On some results of analysis for fuzzy metric spaces. (English) Zbl 0917.54010

George, A.; Veeramani, P.

Fuzzy Sets Syst. 90, No. 3, 365-368 (1997).

Summary: A necessary and sufficient condition for a fuzzy metric space to be complete is given. The authors prove that a subspace of a separable fuzzy metric space is separable and every separable fuzzy metric space is second countable. A uniform limit theorem is generalized to fuzzy metric spaces.

MSC:

54A40	Fuzzy topology
54E50	Complete metric spaces
54D65	Separability of topological spaces

Keywords:

fuzzy metric space

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