On completeness of quasi-pseudometric spaces
We discuss completeness in terms of a notion of absolute closure. This will be done in the context of separated quasi-pseudometric spaces and bitopological spaces. The notion is equivalent to the classical notion of completeness when restricted to the class of metric spaces.
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2933 |
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| _version_ | 1832565147325956096 |
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| author | Seithuti P. Moshokoa |
| author_facet | Seithuti P. Moshokoa |
| author_sort | Seithuti P. Moshokoa |
| collection | DOAJ |
| description | We discuss completeness in terms of a notion of absolute closure. This will be done in the context of separated quasi-pseudometric spaces and bitopological spaces. The notion is equivalent to the classical notion of completeness when restricted to the class of metric spaces. |
| format | Article |
| id | doaj-art-211ccad808ab4ee189fb0cca9d8065f3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-211ccad808ab4ee189fb0cca9d8065f32025-02-03T01:09:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005182933294310.1155/IJMMS.2005.2933On completeness of quasi-pseudometric spacesSeithuti P. Moshokoa0Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, P.O. Box 392, Pretoria 0003, South AfricaWe discuss completeness in terms of a notion of absolute closure. This will be done in the context of separated quasi-pseudometric spaces and bitopological spaces. The notion is equivalent to the classical notion of completeness when restricted to the class of metric spaces.http://dx.doi.org/10.1155/IJMMS.2005.2933 |
| spellingShingle | Seithuti P. Moshokoa On completeness of quasi-pseudometric spaces International Journal of Mathematics and Mathematical Sciences |
| title | On completeness of quasi-pseudometric spaces |
| title_full | On completeness of quasi-pseudometric spaces |
| title_fullStr | On completeness of quasi-pseudometric spaces |
| title_full_unstemmed | On completeness of quasi-pseudometric spaces |
| title_short | On completeness of quasi-pseudometric spaces |
| title_sort | on completeness of quasi pseudometric spaces |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2933 |
| work_keys_str_mv | AT seithutipmoshokoa oncompletenessofquasipseudometricspaces |