English

Accessible model categories

Category Theory 2015-07-23 v2

Abstract

We prove that a weak factorization system on a locally presentable category is accessible if and only if it is small generated in the sense of R. Garner. Moreover, we discuss an analogy of Smith's theorem for accessible model categories.

Keywords

Cite

@article{arxiv.1503.05010,
  title  = {Accessible model categories},
  author = {J. Rosicky},
  journal= {arXiv preprint arXiv:1503.05010},
  year   = {2015}
}
R2 v1 2026-06-22T08:55:06.854Z