Spaces of continuous functions over Dugundji compacta

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dc.creatorBanakh, Taras
dc.creatorKubis, Wieslaw
dc.date2006-10-26
dc.date2007-06-26
dc.date.accessioned2026-07-07T08:12:20Z
dc.date.available2026-07-07T08:12:20Z
dc.descriptionWe show that for every Dugundji compact $K$ of weight aleph one the Banach space $C(K)$ is 1-Plichko and the space $P(K)$ of probability measures on $K$ is Valdivia compact. Combining this result with the existence of a non-Valdivia compact group, we answer a question of Kalenda.
dc.description8 pages; corrected
dc.identifierhttps://arxiv.org/abs/math/0610795
dc.identifierhttp://arxiv.org/abs/math/0610795
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132418
dc.subjectFunctional Analysis
dc.subjectGeneral Topology
dc.subjectPrimary: 46B26; Secondary: 46E15, 54C35, 54D30
dc.titleSpaces of continuous functions over Dugundji compacta
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