Uniform properties of normal and compact fuzzy topological spaces
type: Item
instance of: scholarly article
title: Uniform properties of normal and compact fuzzy topological spaces
zbMATH Open document ID: 0647.54008
DOI: 10.1016/0022-247X(88)90079-0
author: Giuliano Artico
author: Roberto Moresco
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The main results are the fuzzy versions of the following well-known theorem: A completely regular space is normal iff the family of the finite open covers is a basis for a compatible uniformity and a completely regular compact space admits exactly one compatible uniformity. The proofs are technically based on the results of \textit{B. Hutton} [Topology Appl. 11, 59-67 (1980; Zbl 0422.54006)] and on the concepts introduced by the same authors in their previous paper [J. Math. Anal. Appl. 99, 320-337 (1984; Zbl 0558.54002)], of which this work is a natural continuation.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 4056529
zbMATH Keywords: fuzzy uniformity
zbMATH Keywords: normal spaces
zbMATH Keywords: completely regular compact space
reviewed by: Salvatore Sessa
MaRDI profile type: Publication
cites work: Fuzzy proximities and totally bounded fuzzy uniformities
cites work: Normality in fuzzy topological spaces
cites work: Uniformities on fuzzy topological spaces
cites work: Products of fuzzy topological spaces
cites work: Separation axioms in fuzzy topological spaces
full work available at URL: 0022-247x(88)90079-0
OpenAlex ID: W1990358725
description: scientific article; zbMATH DE number 4056529