On \(sg\)-regular space
type: Item
instance of: scholarly article
zbMATH Open document ID: 1005.54023
publication date: 2003-02-19T00:00:00Z
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 54D99
zbMATH DE Number: 1620025
zbMATH Keywords: \(sg\)-normal space
zbMATH Keywords: \(sg\)-closed set
zbMATH Keywords: semi-\(T_{1/2}\)
zbMATH Keywords: \(sg\)-regular space
MaRDI profile type: Publication
author: Manindrachandra Pal
author: P. Bhattacharyya
title: On \(sg\)-regular space
published in: Rivista di Matematica della Università di Parma. Serie 6
review text: A topological space is called \(sg\)-regular if for each \(sg\)-closed set \(F\) and each point \(x\notin F\) there exist disjoint semi-open sets \(U\) and \(V\) containing \(F\) and \(x\), respectively. The authors introduce and study this notion to some extent. In particular, it is shown that every semi-regular semi-\(T_{1/2}\) space is \(sg\)-regular, and that the semi-homeomorphic image of a \(sg\)-regular space is \(sg\)-regular.
reviewed by: Maximilian Ganster
description: scientific article; zbMATH DE number 1620025