On Lebesgue Property for Fuzzy Metric Spaces

Sugata Adhya; A. Deb Ray

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arXiv · 1812.03093

On Lebesgue Property for Fuzzy Metric Spaces

Sugata Adhya·A. Deb Ray

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Abstract

We provide several characterizations of the Lebesgue property for fuzzy metric spaces. It is known that a fuzzy metric space is Lebesgue if and only if every real-valued continuous function is uniformly continuous. Here we show that it suffices to examine uniform continuity of bounded real-valued continuous functions for characterizing Lebesgue property in fuzzy setting.

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Sugata Adhya, A. Deb Ray. 2018-12-07. On Lebesgue Property for Fuzzy Metric Spaces. https://arxiv.org/abs/1812.03093

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