English

Combinatorial homotopy categories

Algebraic Topology 2020-12-04 v2

Abstract

A model category is called combinatorial if it is cofibrantly generated and its underlying category is locally presentable. As shown in recent years, homotopy categories of combinatorial model categories share useful properties, such as being well generated and satisfying a very general form of Ohkawa's theorem.

Keywords

Cite

@article{arxiv.1702.00240,
  title  = {Combinatorial homotopy categories},
  author = {Carles Casacuberta and Jiri Rosicky},
  journal= {arXiv preprint arXiv:1702.00240},
  year   = {2020}
}
R2 v1 2026-06-22T18:06:31.037Z