on tall cardinals and level by level equivalence.

Arthur W. Apter

Math. Log. Q., 2016

Indestructibility and destructible measurable cardinals.

Arthur W. Apter

Arch. Math. Log., 2016

2015

A universal indestructibility theorem compatible with level by level equivalence.

Arthur W. Apter

Arch. Math. Log., 2015

2014

Inaccessible Cardinals, Failures of GCH, and Level-by-Level Equivalence.

Arthur W. Apter

Notre Dame J. Formal Log., 2014

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

2013

Consecutive Singular Cardinals and the Continuum Function.

Arthur W. Apter, Brent Cody

Notre Dame J. Formal Log., 2013

Indestructible strong compactness and level by level inequivalence.

Arthur W. Apter

Math. Log. Q., 2013

2012

Indestructibility, measurability, and degrees of supercompactness.

Arthur W. Apter

Math. Log. Q., 2012

Indestructible strong compactness but not supercompactness.

Arthur W. Apter, Moti Gitik, Grigor Sargsyan

Ann. Pure Appl. Log., 2012

Inner models with large cardinal features usually obtained by forcing.

Arthur W. Apter, Victoria Gitman, Joel David Hamkins

Arch. Math. Log., 2012

On some questions concerning strong compactness.

Arthur W. Apter

Arch. Math. Log., 2012

2011

Coding into HOD via normal measures with some applications.

Arthur W. Apter, Shoshana Friedman

Math. Log. Q., 2011

Indestructibility, HOD, and the Ground Axiom.

Arthur W. Apter

Math. Log. Q., 2011

Level by level inequivalence beyond measurability.

Arthur W. Apter

Arch. Math. Log., 2011

A remark on the tree property in a choiceless context.

Arthur W. Apter

Arch. Math. Log., 2011

2010

How many normal measures can Alef.

Arthur W. Apter

Math. Log. Q., 2010

Tallness and level by level equivalence and inequivalence.

Arthur W. Apter

Math. Log. Q., 2010

An equiconsistency for universal indestructibility.

Arthur W. Apter, Grigor Sargsyan

J. Symb. Log., 2010

The consistency strength of choiceless failures of SCH.

Arthur W. Apter, Peter Koepke

J. Symb. Log., 2010

Indestructibility, instances of strong compactness, and level by level inequivalence.

Arthur W. Apter

Arch. Math. Log., 2010

2009

Indestructibility under adding Cohen subsets and level by level equivalence.

Arthur W. Apter

Math. Log. Q., 2009

Indestructibility and stationary reflection.

Arthur W. Apter

Math. Log. Q., 2009

2008

Reducing the consistency strength of an indestructibility theorem.

Arthur W. Apter

Math. Log. Q., 2008

Universal indestructibility for degrees of supercompactness and strongly compact cardinals.

Arthur W. Apter, Grigor Sargsyan

Arch. Math. Log., 2008

Making all cardinals almost Ramsey.

Arthur W. Apter, Peter Koepke

Arch. Math. Log., 2008

An <i>L</i>-like model containing very large cardinals.

Arthur W. Apter, James Cummings

Arch. Math. Log., 2008

Indestructibility and measurable cardinals with few and many measures.

Arthur W. Apter

Arch. Math. Log., 2008

2007

Indestructibility and level by level equivalence and inequivalence.

Arthur W. Apter

Math. Log. Q., 2007

Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness.

Arthur W. Apter

Arch. Math. Log., 2007

2006

Supercompactness and measurable limits of strong cardinals II: Applications to level by level equivalence.

Arthur W. Apter

Math. Log. Q., 2006

The least strongly compact can be the least strong and indestructible.

Arthur W. Apter

Ann. Pure Appl. Log., 2006

Identity crises and strong compactness III: Woodin cardinals.

Arthur W. Apter, Grigor Sargsyan

Arch. Math. Log., 2006

The Consistency Strength of À_w and À_w₁ Being Rowbottom Cardinals Without the Axiom of Choice.

Arthur W. Apter, Peter Koepke

Arch. Math. Log., 2006

Failures of SCH and Level by Level Equivalence.

Arthur W. Apter

Arch. Math. Log., 2006

2005

Universal partial indestructibility and strong compactness.

Arthur W. Apter

Math. Log. Q., 2005

An Easton theorem for level by level equivalence.

Arthur W. Apter

Math. Log. Q., 2005

Removing Laver functions from supercompactness arguments.

Arthur W. Apter

Math. Log. Q., 2005

On a problem of Foreman and Magidor.

Arthur W. Apter

Arch. Math. Log., 2005

Diamond, square, and level by level equivalence.

Arthur W. Apter

Arch. Math. Log., 2005

2004

Level by level equivalence and strong compactness.

