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dc.contributor.authorMoors, Warren B.
dc.contributor.authorSomasundaram, Sivajah
dc.date.accessioned2008-11-04T02:16:36Z
dc.date.available2008-11-04T02:16:36Z
dc.date.issued2002-06
dc.identifier.citationMoors, W.B. & Somasundaram, S. (2002). A weakly Stegall space that is not a Stegall space. In Proceedings of the Mathematical Society, 131, 647-654.en_US
dc.identifier.issn1088-6826
dc.identifier.urihttps://hdl.handle.net/10289/1269
dc.description.abstractA topological space X is said to belong to the class of Stegall (weakly Stegall) spaces if for every Baire (complete metric) space B and minimal usco φ : B2X, φ is single-valued at some point of B. In this paper we show that under some additional set-theoretic assumptions that are equiconsistent with the existence of a measurable cardinal there is a Banach space X whose dual, equipped with the weak topology, is in the class of weakly Stegall spaces but not in the class of Stegall spaces. This paper also contains an example of a compact space K such that K belongs to the class of weakly Stegall spaces but ( C(K), weak) does not.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherDepartment of Mathematics, University of Waikatoen_NZ
dc.rightsFirst published in Proceedings of the Mathematical Society in volume 131, pages 647-654, published by the American Mathematical Society. Copyright 2002, American Mathematical Society.en_US
dc.subjectWeak Asplunen_US
dc.subjectalmost weak Asplunden_US
dc.subjectStegall spaceen_US
dc.subjectweakly Stegall spaceen_US
dc.titleA weakly Stegall space that is not a Stegall spaceen_US
dc.typeJournal Articleen_US
dc.identifier.doi10.1090/S0002-9939-02-06717-5en_US
pubs.elements-id55339
pubs.place-of-publicationHamiltonen_NZ


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