English

A note on the model (co-)slice categories

Representation Theory 2014-09-17 v3 Algebraic Topology

Abstract

There are various adjunctions between model (co-)slice and slice categories. We characterize when these adjunctions are Quillen equivalences. As an application, a triangle equivalence between the stable category of a Frobenius category and the homotopy category of a non-pointed model category is given.

Keywords

Cite

@article{arxiv.1402.2033,
  title  = {A note on the model (co-)slice categories},
  author = {Zhi-Wei Li},
  journal= {arXiv preprint arXiv:1402.2033},
  year   = {2014}
}

Comments

Rewrite Theorem 3.5 and give a more detailed proof of it

R2 v1 2026-06-22T03:04:31.954Z