Local compactness in fuzzy convergence spaces
type: Item
instance of: scholarly article
title: Local compactness in fuzzy convergence spaces
zbMATH Open document ID: 0992.54010
author: Y. Boissy
author: Gary Richardson
author: Paul Brock
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-07-04T00:00:00Z
review text: The authors introduce and investigate two notions of locally compact fuzzy convergence spaces, continuing \textit{G. Jäger}'s paper on relative compactness [Fuzzy Sets Syst. 101, No. 1, 159-165 (1999; Zbl 0930.54008)]. Among others they show that the categories of these spaces are coreflective subcategories of the category of fuzzy convergence spaces.
reviewed by: Bernhard Behrens
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54D45
Mathematics Subject Classification ID: 54D15
zbMATH DE Number: 1763465
zbMATH Keywords: Choquet convergence space
zbMATH Keywords: fuzzy convergence space
zbMATH Keywords: regularity
zbMATH Keywords: relative compactness
zbMATH Keywords: local precompactness
MaRDI profile type: Publication
OpenAlex ID: W2046468437
cites work: Compactness in fuzzy convergence spaces
cites work: Relative compact fuzzy subsets in fuzzy convergence spaces
cites work: Regular completions of Cauchy spaces
cites work: Locally compact convergence spaces
cites work: The regularity series of a convergence space
cites work: The categorical topology approach to fuzzy topology and fuzzy convergence
cites work: Convergence in fuzzy topological spaces
cites work: Completeness, compactness, and precompactness in fuzzy uniform spaces. II
cites work: Regularity in fuzzy convergence spaces
cites work: Q4942562
DOI: 10.1006/JMAA.2000.7136
description: scientific article; zbMATH DE number 1763465