Subcategories of filter tower spaces

    Authors

    J. Minkler; G. Minkler;G. Richardson

    Abbreviated Journal Title

    Appl. Categ. Struct.

    Keywords

    filter tower spaces; convergence approach spaces; completions; t-norm; T-regular sequences; Mathematics

    Abstract

    The concept of a convergence tower space, or equivalently, a convergence approach space is formulated here in the context of a Cauchy setting in order to include a completion theory. Subcategories of filter tower spaces are defined in terms of axioms involving a general t-norm, T, in order to include a broad range of spaces. A T-regular sequence for a filter tower space is defined and, moreover, it is shown that the category of T-regular objects is a bireflective subcategory of all filter tower spaces. A completion theory for subcategories of filter tower spaces is given.

    Journal Title

    Applied Categorical Structures

    Volume

    9

    Issue/Number

    4

    Publication Date

    1-1-2001

    Document Type

    Article

    Language

    English

    First Page

    369

    Last Page

    379

    WOS Identifier

    WOS:000170047600004

    ISSN

    0927-2852

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