On \(M_1\)- and \(M_3\)-properties in the setting of ordered topological spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 1355.54038
DOI: 10.15672/HJMS.2015449680
author: Zechariah Mushaandja
author: Hans Peter Künzi
published in: Hacettepe Journal of Mathematics and Statistics
publication date: 2016-10-13T00:00:00Z
Mathematics Subject Classification ID: 54F05
Mathematics Subject Classification ID: 54E20
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54E55
zbMATH DE Number: 6638685
zbMATH Keywords: ordered topological space
zbMATH Keywords: C-space
zbMATH Keywords: I-space
zbMATH Keywords: closure-preserving
zbMATH Keywords: pairwise \(M_1\)-bispace
zbMATH Keywords: pairwise stratifiable bispace
MaRDI profile type: Publication
full work available at URL: hjms.2015449680
OpenAlex ID: W2322909781
title: On \(M_1\)- and \(M_3\)-properties in the setting of ordered topological spaces
review text: A space \(X\) is called an \(M_1\)-space if there is a \(\sigma\)-closure preserving base for \(X\), an \(M_2\)-space if there exists a \(\sigma\)-closure preserving quasi-base for \(X\), and an \(M_3\)-space (also \textit{stratifiable space}) if there exists a \(\sigma\)-cushioned pair base for \(X\). It is known that \(M_1\Rightarrow M_2\Leftrightarrow M_3.\) In the present paper, the authors present some result about the \(M_1\)- and \(M_3\)-properties in the setting of ordered topological spaces and the corresponding classes of bitopological spaces.
reviewed by: Jorge Picado
description: scientific article; zbMATH DE number 6638685