A note on the model (co-)slice categories

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.

arXiv commentRewrite Theorem 3.5 and give a more detailed proof of it