\(\hat{g}\)-Closed sets in ideal topological spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 1249.54006
publication date: 2012-07-16T00:00:00Z
Mathematics Subject Classification ID: 54A05
zbMATH DE Number: 6056396
zbMATH Keywords: ideal topological spaces
zbMATH Keywords: semi-open sets
zbMATH Keywords: \(\hat{g}\)-closed sets
MaRDI profile type: Publication
author: J. Antony Rex Rodrigo
author: O. Ravi
author: A. Naliniramalatha
title: \(\hat{g}\)-Closed sets in ideal topological spaces
published in: Methods of Functional Analysis and Topology
review text: The authors consider a topological space \((X,\tau )\) with a specified ideal \(I\). The latter generates a local operation \(A\mapsto A^*\) on subsets of \(X\). A subset \(A\) is said to be \(I_{\hat{g}}\)-closed if \(A^*\subseteq U\) whenever \(A\subseteq U\) and \(U\) is semi-open, that is \(U\subset \operatorname{cl} (\operatorname{int} (U))\). \(A\) is \(I_{\hat{g}}\)-open, if \(X\setminus A\) is \(I_{\hat{g}}\)-closed. The paper is devoted to characterization and properties of \(I_{\hat{g}}\)-closed and \(I_{\hat{g}}\)-open sets. Relations with compactness and normality properties are also considered.
reviewed by: Anatoly N. Kochubei
description: scientific article; zbMATH DE number 6056396