Quasi-completion of filter spaces

Nandita Rath

    Research output: Contribution to journalArticle

    Abstract

    © 2015 Academic Publications, Ltd. The category FIL of filter spaces being isomorphic to the category of grill-determined nearness spaces has become significant in the later part of the twentieth century. During that period, a substantial completion theory has been developed using the equivalence classes of filters in a filter space. However, that completion was quite general in nature, and did not allow the finest such completion. As a result, a completion functor could not be defined on FIL. In this paper, this issue is partially addressed by constructing a completion that is finer than the existing completions. Also, a completion functor is defined on a subcategory of FIL comprising all filter spaces as objects.
    Original languageEnglish
    Pages (from-to)461-470
    JournalInternational Journal of Pure and Applied Mathematics
    Volume104
    Issue number3
    DOIs
    Publication statusPublished - 2015

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    Equivalence classes
    Completion
    Filter
    Functor
    Equivalence class
    Isomorphic

    Cite this

    Rath, Nandita. / Quasi-completion of filter spaces. In: International Journal of Pure and Applied Mathematics. 2015 ; Vol. 104, No. 3. pp. 461-470.
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    Quasi-completion of filter spaces. / Rath, Nandita.

    In: International Journal of Pure and Applied Mathematics, Vol. 104, No. 3, 2015, p. 461-470.

    Research output: Contribution to journalArticle

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