The number of weakly compact convex subsets of the Hilbert space

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dc.creatorAvilés, Antonio
dc.date2009-03-01
dc.date.accessioned2026-07-07T12:48:02Z
dc.date.available2026-07-07T12:48:02Z
dc.descriptionWe prove that for k an uncountable cardinal, there exist 2^k many non homeomorphic weakly compact convex subsets of weight k in the Hilbert space of density k.
dc.identifierhttps://arxiv.org/abs/0903.0163
dc.identifierhttp://arxiv.org/abs/0903.0163
dc.identifierTopology Appl. 155, No. 15, 1720-1725 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221919
dc.subjectGeneral Topology
dc.subjectFunctional Analysis
dc.subject54B35, 52A07
dc.titleThe number of weakly compact convex subsets of the Hilbert space
dc.typetext

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