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arXiv · 1412.0317

On the Evrard fibrant replacement of a functor

Boris Shoikhet
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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.

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Boris Shoikhet. 2014-12-01. On the Evrard fibrant replacement of a functor. https://arxiv.org/abs/1412.0317

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