On colimits and elementary embeddings

Details On colimits and elementary embeddings On colimits and elementary embeddings

2012-02-23

arxiv.org/abs/1202.5215v1

Mathematics

Logic

17 pages

Scientific paper

We give a sharper version of a theorem of Rosicky, Trnkova and Adamek, and a new proof of a theorem of Rosicky, both about colimit preservation between 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 alpha-strongly compact and C^(n)-extendible cardinals.

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