On some low separation axioms via \(\lambda\)-open and \(\lambda\)-closure operator
type: Item
instance of: scholarly article
title: On some low separation axioms via \(\lambda\)-open and \(\lambda\)-closure operator
zbMATH Open document ID: 1117.54014
DOI: 10.1007/BF02874634
author: N. E. Zubov
publication date: 2007-02-02T00:00:00Z
review text: A subset of a topological space is called a \(\lambda\)-closed set, if it is an intersection of a closed set and of an intersection of open sets. Using this kind of closedness, the separation axioms \(R_0\) and \(R_1\) are modified to \(\lambda\)-\(R_0\) and \(\lambda\)-\(R_1\). Thus, e.g., \(X\) is a \(\lambda\)-\(R_0\)-space if every \(\lambda\)-open set contains a \(\lambda\)-closure of each of its points. Basic properties and relations for those new separations are studied.
Mathematics Subject Classification ID: 54B05
Mathematics Subject Classification ID: 54C08
Mathematics Subject Classification ID: 54D05
zbMATH DE Number: 5121514
zbMATH Keywords: Topological spaces
zbMATH Keywords: \(\lambda\)-open sets
zbMATH Keywords: \(\lambda\)-closure
zbMATH Keywords: \(\lambda\)-\(R_0\) and \(\lambda\)-\(R_1\)
reviewed by: M. Hušek
MaRDI profile type: Publication
cites work: Q4345459
cites work: Q3527610
cites work: Computer graphics and connected topologies on finite ordered sets
cites work: Q4228828
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 5121514