# Arthur W. Apter

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Collaborative distances:

^{1}, Arthur W. Apter authored at least 82 papers between 1981 and 2019.Collaborative distances:

## Timeline

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## Bibliography

2019

Normal Measures on a Tall cardinal.

J. Symb. Log., 2019

2017

Precisely controlling level by level behavior.

Math. Log. Q., 2017

On the consistency strength of level by level inequivalence.

Arch. Math. Log., 2017

2016

All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters.

Math. Log. Q., 2016

A note on tall cardinals and level by level equivalence.

Math. Log. Q., 2016

Indestructibility and destructible measurable cardinals.

Arch. Math. Log., 2016

2015

A universal indestructibility theorem compatible with level by level equivalence.

Arch. Math. Log., 2015

2014

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

Notre Dame Journal of Formal Logic, 2014

The first measurable cardinal can be the first uncountable regular cardinal at any successor height.

Math. Log. Q., 2014

2013

Consecutive Singular Cardinals and the Continuum Function.

Notre Dame Journal of Formal Logic, 2013

Indestructible strong compactness and level by level inequivalence.

Math. Log. Q., 2013

2012

Indestructibility, measurability, and degrees of supercompactness.

Math. Log. Q., 2012

Indestructible strong compactness but not supercompactness.

Ann. Pure Appl. Logic, 2012

Inner models with large cardinal features usually obtained by forcing.

Arch. Math. Log., 2012

On some questions concerning strong compactness.

Arch. Math. Log., 2012

2011

Coding into HOD via normal measures with some applications.

Math. Log. Q., 2011

Indestructibility, HOD, and the Ground Axiom.

Math. Log. Q., 2011

Level by level inequivalence beyond measurability.

Arch. Math. Log., 2011

A remark on the tree property in a choiceless context.

Arch. Math. Log., 2011

2010

How many normal measures can Alef.

Math. Log. Q., 2010

Tallness and level by level equivalence and inequivalence.

Math. Log. Q., 2010

An equiconsistency for universal indestructibility.

J. Symb. Log., 2010

The consistency strength of choiceless failures of SCH.

J. Symb. Log., 2010

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

Arch. Math. Log., 2010

2009

Indestructibility under adding Cohen subsets and level by level equivalence.

Math. Log. Q., 2009

Indestructibility and stationary reflection.

Math. Log. Q., 2009

2008

Reducing the consistency strength of an indestructibility theorem.

Math. Log. Q., 2008

Universal indestructibility for degrees of supercompactness and strongly compact cardinals.

Arch. Math. Log., 2008

Making all cardinals almost Ramsey.

Arch. Math. Log., 2008

An

*L*-like model containing very large cardinals.
Arch. Math. Log., 2008

Indestructibility and measurable cardinals with few and many measures.

Arch. Math. Log., 2008

2007

Indestructibility and level by level equivalence and inequivalence.

Math. Log. Q., 2007

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

Arch. Math. Log., 2007

2006

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

Math. Log. Q., 2006

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

Ann. Pure Appl. Logic, 2006

Identity crises and strong compactness III: Woodin cardinals.

Arch. Math. Log., 2006

The Consistency Strength of À

_{w}and À_{w1}Being Rowbottom Cardinals Without the Axiom of Choice.
Arch. Math. Log., 2006

Failures of SCH and Level by Level Equivalence.

Arch. Math. Log., 2006

2005

Universal partial indestructibility and strong compactness.

Math. Log. Q., 2005

An Easton theorem for level by level equivalence.

Math. Log. Q., 2005

Removing Laver functions from supercompactness arguments.

Math. Log. Q., 2005

On a problem of Foreman and Magidor.

Arch. Math. Log., 2005

Diamond, square, and level by level equivalence.

Arch. Math. Log., 2005

2004

Level by level equivalence and strong compactness.

Math. Log. Q., 2004

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

J. Symb. Log., 2004

2003

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

Math. Log. Q., 2003

Characterizing strong compactness via strongness.

Math. Log. Q., 2003

Exactly controlling the non-supercompact strongly compact cardinals.

J. Symb. Log., 2003

Some remarks on indestructibility and Hamkins' lottery preparation.

Arch. Math. Log., 2003

2002

Strong Cardinals can be Fully Laver Indestructible.

Math. Log. Q., 2002

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

J. Symb. Log., 2002

Blowing up The Power Set of The Least Measurable.

J. Symb. Log., 2002

Aspects of strong compactness, measurability, and indestructibility.

Arch. Math. Log., 2002

2001

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

Math. Log. Q., 2001

Some Remarks on Normal Measures and Measurable Cardinals.

Math. Log. Q., 2001

Some Structural Results Concerning Supercompact Cardinals.

J. Symb. Log., 2001

Supercompactness and Measurable Limits of Strong Cardinals.

J. Symb. Log., 2001

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

Arch. Math. Log., 2001

Identity crises and strong compactness.

Arch. Math. Log., 2001

2000

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

Math. Log. Q., 2000

Identity Crises, Strong Compactness.

J. Symb. Log., 2000

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

Ann. Pure Appl. Logic, 2000

On a problem of Woodin.

Arch. Math. Log., 2000

A new proof of a theorem of Magidor.

Arch. Math. Log., 2000

1999

On the Consistency Strength of Two Choiceless Cardinal Patterns.

Notre Dame Journal of Formal Logic, 1999

Forcing the Least Measurable to Violate GCH.

Math. Log. Q., 1999

On Measurable Limits of Compact Cardinals.

J. Symb. Log., 1999

1998

The Least Measurable Can Be Strongly Compact and Indestructible.

J. Symb. Log., 1998

Laver Indestructability and the Class of Compact Ordinals.

J. Symb. Log., 1998

1997

More on the Least Strongly Compact Cardinal.

Math. Log. Q., 1997

Patterns of Compact Cardinals.

Ann. Pure Appl. Logic, 1997

1996

A Cardinal Pattern Inspired by AD.

Math. Log. Q., 1996

AD and Patterns of Singular Cardinals below Theta.

J. Symb. Log., 1996

1995

Instances of Dependent Choice and the Measurability of aleph

_{omega + 1}.
Ann. Pure Appl. Logic, 1995

1992

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

Arch. Math. Log., 1992

1990

Successors of Singular Cardinals and Measurability Revisited.

J. Symb. Log., 1990

1989

Filter Spaces: Toward a Unified Theory of Large Cardinals and Embedding Axioms.

Ann. Pure Appl. Logic, 1989

1986

Large Cardinal Structures Below alef

_{omega}.
J. Symb. Log., 1986

1985

An AD-Like Model.

J. Symb. Log., 1985

1983

Some results on consecutive large cardinals.

Ann. Pure Appl. Logic, 1983

1981

Measurability and Degrees of Strong Compactness.

J. Symb. Log., 1981

Changing Cofinalities and Infinite Exponents.

J. Symb. Log., 1981