Configuration spaces on the sphere and higher loop spaces

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dc.creatorSalvatore, Paolo
dc.date2003-03-24
dc.date.accessioned2026-07-07T04:56:18Z
dc.date.available2026-07-07T04:56:18Z
dc.descriptionWe show that the homology over a field of the space of free maps from the n-sphere to the n-fold suspension of X depends only on the cohomology algebra of X and compute it explicitly. We compute also the homology of the closely related labelled configuration space on the n-sphere with labels in X and of its completion, that depends only on the homology of X. In many but not all cases the homology of the configuration space coincides with the homology of the mapping space. In particular we obtain the homology of the unordered configuration spaces on a sphere.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0303290
dc.identifierhttp://arxiv.org/abs/math/0303290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66875
dc.subjectAlgebraic Topology
dc.subject55P48, 55R80, 55S12
dc.titleConfiguration spaces on the sphere and higher loop spaces
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