Regularity: Lattice-valued Cauchy spaces

    Authors

    H. Boustique;G. Richardson

    Comments

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    Abbreviated Journal Title

    Fuzzy Sets Syst.

    Keywords

    Lattice-valued Cauchy spaces; Regularity; Completions; CONVERGENCE SPACES; COMPLETIONS; Computer Science, Theory & Methods; Mathematics, Applied; Statistics &; Probability

    Abstract

    A category of lattice-valued Cauchy spaces is defined, and its properties are investigated. The relationship between this category and the recent work by Jager is presented. The notion of regularity in the Cauchy space context is the primary emphasis here. In particular, the category consisting of the regular Cauchy spaces is shown to be bireflective in the category of all lattice-valued Cauchy spaces having Cauchy-continuous maps as its morphisms. Moreover, completions are also investigated. (C) 2011 Elsevier B.V. All rights reserved.

    Journal Title

    Fuzzy Sets and Systems

    Volume

    190

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    94

    Last Page

    104

    WOS Identifier

    WOS:000300475200007

    ISSN

    0165-0114

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