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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| Format: | Article |
| Language: | English |
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University of Alba Iulia, Romania
2011
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| Online Access: | http://irep.iium.edu.my/1770/ http://irep.iium.edu.my/1770/ http://irep.iium.edu.my/1770/1/Paper7-Acta25-2011.pdf |
| Summary: | 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. |
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