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METRIZABILITY OF MULTISET TOPOLOGICAL SPACES.
- Source :
-
Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics . 2020, Vol. 13 Issue 2, p683-696. 14p. - Publication Year :
- 2020
-
Abstract
- In this paper, we have investigated one of the basic topological properties, called Metrizability in multiset topological space. Metrizable spaces are those topological spaces which are homeomorphic to a metric space. So, we first give the notion of metric between two multi-points in a finite multiset and studied some significant properties of a multiset metric space. The notion of metrizability is then studied by using this metric. Besides, the Urysohn's lemma which is considered to be one of the important tools in studying some metrization theorems in topology is also discussed in context with multisets. [ABSTRACT FROM AUTHOR]
- Subjects :
- *METRIC spaces
*TOPOLOGICAL property
*TOPOLOGICAL spaces
*TOPOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 20652151
- Volume :
- 13
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics
- Publication Type :
- Academic Journal
- Accession number :
- 148756625
- Full Text :
- https://doi.org/10.31926/but.mif.2020.13.62.2.24