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19952023
most citedLimits, Regularity and Removal for Finite Structures

13 citations · 23 across the 11 of their papers we have counts for

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Showing 2014Show all

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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

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…

math.LO2014

A Framework for Forcing Constructions at Successors of Singular Cardinals

James Cummings, Mirna Džamonja, Menachem Magidor +2

We describe a framework for proving consistency results about singular cardinals of arbitrary cofinality and their successors. This framework allows the construction of models in w…