approach merotopological spaces and their completion
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ID: 199652
2010
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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.
| Reference Key |
khare2010internationalapproach
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|---|---|
| Authors | ;Mona Khare;Surabhi Tiwari |
| Journal | structural engineering and mechanics |
| Year | 2010 |
| DOI |
10.1155/2010/409804
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| URL | |
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