Geodesic
Diagonal model structures
Theory and applications of categories, Tome 28 (2013), pp. 250-268.

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The category of bisimplicial presheaves carries a model structure for which the weak equivalences are defined by the diagonal functor and the cofibrations are monomorphisms. This model structure has the most cofibrations of a large family of model structures with weak equivalences defined by the diagonal. The diagonal structure for bisimplicial presheaves specializes to a diagonal model structure for bisimplicial sets, for which the fibrations are the Kan fibrations.
Publié le :
Classification : Primary 18G30, Secondary 18F20, 55U35
Keywords: bisimplicial presheaves, diagonal functor, model structure 
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     author = {J. F. Jardine},
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     year = {2013},
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J. F. Jardine. Diagonal model structures. Theory and applications of categories, Tome 28 (2013), pp. 250-268. http://geodesic.mathdoc.fr/item/TAC_2013_28_a9/