Homotopy theory of small diagrams over large categories

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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.
LaTeX2e, 11 pages

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Algebraic Topology, Category Theory, 18G55 (Primary) 55P60, 18D20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/114158

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607117
 http://arxiv.org/abs/math/0607117

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arXiv