Cochain algebras of mapping spaces and finite group actions

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dc.creatorPatras, Frederic
dc.creatorThomas, Jean-Claude
dc.date2001-10-19
dc.date.accessioned2026-07-07T04:43:57Z
dc.date.available2026-07-07T04:43:57Z
dc.descriptionThe purpose of the present article is threefold. First of all, we rebuild the whole theory of cosimplicial models of mapping spaces by using systematically Kan adjunction techniques. Secondly, given two topological spaces X and Y, we construct a cochain algebra which is quasi-isomorphic (as an algebra) to the singular cochain algebra of the corresponding mapping space from X to Y. Here, X has to be homotopy equivalent to the geometric realization a finite simplicial set and of dimension less or equal to the connectivity of Y. At last, we apply these results to the study of finite group actions on mapping spaces that are induced by an action on the source.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0110213
dc.identifierhttp://arxiv.org/abs/math/0110213
dc.identifierTopology and its Applications, vol. 128, Issues 2-3, (2003), 189-207.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62447
dc.subjectAlgebraic Topology
dc.subjectGroup Theory
dc.subject54C35; 18A40; 58D19; 55U15; 18G35; 18G55; 55N45
dc.titleCochain algebras of mapping spaces and finite group actions
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