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Article Dans Une Revue Journal of Pure and Applied Algebra Année : 2002

Théories homotopiques dans les topos

Résumé

The purpose of these notes is to give an ad hoc construction of a closed model category structure on a topos inverting an arbitrary small set of arrows. Moreover, a necessary and sufficient condition for those structures to be proper is given. As an example, the Joyal closed model category structure on the category of simplicial objects of a topos is constructed without the use of (boolean) points.
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Dates et versions

hal-00440910 , version 1 (13-12-2009)

Identifiants

Citer

Denis-Charles Cisinski. Théories homotopiques dans les topos. Journal of Pure and Applied Algebra, 2002, 174, pp.43-82. ⟨10.1016/S0022-4049(01)00176-1⟩. ⟨hal-00440910⟩
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