Geodesic
Codescent theory II: cofibrant approximations
Homology, homotopy, and applications, Tome 8 (2006) no. 1, pp. 211-242.

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

We establish a general method to produce cofibrant approximations in the model category $U_S(C,D)$ of $S$-valued $C$-indexed diagrams with $D$-weak equivalences and $D$-fibrations. We also present explicit examples of such approximations. Here, $S$ is an arbitrary cofibrantly generated simplicial model category, and $D ⊂ C$ are small categories. An application to the notion of homotopy colimit is presented.
DOI : 10.4310/HHA.2006.v8.n1.a7
Classification : 18G55, 55U10
Keywords: diagram category, cofibrant approximation, codescent 
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2006.v8.n1.a7/}
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Paul Balmer; Michel Matthey. Codescent theory II: cofibrant approximations. Homology, homotopy, and applications, Tome 8 (2006) no. 1, pp. 211-242. doi : 10.4310/HHA.2006.v8.n1.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2006.v8.n1.a7/

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