James Cummings

most citedLimits, Regularity and Removal for Finite Structures

13 citations · 13 across the 2 of their papers we have counts for

collaborators

2 papers

math.LO2014★ 13 cited

Limits, Regularity and Removal for Finite Structures

Ashwini Aroskar, James Cummings

Our work builds on known results for k-uniform hypergraphs including the existence of limits, a Regularity Lemma and a Removal Lemma. Our main tool here is a theory of measures on…

math.LO2014

Small universal families of graphs on $ℵ_{ω + 1}$

James Cummings, Mirna Džamonja, Charles Morgan

We prove that it is consistent that $ℵ_{ω}$ is strong limit, $2^{ℵ_{ω}}$ is large and the universality number for graphs on $ℵ_{ω + 1}$ is small. The proof uses Prikry for…

Limits, Regularity and Removal for Finite Structures

Small universal families of graphs on ℵω+1​

Small universal families of graphs on $ℵ_{ω + 1}$