Local compactness in fuzzy convergence spaces

    Authors

    Y. Boissy; P. Brock;G. Richardson

    Comments

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    Abbreviated Journal Title

    J. Math. Anal. Appl.

    Keywords

    fuzzy convergence; relative compactness; precompactness; local; precompactness; Mathematics, Applied; Mathematics

    Abstract

    Two notions of local precompactness in the realm of fuzzy convergence spaces are investigated. It is shown that the property of local precompactness possesses a "good extension." Moreover, for each given fuzzy convergence space, there exists a coarsest locally precompact space which is finer than the original space. Continuity between fuzzy spaces is preserved between the associated locally precompact spaces. Invariance of regularity with respect to taking locally precompact modifications is discussed. (C) 2002 Elsevier Science (USA).

    Journal Title

    Journal of Mathematical Analysis and Applications

    Volume

    268

    Issue/Number

    2

    Publication Date

    1-1-2002

    Document Type

    Article

    Language

    English

    First Page

    406

    Last Page

    416

    WOS Identifier

    WOS:000175400300003

    ISSN

    0022-247X

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