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24 March 2025
 
  » arxiv » 1605.0605

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Universal graphs at $aleph_{omega_1+1}$
Jacob Davis ;
Date 2 May 2016
AbstractStarting from a supercompact cardinal we build a model in which $2^{aleph_{omega_1}}=2^{aleph_{omega_1+1}}=aleph_{omega_1+3}$ but there is a jointly universal family of size $aleph_{omega_1+2}$ of graphs on $aleph_{omega_1+1}$. The same technique will work for any uncountable cardinal in place of $omega_1$.
Source arXiv, 1605.0605
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