Mapping spaces and homology isomorphisms

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dc.creatorKuhn, Nicholas J.
dc.date2004-07-08
dc.date.accessioned2026-07-07T05:10:07Z
dc.date.available2026-07-07T05:10:07Z
dc.descriptionLet Map(K,X) denote the space of pointed continuous maps from a finite cell complex K to a space X. Let E_* be a generalized homology theory. We use Goodwillie calculus methods to prove that under suitable conditions on K and X, Map(K, X) will send a E_*--isomorphism in either variable to a map that is monic in E_* homology. Interesting examples arise by letting E_* be K--theory, K be a sphere, and the map in the X variable be an exotic unstable Adams map between Moore spaces.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0407146
dc.identifierhttp://arxiv.org/abs/math/0407146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71827
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject55P35
dc.titleMapping spaces and homology isomorphisms
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