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Structures de dérivabilité
Authors:Bruno Kahn
Institution:Institut de Mathématiques de Jussieu, Université Paris 7 Denis Diderot, Case Postale 7012, 2, place Jussieu, F-75251 Paris cedex 05, France
Abstract:We introduce a very general framework in which Quillen's theorems of existence, composition and adjunction for derived functors can be proved. We thus generalize and unify previous results by Dwyer, Hirschhorn, Kan and Smith, obtained in their formalism of “homotopical categories,” and by Radulescu-Banu in the context of Cisinski's “derivable categories.”
Keywords:18A40  18E35  18G10  18G55  55P60  55U35
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