English

Colimits of accessible categories

Category Theory 2013-09-17 v1

Abstract

We show that any directed colimit of acessible categories and accessible full embeddings is accessible and, assuming the existence of arbitrarily large strongly compact cardinals, any directed colimit of acessible categories and accessible embeddings is accessible.

Keywords

Cite

@article{arxiv.1110.0767,
  title  = {Colimits of accessible categories},
  author = {R. Pare and J. Rosicky},
  journal= {arXiv preprint arXiv:1110.0767},
  year   = {2013}
}
R2 v1 2026-06-21T19:15:02.476Z