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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...

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Main Author: Azram, Mohammad
Format: Article
Language:English
Published: University of Alba Iulia, Romania 2011
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/1770/1/Paper7-Acta25-2011.pdf
http://irep.iium.edu.my/1770/
http://www.emis.de/journals/AUA/index.html
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spelling my.iium.irep.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 REM 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
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
On the metrization
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.
format Article
author Azram, Mohammad
author_facet Azram, Mohammad
author_sort Azram, Mohammad
title On the metrization
title_short On the metrization
title_full On the metrization
title_fullStr On the metrization
title_full_unstemmed On the metrization
title_sort on the metrization
publisher University of Alba Iulia, Romania
publishDate 2011
url http://irep.iium.edu.my/1770/1/Paper7-Acta25-2011.pdf
http://irep.iium.edu.my/1770/
http://www.emis.de/journals/AUA/index.html
_version_ 1643604857842565120
score 13.160551

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