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Thursday, July 30, 2020 | History

2 edition of Completely adequate neighborhood systems and metrization. found in the catalog.

Completely adequate neighborhood systems and metrization.

O"Reilly, Sean

Completely adequate neighborhood systems and metrization.

by O"Reilly, Sean

  • 91 Want to read
  • 25 Currently reading

Published by Unversity of Oklahoma] in [Norman .
Written in

    Subjects:
  • Metric spaces.,
  • Uniform spaces.

  • Edition Notes

    Bibliography: leaf 13.

    Classifications
    LC ClassificationsQA3 .O43 no. 86
    The Physical Object
    Pagination13 l.
    Number of Pages13
    ID Numbers
    Open LibraryOL4859108M
    LC Control Number75628206

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Completely adequate neighborhood systems and metrization by O"Reilly, Sean Download PDF EPUB FB2

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Completely adequate neighborhood systems and metrization. the notion of a completely adequate neighborhood system for a topological space.

The article surveys recent developments on monotone normality in the context of classical theory. Particular results concern protometrisable, elastic and well ordered (F) spaces, cardinal invariants and compactifications, Borges normal spaces and the extension of continuous functions, Gartside's p-products, topological groups and the structuring mechanism introduced by A.W.

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We use neighborhood assignments and cardinal functions to give a unified approach to metrizability and uniformity. This leads to a number of characterizations of m(X), the metrizability degree of X, u(X), the uniform weight of X, and w(X), the weight of X normal (and regular), m(X) = u(X); it is unknown whether this result extends to completely regular by: 1.

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