Fibrations and homotopy colimits of simplicial sheaves

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dc.creatorRezk, Charles
dc.date1998-11-06
dc.date1998-11-09
dc.date.accessioned2026-07-07T05:26:45Z
dc.date.available2026-07-07T05:26:45Z
dc.descriptionWe show that homotopy pullbacks of sheaves of simplicial sets over a Grothendieck topology distribute over homotopy colimits; this generalizes a result of Puppe about topological spaces. In addition, we show that inverse image functors between categories of simplicial sheaves preserve homotopy pullback squares. The method we use introduces the notion of a sharp map, which is analogous to the notion of a quasi-fibration of spaces, and seems to be of independent interest.
dc.identifierhttps://arxiv.org/abs/math/9811038
dc.identifierhttp://arxiv.org/abs/math/9811038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77666
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subject18G30 (Primary), 18B25, 55R99 (Secondary)
dc.titleFibrations and homotopy colimits of simplicial sheaves
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