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arXiv · 1403.5303

Coalgebraic models for combinatorial model categories

Michael Ching·Emily Riehl
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Abstract

We show that the category of algebraically cofibrant objects in a combinatorial and simplicial model category A has a model structure that is left-induced from that on A. In particular it follows that any presentable model category is Quillen equivalent (via a single Quillen equivalence) to one in which all objects are cofibrant.

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Michael Ching, Emily Riehl. 2014-09-08. Coalgebraic models for combinatorial model categories. https://arxiv.org/abs/1403.5303

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