Catégories dérivables
Résumé
This paper is devoted to the construction of derivators from a notion of model category which is general enough to recover the theories of Quillen, Thomason, and Brown. We develop, in particular, the theory of derivable exact categories (for instance, Frobenius categories or complicial biWaldhausen categories with nice homotopy stability properties), which give rise to triangulated derivators. At last, we prove that the notion of model category we introduced here is stable by taking presheaves categories over an arbitrary small category.
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