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
On some variational properties of metric spaces
✍ Scribed by D. Azé; J.-N. Corvellec
- Book ID
- 107508478
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 260 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1661-7738
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