Some Properties of Fuzzy Quasimetric Spaces
Some properties of fuzzy quasimetric spaces are studied. We prove that the topology induced by any 0𝑥0005𝑒𝑀-complete fuzzy-quasi-space is a 0𝑥0005𝑒𝑑-complete quasimetric space. We also prove Baire's theorem, uniform limit theorem, and second countability result for fuzzy quasi-metric spaces....
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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/10.1155/2010/514747 |
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| _version_ | 1832550346332831744 |
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| author | Abdul Mohamad |
| author_facet | Abdul Mohamad |
| author_sort | Abdul Mohamad |
| collection | DOAJ |
| description | Some properties of fuzzy quasimetric spaces are studied. We prove that the topology
induced by any 0𝑥0005𝑒𝑀-complete fuzzy-quasi-space is a 0𝑥0005𝑒𝑑-complete quasimetric space. We
also prove Baire's theorem, uniform limit theorem, and second countability result for fuzzy
quasi-metric spaces. |
| format | Article |
| id | doaj-art-3c5a918942ca4317a0bd3bc9629259b4 |
| 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-3c5a918942ca4317a0bd3bc9629259b42025-02-03T06:06:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/514747514747Some Properties of Fuzzy Quasimetric SpacesAbdul Mohamad0Department of Mathematics and Statistics, Sultan Qaboos University, Muscat 123, OmanSome properties of fuzzy quasimetric spaces are studied. We prove that the topology induced by any 0𝑥0005𝑒𝑀-complete fuzzy-quasi-space is a 0𝑥0005𝑒𝑑-complete quasimetric space. We also prove Baire's theorem, uniform limit theorem, and second countability result for fuzzy quasi-metric spaces.http://dx.doi.org/10.1155/2010/514747 |
| spellingShingle | Abdul Mohamad Some Properties of Fuzzy Quasimetric Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Some Properties of Fuzzy Quasimetric Spaces |
| title_full | Some Properties of Fuzzy Quasimetric Spaces |
| title_fullStr | Some Properties of Fuzzy Quasimetric Spaces |
| title_full_unstemmed | Some Properties of Fuzzy Quasimetric Spaces |
| title_short | Some Properties of Fuzzy Quasimetric Spaces |
| title_sort | some properties of fuzzy quasimetric spaces |
| url | http://dx.doi.org/10.1155/2010/514747 |
| work_keys_str_mv | AT abdulmohamad somepropertiesoffuzzyquasimetricspaces |