Homotopy theory of small diagrams over large categories

Mathematics – Algebraic Topology

Scientific paper

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LaTeX2e, 11 pages

Scientific paper

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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