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arXiv · 1408.4188

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

James Cummings·Mirna Džamonja·Charles Morgan
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Abstract

We prove that it is consistent that $\aleph_ω$ is strong limit, $2^{\aleph_ω}$ is large and the universality number for graphs on $\aleph_{ω+1}$ is small. The proof uses Prikry forcing with interleaved collapsing.

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James Cummings, Mirna Džamonja, Charles Morgan. 2014-08-19. Small universal families of graphs on $\aleph_{ω+1}$. https://arxiv.org/abs/1408.4188

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