On the metrization
In this article, we have studied the concept, property and inter-relationship 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...
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/2786/ http://irep.iium.edu.my/2786/ http://irep.iium.edu.my/2786/1/ICMAE.pdf |
| Summary: | In this article, we have studied the concept, property and inter-relationship 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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