Structures de dérivabilité , by Bruno Kahn and Georges Maltsiniotis

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".


Bruno Kahn <kahn@math.jussieu.fr>
Georges Maltsiniotis <maltsin@math.jussieu.fr>