Original Articles

PRECOMPACTNESS IN FUZZY UNIFORM SPACES

Published in: Quaestiones Mathematicae
Volume 16 , issue 1 , 1993 , pages: 37–49

DOI: 10.1080/16073606.1993.9631713

Author(s): M.H. Burton , South Africa

Keywords: 54E15 , 54A40 , 03E72

Abstract

The notion of a precompact fuzzy set in a fuzzy uniform space is defined and it is shown that this is a good extension of the standard notion. A theory of precompact fuzzy sets is developed using the previously defined notion of a Cauchy prefilter in a fuzzy uniform space and this theory generalises standard theory.

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THE FRAME ENVELOPE OF A σ-FRAME »