On the Evrard fibrant replacement of a functor

zbMATH Open1359.18005arXiv1412.0317MaRDI QIDQ2953829

Boris Shoikhet

Publication date: 6 January 2017

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.

Full work available at URL: https://arxiv.org/abs/1412.0317

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zbMATH Keywords

Evrard's theoremhomotopy fibrant replacement of a functorQuillen Theorem B

Mathematics Subject Classification ID

Fibered categories (18D30)

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