Geodesic
Coalgebraic models for combinatorial model categories
Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 171-184.

Voir la notice de l'article provenant de la source International Press of Boston

We show that the category of algebraically cofibrant objects in a combinatorial and simplicial model category $\mathcal{A}$ has a model structure that is left-induced from that on $\mathcal{A}$. 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.
DOI : 10.4310/HHA.2014.v16.n2.a9
Classification : 18C35, 55U40
Keywords: model category, cofibrant object, coalgebra 
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Michael Ching; Emily Riehl. Coalgebraic models for combinatorial model categories. Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 171-184. doi : 10.4310/HHA.2014.v16.n2.a9. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n2.a9/

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