Codescent theory II: Cofibrant approximations
Paul Balmer, Michel Matthey
Abstract
We establish a general method to produce cofibrant approximations in the model category US(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.
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