On Lebesgue Property for Fuzzy Metric Spaces
General Topology
2021-09-30 v2
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.
Keywords
Cite
@article{arxiv.1812.03093,
title = {On Lebesgue Property for Fuzzy Metric Spaces},
author = {Sugata Adhya and A. Deb Ray},
journal= {arXiv preprint arXiv:1812.03093},
year = {2021}
}
Comments
9 pages