Characterizing algebraic stacks

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dc.creatorHollander, Sharon
dc.date2007-08-20
dc.date.accessioned2026-07-07T08:24:26Z
dc.date.available2026-07-07T08:24:26Z
dc.descriptionWe extend the notion of algebraic stack to an arbitrary subcanonical site C. If the topology on C is local on the target and satisfies descent for morphisms, we show that algebraic stacks are precisely those which are weakly equivalent to representable presheaves of groupoids whose domain map is a cover. This leads naturally to a definition of algebraic n-stacks. We also compare different sites naturally associated to a stack.
dc.description12 pages, to appear in Proc. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/0708.2705
dc.identifierhttp://arxiv.org/abs/0708.2705
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136338
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subject55U10 (Primary); 18G55, 14A20 (Secondary)
dc.titleCharacterizing algebraic stacks
dc.typetext

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