On the metrization
In this article, we have studied the concept, property and interrelationship of being T1-space, discrete space, metrizable space, separable space and topologically totally bounded space with finite, infinite and countable underlying set. With some additional conditions we have established equivalen...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Alba Iulia, Romania
2011
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1770/ http://irep.iium.edu.my/1770/1/Paper7-Acta25-2011.pdf |
| _version_ | 1848775914551246848 |
|---|---|
| author | Azram, Mohammad |
| author_facet | Azram, Mohammad |
| author_sort | Azram, Mohammad |
| building | IIUM Repository |
| collection | Online Access |
| description | In this article, we have studied the concept, property and interrelationship of being T1-space, discrete space, metrizable space, separable space and topologically totally bounded space with finite, infinite and countable underlying set. With some additional conditions we have established equivalence between T1-space, discrete space, metrizable space, separable space and topologically totally bounded space. At the end we have extended the same to a disjoint (free) union. |
| first_indexed | 2025-11-14T14:21:46Z |
| format | Article |
| id | iium-1770 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:46Z |
| publishDate | 2011 |
| publisher | University of Alba Iulia, Romania |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-17702011-09-09T01:12:09Z http://irep.iium.edu.my/1770/ On the metrization Azram, Mohammad QA Mathematics In this article, we have studied the concept, property and interrelationship of being T1-space, discrete space, metrizable space, separable space and topologically totally bounded space with finite, infinite and countable underlying set. With some additional conditions we have established equivalence between T1-space, discrete space, metrizable space, separable space and topologically totally bounded space. At the end we have extended the same to a disjoint (free) union. University of Alba Iulia, Romania 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1770/1/Paper7-Acta25-2011.pdf Azram, Mohammad (2011) On the metrization. Acta Universitatis Apulensis, 25. pp. 105-111. ISSN 1582-5329 http://www.emis.de/journals/AUA/index.html |
| spellingShingle | QA Mathematics Azram, Mohammad On the metrization |
| title | On the metrization |
| title_full | On the metrization |
| title_fullStr | On the metrization |
| title_full_unstemmed | On the metrization |
| title_short | On the metrization |
| title_sort | on the metrization |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1770/ http://irep.iium.edu.my/1770/ http://irep.iium.edu.my/1770/1/Paper7-Acta25-2011.pdf |