Small universal families of graphs on $\aleph_{\omega+1}$
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Cummings, James, Dzamonja, Mirna and Morgan, Charles (2016) Small universal families of graphs on $\aleph_{\omega+1}$. Journal of Symbolic Logic, 81 (02). pp. 541-569. ISSN 0022-4812
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Abstract
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 forcing with interleaved collapsing.
Item Type: | Article |
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Uncontrolled Keywords: | universality,graphs,prikry forcing,iterated forcing,master conditions,successors of singular cardinals,laver indestructibility |
Faculty \ School: | Faculty of Science > School of Mathematics |
Depositing User: | Pure Connector |
Date Deposited: | 22 Mar 2016 09:05 |
Last Modified: | 09 Jan 2021 00:46 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/57615 |
DOI: | 10.1017/jsl.2015.65 |
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