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On the Evrard fibrant replacement of a functor

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 Added by Boris Shoikhet
 Publication date 2014
  fields
and research's language is English




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We provide a more economical refined version of Evrards 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 Quillens Theorem B.

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