Minimal accessible categories

Jiří Rosický

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arXiv · 2007.09967

Minimal accessible categories

Jiří Rosický

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Abstract

We give a purely category-theoretic proof of the result of Makkai and Par\'e saying that the category $\bf Lin$ of linearly ordered sets and order preserving injective mappings is a minimal finitely accessible category. We also discuss the existence of a minimal $\aleph_1$-accessible category.

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Jiří Rosický. 2020-07-20. Minimal accessible categories. https://arxiv.org/abs/2007.09967

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