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Hyper-Stonean envelopes of compact spaces

Dales, Harold Garth and Plebanek, Grzegorz (2018) Hyper-Stonean envelopes of compact spaces. Studia Mathematica. ISSN 0039-3223 (In Press)

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    Abstract

    Let K be a compact space, and denote by eK its hyper-Stonean envelope. We discuss the class of spaces K with the property that eK is homeomorphic toe I, the hyper-Stonean envelope of the closed unit interval I. Certainly each uncountable, compact, metrizable space K belongs to this class. We describe several further classes of compact spaces K for which eK =e I. In fact, eK =eI if and only if the Banach spaces M(K) and M(I) of measures on K and I are isometrically isomorphic.

    Item Type: Journal Article
    Journal or Publication Title: Studia Mathematica
    Subjects:
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 123473
    Deposited By: ep_importer_pure
    Deposited On: 16 Feb 2018 10:30
    Refereed?: Yes
    Published?: In Press
    Last Modified: 21 Aug 2018 01:12
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/123473

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