English

Minimal accessible categories

Category Theory 2022-02-08 v1

Abstract

We give a purely category-theoretic proof of the result of Makkai and Par\'e saying that the category Lin\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 1\aleph_1-accessible category.

Keywords

Cite

@article{arxiv.2007.09967,
  title  = {Minimal accessible categories},
  author = {Jiří Rosický},
  journal= {arXiv preprint arXiv:2007.09967},
  year   = {2022}
}

Comments

7 pages

R2 v1 2026-06-23T17:14:24.727Z