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On two problems concerning Eberlein compacta

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dc.abstract.enWe discuss two problems concerning the class Eberlein compacta, i.e., weakly compact subspaces of Banach spaces. The first one deals with preservation of some classes of scattered Eberlein compacta under continuous images. The second one concerns the known problem of the existence of nonmetrizable compact spaces without nonmetrizable zero-dimensional closed subspaces. We show that the existence of such Eberlein compacta is consistent with ZFC. We also show that it is consistent with ZFC that each Eberlein compact space of weight >ω1 contains a nonmetrizable closed zero-dimensional subspace.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorMarciszewski, Witold
dc.date.accessioned2024-01-25T15:49:25Z
dc.date.available2024-01-25T15:49:25Z
dc.date.issued2021
dc.description.financePublikacja bezkosztowa
dc.description.number3
dc.description.volume115
dc.identifier.doi10.1007/S13398-021-01059-7
dc.identifier.issn1578-7303
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114890
dc.identifier.weblinkhttps://link.springer.com/content/pdf/10.1007/s13398-021-01059-7.pdf
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
dc.relation.pages1-14
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn two problems concerning Eberlein compacta
dc.typeJournalArticle
dspace.entity.typePublication