Homotopy theory of small diagrams over large categories

dc.creatorChorny, Boris
dc.creatorDwyer, William G.
dc.date2006-07-05
dc.date.accessioned2026-07-07T07:18:02Z
dc.date.available2026-07-07T07:18:02Z
dc.descriptionLet $D$ 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.
dc.descriptionLaTeX2e, 11 pages
dc.identifierhttps://arxiv.org/abs/math/0607117
dc.identifierhttp://arxiv.org/abs/math/0607117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114158
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subject18G55 (Primary) 55P60, 18D20 (Secondary)
dc.titleHomotopy theory of small diagrams over large categories
dc.typetext

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