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1D-MATH, ETH Zentrum, 8059 Zurich, Switzerland. chorny@math.ethz.ch
2Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA. dwyer.1@nd.edu
Citation Information: Forum Mathematicum. Volume 21, Issue 2, Pages 167–179, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: 10.1515/FORUM.2009.009, March 2009
Let 𝒟 be a large category which is cocomplete. We construct a model structure (in the sense of Quillen) on the category of small functors from 𝒟 to simplicial sets. As an application we construct homotopy localization functors on the category of simplicial sets which satisfy a stronger universal property than the customary homotopy localization functors do.
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