C. Morgan

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20142019

most citedSelectively (a)-spaces from almost disjoint families are necessarily countable under a certain parametrized weak diamond principle

4 citations · 4 across the 4 of their papers we have counts for

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Showing 2014 · math.LOShow all

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math.LO2014

Mitchell-style forcing, with small working parts and collections of models as side conditions, and gap-one simplified morasses

Charles Morgan

We give a modification of Mitchell's technique for adding objects of size $ω_{2}$ with conditions with finite working parts in which the collections of models used as side conditions…

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…

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…

Mitchell-style forcing, with small working parts and collections of models as side conditions, and gap-one simplified morasses

Small universal families of graphs on ℵω+1​

A Framework for Forcing Constructions at Successors of Singular Cardinals

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