Abstract

In this paper we introduce the notion of fuzzy uniform spaces. In Section 2 we give some basic results and show how a fuzzy topology is derived from a fuzzy uniformity. In Sections 3 and 4 we prove that the notions which are introduced are good extensions and we prove that the category of uniform spaces is nicely injected in the category of fuzzy uniform spaces. Finally in Section 5 we prove some basic results

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