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Some Remarks on Partial Metric Spaces.
- Source :
-
Bulletin of the Malaysian Mathematical Sciences Society . Jul2020, Vol. 43 Issue 4, p3065-3081. 17p. - Publication Year :
- 2020
-
Abstract
- In this paper, we investigate some topological properties of partial metric spaces (in short PMS). We give some relationship between metric-like PMS, sequentially isosceles PMS and sequentially equilateral PMS. We also prove a type of Urysohn's lemma for metric-like PMS. By applying the construction of Hartman–Mycielski, we show that every bounded PMS can be isometrically embedded into a pathwise connected and locally pathwise connected PMS. In the end, we show that a partial metric space is compact iff it is totally bounded and complete. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPACT spaces (Topology)
*METRIC spaces
*TOPOLOGICAL property
Subjects
Details
- Language :
- English
- ISSN :
- 01266705
- Volume :
- 43
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Malaysian Mathematical Sciences Society
- Publication Type :
- Academic Journal
- Accession number :
- 143593105
- Full Text :
- https://doi.org/10.1007/s40840-019-00854-1