Some categorical aspects of fuzzy topology
type: Item
instance of: scholarly article
title: Some categorical aspects of fuzzy topology
zbMATH Open document ID: 0974.54005
author: Dexue Zhang
author: Yingming Liu
author: Maokang Luo
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-12-10T00:00:00Z
review text: Research in recent years has revealed that the construct of fuzzy topological spaces behaves quite differently from that of topological spaces with respect to certain categorical properties. This paper discusses some of these aspects. In the first half of the paper the theory of sobriety is established for each finally and initially closed full subconstruct of \(L\)-\textbf{FTS}, the construct of stratified \(L\)-topological spaces and continuous mappings. In the second half of the paper the relationship between the construct \(L\)-\textbf{FTS} and the constructs of Šostak fuzzy topological spaces and \(L\)-fuzzifying topological spaces is presented.
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 1556937
MaRDI profile type: Publication
full work available at URL: jmaa.2000.7036
OpenAlex ID: W2089782941
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DOI: 10.1006/JMAA.2000.7036
description: scientific article; zbMATH DE number 1556937