Fuzzy pretopological spaces, an extensional topological extension of FTS
type: Item
instance of: scholarly article
title: Fuzzy pretopological spaces, an extensional topological extension of FTS
zbMATH Open document ID: 0935.54011
DOI: 10.1142/S0252959999000345
author: Dexue Zhang
published in: Chinese Annals of Mathematics. Series B
publication date: 2000-05-09T00:00:00Z
review text: Introducing the category \textbf{FprTop} of fuzzy pretopological spaces, the author proves that this category is a well-fibred extensional topological construct and a finally dense extension of the well-known category \textbf{FTS} of fuzzy topological spaces [\textit{R. Lowen}, J. Math. Anal. Appl. 56, 621-633 (1976; Zbl 0342.54003)]. The category \textbf{FPrTop} contains both the category \textbf{PrTop} of pretopological spaces and the category \textbf{PNeigh} of probabilistic neighborhood spaces [\textit{H. Herrlich} and \textit{D. Zhang}, Appl. Categ. Struct. 6, No. 4, 495-513 (1998; Zbl 0917.54003)] as simultaneously bireflective and bicoreflective subcategories.
reviewed by: T. M. G. Ahsanullah
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 18B30
zbMATH DE Number: 1385316
Wikidata QID: Q58331974
MaRDI profile type: Publication
full work available at URL: s0252959999000345
OpenAlex ID: W2349476211
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description: scientific article; zbMATH DE number 1385316