13 citations · 23 across the 11 of their papers we have counts for
14 papers
On minimal non--scattered linear orders
Todd Eisworth, James Cummings, Justin Tatch Moore
The purpose of this article is to give new constructions of linear orders which are minimal with respect to being non--scattered. Specifically, we will show that Jensen's princi…
Ultrafilters on singular cardinals of uncountable cofinality
James Cummings, Charles Morgan
We prove that consistently there is a singular cardinal of uncountable cofinality such that is weakly inaccessible, and every regular cardinal strictly between and $2…
Iteration of strongly -cc forcing posets
James Cummings, Mirna Džamonja, Itay Neeman
We prove some iteration theorems for a certain class of -cc forcing posets.
Collapsing the cardinals of
James Cummings, Sy David Friedman, Mohammad Golshani
Assuming that holds and is -supercompact, we construct a generic extension of in which remains strongly inaccessible and for every…
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…
Small universal families of graphs on
James Cummings, Mirna Džamonja, Charles Morgan
We prove that it is consistent that is strong limit, is large and the universality number for graphs on is small. The proof uses Prikry for…