Locale theory and fuzzy topology
type: Item
instance of: scholarly article
title: Locale theory and fuzzy topology
zbMATH Open document ID: 0790.54004
DOI: 10.1016/0165-0114(93)90364-N
author: R. G. McLean
author: M. W. Warner
published in: Fuzzy Sets and Systems
publication date: 1994-01-20T00:00:00Z
review text: Let \(L\) be a spatial frame and \(pt(L)\) the set of its points. The authors show that every \(L\)-fuzzy topology on a set \(X\) is frame-isomorphic to a topology on \(X\times pt(L)\). Reviewer's remark: The authors use \(L\)-fuzzy topology in a generalized sense, for there is no polarity in \(L\).
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 487505
zbMATH Keywords: spatial frame
zbMATH Keywords: \(L\)-fuzzy topology
reviewed by: Zi Ke Deng
MaRDI profile type: Publication
cites work: Connectedness in fuzzy topological spaces
cites work: Connectedness and local connectedness in fuzzy topological spaces and Heyting-algebra-valued sets
cites work: On a topological model for the category of fuzzy topological spaces. I
cites work: On a topological model for the category of fuzzy topological spaces. II
cites work: On a topological model for the category of fuzzy topological spaces. III
cites work: Compactness in fuzzy topological spaces
cites work: Q3898534
cites work: Q3965241
cites work: When is a fuzzy topology topological?
cites work: Fuzzy topological spaces and fuzzy compactness
cites work: A comparison of different compactness notions in fuzzy topological spaces
cites work: Q5639839
cites work: A categorical accommodation of various notions of fuzzy topology
cites work: The Hausdorff separation axiom for fuzzy topological spaces
cites work: Fuzzy topology with respect to continuous lattices
cites work: Frame-fuzzy points and membership
cites work: Q5605131
full work available at URL: 0165-0114(93)90364-n
OpenAlex ID: W2047695627
description: scientific article; zbMATH DE number 487505