A separable manifold failing to have the homotopy type of a CW-complex

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dc.creatorGabard, Alexandre
dc.date2006-09-23
dc.date.accessioned2026-07-07T07:25:11Z
dc.date.available2026-07-07T07:25:11Z
dc.descriptionWe show that the Prüfer surface, which is a separable non-metrizable 2-manifold, has not the homotopy type of a CW-complex. This will follow easily from J. H. C. Whitehead's result: if one has a good approximation of an arbitrary space by a CW-complex, which fails to be a homotopy equivalence, then the given space is not homotopy equivalent to a CW-complex.
dc.description5 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0609665
dc.identifierhttp://arxiv.org/abs/math/0609665
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116636
dc.subjectGeometric Topology
dc.subject57N05; 57Q05
dc.titleA separable manifold failing to have the homotopy type of a CW-complex
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