James Cummings

Orcid: 0000-0002-7913-0427

Affiliations:
  • Carnegie Mellon University, Pittsburgh, PA, USA


According to our database1, James Cummings authored at least 32 papers between 1993 and 2021.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of two.

Timeline

Legend:

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Bibliography

2021
The Tree Property at the two Immediate Successors of a singular cardinal.
J. Symb. Log., 2021

2019
Normal Measures on a Tall cardinal.
J. Symb. Log., 2019

2018
The eightfold Way.
J. Symb. Log., 2018

Alexander Razborov, Flag algebras. Journal of Symbolic Logic, vol. 72 (2007), no. 4, pp. 1239-1282.
Bull. Symb. Log., 2018

Aronszajn and Kurepa trees.
Arch. Math. Log., 2018

2016
Small Universal families of graphs on ℵ<sub><i>ω</i>+ 1</sub>.
J. Symb. Log., 2016

2015
Collapsing the cardinals of HOD.
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.
Bull. Symb. Log., 2015

2013
Monochromatic triangles in three-coloured graphs.
J. Comb. Theory B, 2013

2010
Diagonal Prikry extensions.
J. Symb. Log., 2010

More on full reflection below À<sub>w</sub>.
Arch. Math. Log., 2010

2009
Organic and tight.
Ann. Pure Appl. Log., 2009

2008
on the singular cardinals.
J. Symb. Log., 2008

An <i>L</i>-like model containing very large cardinals.
Arch. Math. Log., 2008

2007
Some results in polychromatic Ramsey theory.
J. Symb. Log., 2007

The hyper-weak distributive law and a related game in Boolean algebras.
Ann. Pure Appl. Log., 2007

2006
Canonical structure in the universe of set theory: part two.
Ann. Pure Appl. Log., 2006

2005
Notes on Singular Cardinal Combinatorics.
Notre Dame J. Formal Log., 2005

Diamond and antichains.
Arch. Math. Log., 2005

2004
Canonical structure in the universe of set theory: part one.
Ann. Pure Appl. Log., 2004

2003
The non-compactness of square.
J. Symb. Log., 2003

2002
Blowing up The Power Set of The Least Measurable.
J. Symb. Log., 2002

2001
Squares, scales and stationary Reflection.
J. Math. Log., 2001

Identity crises and strong compactness.
Arch. Math. Log., 2001

2000
Identity Crises, Strong Compactness.
J. Symb. Log., 2000

A Global Version of a Theorem of Ben-David and Magidor.
Ann. Pure Appl. Log., 2000

1995
A Model in Which Every Boolean Algebra Has Many Subalgebras.
J. Symb. Log., 1995

Cardinal Invariants Above the Continuum.
Ann. Pure Appl. Log., 1995

1994
Possible Behaviours for the Mitchell Ordering II.
J. Symb. Log., 1994

Coherent Sequences versus Radin Sequences.
Ann. Pure Appl. Log., 1994

1993
Strong Ultrapowers and Long Core Models.
J. Symb. Log., 1993

Possible Behaviours for the Mitchell Ordering.
Ann. Pure Appl. Logic, 1993


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