Simplicial radditive functors

Mathematics – Algebraic Geometry

Scientific paper

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This is a substantially revised version of the paper with the same name submitted in May 2008

Scientific paper

The simplicial extension of any functor from Sets to Sets which commutes with
directed colimits takes weak equivalences to weak equivalences. The goal of the
present paper is construct a framework which can be used to proof results of
this kind for a wide class of closed model categories and functors between
those categories.

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