\({\mathfrak G}\)-fuzzy topologies on algebraic structures
type: Item
instance of: scholarly article
title: \({\mathfrak G}\)-fuzzy topologies on algebraic structures
zbMATH Open document ID: 0602.54006
DOI: 10.1016/0022-247X(85)90013-7
author: Ulrich Höhle
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: This interesting paper deals with fuzzy topologies where the fuzzy sets take values in a complete Boolean algebra and where the definition of fuzzy topologies follows the constant-requirement of the reviewer [ibid. 56, 621-633 (1976; Zbl 0342.54003)]. A well-founded theory is presented of algebraic structures endowed with such fuzzy topologies in a compatible way. Especially the completion of fuzzy topological groups and applications to spaces of abstract valued almost everywhere defined random variables is presented.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 22A30
Mathematics Subject Classification ID: 06E10
Mathematics Subject Classification ID: 13H99
Mathematics Subject Classification ID: 60H05
zbMATH DE Number: 3971710
zbMATH Keywords: complete Boolean algebras
zbMATH Keywords: fuzzy topological group
zbMATH Keywords: fuzzy topological ring
zbMATH Keywords: probabilistic completion
zbMATH Keywords: stochastic integral
zbMATH Keywords: completion of fuzzy topological groups
zbMATH Keywords: spaces of abstract valued almost everywhere defined random variables
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3971710