English

Simplicial radditive functors

Algebraic Geometry 2009-09-28 v2

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.

Keywords

Cite

@article{arxiv.0805.4434,
  title  = {Simplicial radditive functors},
  author = {Vladimir Voevodsky},
  journal= {arXiv preprint arXiv:0805.4434},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T10:45:08.266Z