English

On fibrant objects in model categories

Category Theory 2016-07-27 v3

Abstract

In this paper, we study properties of maps between fibrant objects in model categories. We give a characterization of weak equivalences between fibrant object. If every object of a model category is fibrant, then we give a simple description of a set of generating cofibrations. We show that to construct such model structure it is enough to check some relatively simple conditions.

Keywords

Cite

@article{arxiv.1312.4327,
  title  = {On fibrant objects in model categories},
  author = {Valery Isaev},
  journal= {arXiv preprint arXiv:1312.4327},
  year   = {2016}
}

Comments

15 pages

R2 v1 2026-06-22T02:28:20.043Z