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On Colimits and Elementary Embeddings
Published online by Cambridge University Press: 12 March 2014
Abstract
We give a sharper version of a theorem of Rosický, Trnková and Adámek [13], and a new proof of a theorem of Rosický [12], both about colimits in categories of structures. Unlike the original proofs, which use category-theoretic methods, we use set-theoretic arguments involving elementary embeddings given by large cardinals such as α-strongly compact and C(n)-extendible cardinals.
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- Copyright © Association for Symbolic Logic 2013
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