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Simplicial radditive functors

Published online by Cambridge University Press:  26 April 2010

Vladimir Voevodsky
Vladimir Voevodsky
Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton NJ, USA, vladimir@ias.edu
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Abstract

The simplicial extension of any functor from Sets to Sets which commutes with directed colimits respects weak equivalences. In the present paper we construct a framework which allows one to extend this result to a wide class of model categories and functors between such categories.

Keywords

non-additivederived functorfinitary varietieslocal equivalences

Information

Type
Research Article
Information
Journal of K-Theory , Volume 5 , Issue 2 , April 2010, pp. 201 - 244
Copyright
Copyright © ISOPP 2010

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