On the Evrard fibrant replacement of a functor
K-Theory and Homology
2016-11-09 v4 Algebraic Topology
Category Theory
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.
Keywords
Cite
@article{arxiv.1412.0317,
title = {On the Evrard fibrant replacement of a functor},
author = {Boris Shoikhet},
journal= {arXiv preprint arXiv:1412.0317},
year = {2016}
}
Comments
28 pages, final version