Profinite homotopy theory

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dc.creatorQuick, Gereon
dc.date2008-03-28
dc.date2008-12-18
dc.date.accessioned2026-07-07T12:14:20Z
dc.date.available2026-07-07T12:14:20Z
dc.descriptionWe construct a model structure on simplicial profinite sets such that the homotopy groups carry a natural profinite structure. This yields a rigid profinite completion functor for spaces and pro-spaces. One motivation is the étale homotopy theory of schemes in which higher profinite étale homotopy groups fit well with the étale fundamental group which is always profinite. We show that the profinite étale topological realization functor is a good object in several respects.
dc.description25 pages; correction of the proof of Theorem 2.12
dc.identifierhttps://arxiv.org/abs/0803.4082
dc.identifierhttp://arxiv.org/abs/0803.4082
dc.identifierDoc. Math. 13 (2008) 585-612
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211157
dc.subjectAlgebraic Topology
dc.subjectAlgebraic Geometry
dc.subject14F35; 14H30; 55P15
dc.titleProfinite homotopy theory
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