On the Evrard fibrant replacement of a functor

Abstract

We provide a more economical refined version of Evrard's categorical cocylinder factorization of a functor [Ev1,2]. We show that any functor between small categories can be factored into a homotopy equivalence followed by a (co)fibred functor which satisfies the (dual) assumption of Quillen's Theorem B.

arXiv comment28 pages, final version

References in corpus (1)

• Fibrations and homotopy colimits of simplicial sheaves