On colimits and elementary embeddings

Joan Bagaria; Andrew Brooke-Taylor

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arXiv · 1202.5215

On colimits and elementary embeddings

Joan Bagaria·Andrew Brooke-Taylor

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Abstract

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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Joan Bagaria, Andrew Brooke-Taylor. 2012-02-23. On colimits and elementary embeddings. https://arxiv.org/abs/1202.5215

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