Closures and topological closures in quasi-discrete closure spaces
type: Item
instance of: scholarly article
title: Closures and topological closures in quasi-discrete closure spaces
zbMATH Open document ID: 1193.54001
author: Guilong Liu
published in: Applied Mathematics Letters
publication date: 2010-06-09T00:00:00Z
review text: First for a finite set \(U\) and then an infinite set \(U\), the author establishes a one to one correspondence between the quasi-discrete closures on \(U\) and the reflexive relations on \(U\) and shows that \(S\) is the transitive closure of \(R\) if \(R\) and \(S\) are the relations determined by the closures cl and \(\text{cl}_T\) (the topological closure induced by cl), respectively.
reviewed by: Bernhard Behrens
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54A10
zbMATH DE Number: 5718417
zbMATH Keywords: closure
zbMATH Keywords: topological closure
zbMATH Keywords: quasi-discrete closure
zbMATH Keywords: binary relation
zbMATH Keywords: Boolean matrix
zbMATH Keywords: transitive closure of a relation
MaRDI profile type: Publication
full work available at URL: j.aml.2010.03.007
OpenAlex ID: W2025771696
cites work: Q3226265
cites work: Q5516652
cites work: Closure operations for digital topology.
cites work: Semi-metrics, closure spaces and digital topology
cites work: Some methods for generating topologies by relations
cites work: A generalized topological view of motion in discrete space.
cites work: Q4846808
DOI: 10.1016/J.AML.2010.03.007
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description: scientific article; zbMATH DE number 5718417