Simplicial radditive functors
arXiv:0805.4434
Abstract
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.
This is a substantially revised version of the paper with the same name submitted in May 2008