Subcategories of lattice-valued convergence spaces
type: Item
instance of: scholarly article
title: Subcategories of lattice-valued convergence spaces
zbMATH Open document ID: 1086.54006
author: G. Jäger
published in: Fuzzy Sets and Systems
publication date: 2006-01-24T00:00:00Z
review text: Let \(L\) be a complete Heyting algebra. A (stratified) \(L\)-filter on a set \(X\) is a function \(L^X\longrightarrow L\) with certain conditions. A stratified \(L\)-convergence structure on \(X\) is a function from the set of all stratified \(L\)-filters on \(X\) to \(L^X\). The author studies several subcategories of \(L\)-valued convergence spaces. These subcategories generalize the categories of Kent convergence spaces, limit spaces, pretopological spaces, and pseudotopological spaces to the Heyting algebra-valued setting.
reviewed by: Dexue Zhang
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 5001332
zbMATH Keywords: \(L\)-fuzzy convergence
zbMATH Keywords: \(L\)-topology
zbMATH Keywords: \(L\)-filter
zbMATH Keywords: complete Heyting algebra
MaRDI profile type: Publication
full work available at URL: j.fss.2005.04.013
OpenAlex ID: W2032915340
cites work: Q5788019
cites work: Limesräume
cites work: Q4121153
cites work: Q3898534
cites work: Q4836218
cites work: MV-ALGEBRA VALUED FILTER THEORY
cites work: Many valued topology and its applications
cites work: Axiomatic foundations of fixed-basis fuzzy topology
cites work: A CATEGORY OF L-FUZZY CONVERGENCE SPACES
cites work: Q4547914
cites work: Convergence functions and their related topologies
cites work: On convergence groups and convergence uniformities
cites work: Limesräume und Komplettierung
cites work: The categorical topology approach to fuzzy topology and fuzzy convergence
cites work: Q4039819
cites work: Q4844852
DOI: 10.1016/J.FSS.2005.04.013
description: scientific article; zbMATH DE number 5001332