Some questions in fuzzy metric spaces
✍ Scribed by Valentín Gregori; Juan-José Miñana; Samuel Morillas
- Book ID
- 116496094
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 258 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
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We prove that the topology induced by any (complete) fuzzy metric space (in the sense of George and Veeramani) is (completely) metrizable. We also show that every separable fuzzy metric space admits a precompact fuzzy metric and that a fuzzy metric space is compact if and only if it is precompact an
In the present paper, the authors define F-open sets, F-closed sets, F-adherent points, F-limit points, F-isolated points, F-isolated sets, F-derived sets, F-closures, F-interior points, F-interior, F-exterior points, F-exterior, F-everywhere dense sets, F-nowhere dense sets and make some characteri