Topological Dimension
In this article we will establish some basic but pivotal results regarding dimension of spaces with relative topologies. Most of the results are known to the readers but we have established their generalization through a simple variational approach. In the creative process, focus has been on well...
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| Format: | Article |
| Language: | English |
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University of Peshawar
2010
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| Online Access: | http://irep.iium.edu.my/1802/ http://irep.iium.edu.my/1802/1/Top_Dim.pdf |
| _version_ | 1848775920786079744 |
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| author | Azram, Mohammad |
| author_facet | Azram, Mohammad |
| author_sort | Azram, Mohammad |
| building | IIUM Repository |
| collection | Online Access |
| description | In this article we will establish some basic but pivotal results regarding dimension of spaces with relative topologies. Most of the results are known to the readers but we have established their generalization through a simple variational approach. In the creative process, focus has been on well defined simple concepts as an expeditious means of involving mathematics loving students in research. We have established that any subset A of ε1 with dense Ac of ε1 is of 0-dimension. Using inductive approach, we have proved that dimension is in fact a topological invariant. |
| first_indexed | 2025-11-14T14:21:52Z |
| format | Article |
| id | iium-1802 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:52Z |
| publishDate | 2010 |
| publisher | University of Peshawar |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-18022011-10-03T04:32:07Z http://irep.iium.edu.my/1802/ Topological Dimension Azram, Mohammad QA Mathematics In this article we will establish some basic but pivotal results regarding dimension of spaces with relative topologies. Most of the results are known to the readers but we have established their generalization through a simple variational approach. In the creative process, focus has been on well defined simple concepts as an expeditious means of involving mathematics loving students in research. We have established that any subset A of ε1 with dense Ac of ε1 is of 0-dimension. Using inductive approach, we have proved that dimension is in fact a topological invariant. University of Peshawar 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1802/1/Top_Dim.pdf Azram, Mohammad (2010) Topological Dimension. Journal of Science and Technology, 32 (1&2). pp. 21-22. ISSN 0250 - 5339 http://www.upesh.edu.pk/journalsuop.php |
| spellingShingle | QA Mathematics Azram, Mohammad Topological Dimension |
| title | Topological Dimension |
| title_full | Topological Dimension |
| title_fullStr | Topological Dimension |
| title_full_unstemmed | Topological Dimension |
| title_short | Topological Dimension |
| title_sort | topological dimension |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1802/ http://irep.iium.edu.my/1802/ http://irep.iium.edu.my/1802/1/Top_Dim.pdf |