Countability and sequentiality in fuzzy topological spaces
type: Item
instance of: scholarly article
title: Countability and sequentiality in fuzzy topological spaces
zbMATH Open document ID: 0664.54005
DOI: 10.1016/0165-0114(89)90049-3
author: F. K. Mohannadi
author: M. W. Warner
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
review text: Lowen's `good extension' criterion is used to test countability and sequentiality definitions in fuzzy topology. Quasi-coincidence is found to yield better extensions than classical set membership.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54D65
Mathematics Subject Classification ID: 54D55
zbMATH DE Number: 4086508
zbMATH Keywords: fuzzy first countability
zbMATH Keywords: fuzzy second countability
zbMATH Keywords: Lowen's goodness criterion
zbMATH Keywords: fuzzy sequentiality
MaRDI profile type: Publication
full work available at URL: 0165-0114(89)90049-3
OpenAlex ID: W2057840426
cites work: Q5565097
cites work: On connections between the countability properties of (X,\(\omega\) (\({\mathcal T}))\) and (X,\({\mathcal T})\)
cites work: Spaces in which sequences suffice
cites work: Fuzzy points and local properties of fuzzy topological spaces
cites work: A comparison of different compactness notions in fuzzy topological spaces
cites work: Fuzzy topological groups
cites work: Fuzzy topology. I: Neighborhood structure of a fuzzy point and Moore-Smith convergence
Recommended article: Q5714353
Recommended article: Countability in \(L\)-fuzzy topology
Recommended article: Q3641797
Recommended article: On mixed fuzzy topological spaces and countability
Recommended article: Countability axioms in \(I\)-fuzzy topological spaces
Recommended article: Q2947325
Recommended article: Strong separation and strong countability in fuzzy topological spaces
Recommended article: Q2992588
Recommended article: Separation Axioms in Fuzzy Sequential Topological Spaces
Recommended article: On first countable \(L\)-fuzzy topological spaces
description: scientific article; zbMATH DE number 4086508