James Cummings

According to our database, James Cummings authored at least 32 papers between 1993 and 2021.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2021

The Tree Property at the two Immediate Successors of a singular cardinal.

James Cummings, Yair Hayut, Menachem Magidor, Itay Neeman, Dima Sinapova, Spencer Unger

J. Symb. Log., 2021

2019

Normal Measures on a Tall cardinal.

Arthur W. Apter, James Cummings

J. Symb. Log., 2019

2018

The eightfold Way.

James Cummings, Sy-David Friedman, Menachem Magidor, Assaf Rinot

J. Symb. Log., 2018

Alexander Razborov, Flag algebras. Journal of Symbolic Logic, vol. 72 (2007), no. 4, pp. 1239-1282.

James Cummings

Bull. Symb. Log., 2018

Aronszajn and Kurepa trees.

James Cummings

Arch. Math. Log., 2018

2016

Small Universal families of graphs on ℵ_{<i>ω</i>+ 1}.

James Cummings, Mirna Dzamonja, Charles Morgan

J. Symb. Log., 2016

2015

Collapsing the cardinals of HOD.

James Cummings, Sy-David Friedman, Mohammad Golshani

J. Math. Log., 2015

Itay Neeman. Aronszajn trees and failure of the Singular Cardinal Hypothesis. Journal of Mathematical Logic, vol. 9, no. 1 (2009), pp. 139-157. - Dima Sinapova. The tree property at אּω+1. Journal of Symbolic Logic, vol. 77, no. 1 (2012), pp. 279-290. - Dima Sinapova. The tree property and the failure of SCH at uncountable cofinality. Archive for Mathematical Logic, vol. 51, no. 5-6 (2012), pp. 553-562. - Dima Sinapova. The tree property and the failure of the Singular Cardinal Hypothesis at אּω2. Journal of Symbolic Logic, vol. 77, no. 3 (2012), pp. 934-946. - Spencer Unger. Aronszajn trees and the successors of a singular cardinal. Archive for Mathematical Logic, vol. 52, no. 5-6 (2013), pp. 483-496. - Itay Neeman. The tree property up to אּω+1. Journal of Symbolic Logic. vol. 79, no. 2 (2014), pp. 429-459.

James Cummings

Bull. Symb. Log., 2015

2013

Monochromatic triangles in three-coloured graphs.

James Cummings, Daniel Král', Florian Pfender, Konrad Sperfeld, Andrew Treglown, Michael Young

J. Comb. Theory, Ser. B, 2013

2010

Diagonal Prikry extensions.

James Cummings, Matthew Foreman

J. Symb. Log., 2010

More on full reflection below À_w.

James Cummings, Dorshka Wylie

Arch. Math. Log., 2010

2009

Organic and tight.

James Cummings, Matthew Foreman, Ernest Schimmerling

Ann. Pure Appl. Log., 2009

2008

on the singular cardinals.

James Cummings, Sy-David Friedman

J. Symb. Log., 2008

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

Arthur W. Apter, James Cummings

Arch. Math. Log., 2008

2007

Some results in polychromatic Ramsey theory.

Uri Abraham, James Cummings, Clifford D. Smyth

J. Symb. Log., 2007

The hyper-weak distributive law and a related game in Boolean algebras.

James Cummings, Natasha Dobrinen

Ann. Pure Appl. Log., 2007

2006

Canonical structure in the universe of set theory: part two.

James Cummings, Matthew Foreman, Menachem Magidor

Ann. Pure Appl. Log., 2006

2005

Notes on Singular Cardinal Combinatorics.

James Cummings

Notre Dame J. Formal Log., 2005

Diamond and antichains.

James Cummings, Ernest Schimmerling

Arch. Math. Log., 2005

2004

Canonical structure in the universe of set theory: part one.

James Cummings, Matthew Foreman, Menachem Magidor

Ann. Pure Appl. Log., 2004

2003

The non-compactness of square.

James Cummings, Matthew Foreman, Menachem Magidor

J. Symb. Log., 2003

2002

Blowing up The Power Set of The Least Measurable.

Arthur W. Apter, James Cummings

J. Symb. Log., 2002

2001

Squares, scales and stationary Reflection.

James Cummings, Matthew Foreman, Menachem Magidor

J. Math. Log., 2001

Identity crises and strong compactness.

Arthur W. Apter, James Cummings

Arch. Math. Log., 2001

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

1995

A Model in Which Every Boolean Algebra Has Many Subalgebras.

James Cummings, Saharon Shelah

J. Symb. Log., 1995

Cardinal Invariants Above the Continuum.

James Cummings, Saharon Shelah

Ann. Pure Appl. Log., 1995

1994

Possible Behaviours for the Mitchell Ordering II.

James Cummings

J. Symb. Log., 1994

Coherent Sequences versus Radin Sequences.

James Cummings

Ann. Pure Appl. Log., 1994

1993

Strong Ultrapowers and Long Core Models.

James Cummings

J. Symb. Log., 1993

Possible Behaviours for the Mitchell Ordering.

James Cummings

Ann. Pure Appl. Logic, 1993