Pure maps are strict monomorphisms

Kristóf Kanalas

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arXiv · 2407.13448

Pure maps are strict monomorphisms

Kristóf Kanalas

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Abstract

We prove that $i)$ if $\mathcal{A}$ is $\lambda $-accessible and it is axiomatizable in (finitary) coherent logic then $\lambda $-pure maps are strict monomorphisms and $ii)$ if there is a proper class of strongly compact cardinals and $\mathcal{A}$ is $\lambda $-accessible then for some $\mu \vartriangleright \lambda $ every $\mu $-pure map is a strict monomorphism.

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Kristóf Kanalas. 2024-07-18. Pure maps are strict monomorphisms. https://arxiv.org/abs/2407.13448

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