Miller Spaces and Spherical Resolvability of Finite Complexes

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dc.creatorStrom, Jeffrey
dc.date2001-11-13
dc.date.accessioned2026-07-07T04:44:34Z
dc.date.available2026-07-07T04:44:34Z
dc.descriptionWe show that if $K$ is a nilpotent finite complex, then $ΩK$ can be built from spheres using fibrations and homotopy (inverse) limits. This is applied to show that if ${\mathrm {map}}_*(X,S^n)$ is weakly contractible for all $n$, then ${\mathrm {map}}_*(X,K)$ is weakly contractible for any nilpotent finite complex $K$.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0111151
dc.identifierhttp://arxiv.org/abs/math/0111151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62639
dc.subjectAlgebraic Topology
dc.subject55Q05
dc.titleMiller Spaces and Spherical Resolvability of Finite Complexes
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