James Cummings

Publication Activity (10 Years)

Years Active: 1993-2021
Publications (10 Years): 6

Top Topics

Tree Structures

Clifford Algebra

Machine Intelligence

Top Venues

Bull. Symb. Log.

Arch. Math. Log.

J. Comb. Theory, Ser. B

Publications

James Cummings, Yair Hayut, Menachem Magidor, Itay Neeman, Dima Sinapova, Spencer Unger
The Tree Property at the two Immediate Successors of a singular cardinal. J. Symb. Log. 86 (2) (2021)
Arthur W. Apter, James Cummings
Normal Measures on a Tall cardinal. J. Symb. Log. 84 (1) (2019)
James Cummings
Aronszajn and Kurepa trees. Arch. Math. Log. 57 (1-2) (2018)
James Cummings, Sy-David Friedman, Menachem Magidor, Assaf Rinot
The eightfold Way. J. Symb. Log. 83 (1) (2018)
James Cummings
Alexander Razborov, Flag algebras. Journal of Symbolic Logic, vol. 72 (2007), no. 4, pp. 1239-1282. Bull. Symb. Log. 24 (1) (2018)
James Cummings, Mirna Dzamonja, Charles Morgan
. J. Symb. Log. 81 (2) (2016)
James Cummings, Sy-David Friedman, Mohammad Golshani
Collapsing the cardinals of HOD. J. Math. Log. 15 (2) (2015)
James Cummings
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. 21 (2) (2015)
James Cummings, Daniel Král', Florian Pfender, Konrad Sperfeld, Andrew Treglown, Michael Young
Monochromatic triangles in three-coloured graphs. J. Comb. Theory, Ser. B 103 (4) (2013)
James Cummings, Dorshka Wylie
. Arch. Math. Log. 49 (6) (2010)
James Cummings, Matthew Foreman
Diagonal Prikry extensions. J. Symb. Log. 75 (4) (2010)
James Cummings, Matthew Foreman, Ernest Schimmerling
Organic and tight. Ann. Pure Appl. Log. 160 (1) (2009)
James Cummings, Sy-David Friedman
on the singular cardinals. J. Symb. Log. 73 (4) (2008)
Arthur W. Apter, James Cummings
-like model containing very large cardinals. Arch. Math. Log. 47 (1) (2008)
James Cummings, Natasha Dobrinen
The hyper-weak distributive law and a related game in Boolean algebras. Ann. Pure Appl. Log. 149 (1-3) (2007)
Uri Abraham, James Cummings, Clifford Smyth
Some results in polychromatic Ramsey theory. J. Symb. Log. 72 (3) (2007)
James Cummings, Matthew Foreman, Menachem Magidor
Canonical structure in the universe of set theory: part two. Ann. Pure Appl. Log. 142 (1-3) (2006)
James Cummings
Notes on Singular Cardinal Combinatorics. Notre Dame J. Formal Log. 46 (3) (2005)
James Cummings, Ernest Schimmerling
Diamond and antichains. Arch. Math. Log. 44 (1) (2005)
James Cummings, Matthew Foreman, Menachem Magidor
Canonical structure in the universe of set theory: part one. Ann. Pure Appl. Log. 129 (1-3) (2004)
James Cummings, Matthew Foreman, Menachem Magidor
The non-compactness of square. J. Symb. Log. 68 (2) (2003)
Arthur W. Apter, James Cummings
Blowing up The Power Set of The Least Measurable. J. Symb. Log. 67 (3) (2002)
James Cummings, Matthew Foreman, Menachem Magidor
Squares, scales and stationary Reflection. J. Math. Log. 1 (1) (2001)
Arthur W. Apter, James Cummings
Identity crises and strong compactness. Arch. Math. Log. 40 (1) (2001)
Arthur W. Apter, James Cummings
Identity Crises, Strong Compactness. J. Symb. Log. 65 (4) (2000)
Arthur W. Apter, James Cummings
A Global Version of a Theorem of Ben-David and Magidor. Ann. Pure Appl. Log. 102 (3) (2000)
James Cummings, Saharon Shelah
Cardinal Invariants Above the Continuum. Ann. Pure Appl. Log. 75 (3) (1995)
James Cummings, Saharon Shelah
A Model in Which Every Boolean Algebra Has Many Subalgebras. J. Symb. Log. 60 (3) (1995)
James Cummings
Coherent Sequences versus Radin Sequences. Ann. Pure Appl. Log. 70 (3) (1994)
James Cummings
Possible Behaviours for the Mitchell Ordering II. J. Symb. Log. 59 (4) (1994)
James Cummings
Possible Behaviours for the Mitchell Ordering. Ann. Pure Appl. Logic 65 (2) (1993)
James Cummings
Strong Ultrapowers and Long Core Models. J. Symb. Log. 58 (1) (1993)