Approach Merotopological Spaces and their Completion
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 merotop...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/409804 |
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| _version_ | 1832556664620843008 |
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| author | Mona Khare Surabhi Tiwari |
| author_facet | Mona Khare Surabhi Tiwari |
| author_sort | Mona Khare |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-37e8a4d6882f45758302c6bd5494b273 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-37e8a4d6882f45758302c6bd5494b2732025-02-03T05:44:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/409804409804Approach Merotopological Spaces and their CompletionMona Khare0Surabhi Tiwari1Department of Mathematics, University of Allahabad, Allahabad 211002, IndiaDepartment of Mathematics, University of Allahabad, Allahabad 211002, IndiaThis 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.http://dx.doi.org/10.1155/2010/409804 |
| spellingShingle | Mona Khare Surabhi Tiwari Approach Merotopological Spaces and their Completion International Journal of Mathematics and Mathematical Sciences |
| title | Approach Merotopological Spaces and their Completion |
| title_full | Approach Merotopological Spaces and their Completion |
| title_fullStr | Approach Merotopological Spaces and their Completion |
| title_full_unstemmed | Approach Merotopological Spaces and their Completion |
| title_short | Approach Merotopological Spaces and their Completion |
| title_sort | approach merotopological spaces and their completion |
| url | http://dx.doi.org/10.1155/2010/409804 |
| work_keys_str_mv | AT monakhare approachmerotopologicalspacesandtheircompletion AT surabhitiwari approachmerotopologicalspacesandtheircompletion |