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Abstract
Let ๐ be a large category which is cocomplete. We construct a model structure (in the sense of Quillen) on the category of small functors from ๐ 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.
Received: 2007-06-08
Published Online: 2009-03-12
Published in Print: 2009-March
ยฉ de Gruyter 2009