Arthur W. Apter

Math. Log. Q., 2004

Jonsson-like partition relations and j: V -> V.

Arthur W. Apter, Grigor Sargsyan

J. Symb. Log., 2004

2003

Failures of GCH and the level by level equivalence between strong compactness and supercompactness.

Arthur W. Apter

Math. Log. Q., 2003

Characterizing strong compactness via strongness.

Arthur W. Apter

Math. Log. Q., 2003

Exactly controlling the non-supercompact strongly compact cardinals.

Arthur W. Apter, Joel David Hamkins

J. Symb. Log., 2003

Some remarks on indestructibility and Hamkins' lottery preparation.

Arthur W. Apter

Arch. Math. Log., 2003

2002

Strong Cardinals can be Fully Laver Indestructible.

Arthur W. Apter

Math. Log. Q., 2002

Indestructibility and The Level-By-Level Agreement Between Strong Compactness and Supercompactness.

Arthur W. Apter, Joel David Hamkins

J. Symb. Log., 2002

Blowing up The Power Set of The Least Measurable.

Arthur W. Apter, James Cummings

J. Symb. Log., 2002

Aspects of strong compactness, measurability, and indestructibility.

Arthur W. Apter

Arch. Math. Log., 2002

2001

Indestructible Weakly Compact Cardinals and the Necessity of Supercompactness for Certain Proof Schemata.

Arthur W. Apter, Joel David Hamkins

Math. Log. Q., 2001

Some Remarks on Normal Measures and Measurable Cardinals.

Arthur W. Apter

Math. Log. Q., 2001

Some Structural Results Concerning Supercompact Cardinals.

Arthur W. Apter

J. Symb. Log., 2001

Supercompactness and Measurable Limits of Strong Cardinals.

Arthur W. Apter

J. Symb. Log., 2001

Some remarks on a question of D. H. Fremlin regarding epsilon-density.

Arthur W. Apter, Mirna Dzamonja

Arch. Math. Log., 2001

Identity crises and strong compactness.

Arthur W. Apter, James Cummings

Arch. Math. Log., 2001

2000

Strong Compactness and a Global Version of a Theorem of Ben-David and Magidor.

Arthur W. Apter

Math. Log. Q., 2000

Identity Crises, Strong Compactness.

Arthur W. Apter, James Cummings

J. Symb. Log., 2000

A Global Version of a Theorem of Ben-David and Magidor.

Arthur W. Apter, James Cummings

Ann. Pure Appl. Log., 2000

On a problem of Woodin.

Arthur W. Apter

Arch. Math. Log., 2000

A new proof of a theorem of Magidor.

Arthur W. Apter

Arch. Math. Log., 2000

1999

On the Consistency Strength of Two Choiceless Cardinal Patterns.

Arthur W. Apter

Notre Dame J. Formal Log., 1999

Forcing the Least Measurable to Violate GCH.

Arthur W. Apter

Math. Log. Q., 1999

On Measurable Limits of Compact Cardinals.

Arthur W. Apter

J. Symb. Log., 1999

1998

The Least Measurable Can Be Strongly Compact and Indestructible.

Arthur W. Apter, Moti Gitik

J. Symb. Log., 1998

Laver Indestructability and the Class of Compact Ordinals.

Arthur W. Apter

J. Symb. Log., 1998

1997

More on the Least Strongly Compact Cardinal.

Arthur W. Apter

Math. Log. Q., 1997

Patterns of Compact Cardinals.

Arthur W. Apter

Ann. Pure Appl. Log., 1997

1996

A Cardinal Pattern Inspired by AD.

Arthur W. Apter

Math. Log. Q., 1996

AD and Patterns of Singular Cardinals below Theta.

Arthur W. Apter

J. Symb. Log., 1996

1995

Instances of Dependent Choice and the Measurability of aleph_{omega + 1}.

Arthur W. Apter, Menachem Magidor

Ann. Pure Appl. Log., 1995

1992

Some new upper bounds in consistency strength for certain choiceless large cardinal patterns.

Arthur W. Apter

Arch. Math. Log., 1992

1990

Successors of Singular Cardinals and Measurability Revisited.

Arthur W. Apter

J. Symb. Log., 1990

1989

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

1986

Large Cardinal Structures Below alef_omega.

Arthur W. Apter, James M. Henle

J. Symb. Log., 1986

1985

An AD-Like Model.

Arthur W. Apter

J. Symb. Log., 1985

1983

Some results on consecutive large cardinals.

Arthur W. Apter

Ann. Pure Appl. Log., 1983

1981

Measurability and Degrees of Strong Compactness.

Arthur W. Apter

J. Symb. Log., 1981

Changing Cofinalities and Infinite Exponents.

Arthur W. Apter

J. Symb. Log., 1981