On the Evrard fibrant replacement of a functor
classification
🧮 math.KT
math.ATmath.CT
keywords
functorevrardassumptioncategoricalcategoriescocylinderdualeconomical
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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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