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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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Main Author: Azram, Mohammad
Format: Article
Language:English
Published: University of Peshawar 2010
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/1802/1/Top_Dim.pdf
http://irep.iium.edu.my/1802/
http://www.upesh.edu.pk/journalsuop.php
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Azram, Mohammad
Topological Dimension
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.
format Article
author Azram, Mohammad
author_facet Azram, Mohammad
author_sort Azram, Mohammad
title Topological Dimension
title_short Topological Dimension
title_full Topological Dimension
title_fullStr Topological Dimension
title_full_unstemmed Topological Dimension
title_sort topological dimension
publisher University of Peshawar
publishDate 2010
url http://irep.iium.edu.my/1802/1/Top_Dim.pdf
http://irep.iium.edu.my/1802/
http://www.upesh.edu.pk/journalsuop.php
_version_ 1643604865597833216
score 13.211869

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