Approach Merotopological Spaces and their Completion

Mona Khare and Surabhi Tiwari

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-16

Abstract:

This paper introduces the concept of an approach merotopological space and studies its category-theoretic properties. Various topological categories are shown to be embedded into the category whose objects are approach merotopological spaces. The order structure of the family of all approach merotopologies on a nonempty set is discussed. Employing the theory of bunches, bunch completion of an approach merotopological space is constructed. The present study is a unified look at the completion of metric spaces, approach spaces, nearness spaces, merotopological spaces, and approach merotopological spaces.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:409804

DOI: 10.1155/2010/409804

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