On generalized \(R_0\) and \(R_1\) spaces
type: Item
instance of: scholarly article
title: On generalized \(R_0\) and \(R_1\) spaces
zbMATH Open document ID: 1224.54007
author: Yong-Cai Geng
author: Sumit K. Garg
published in: Acta Mathematica Hungarica
publication date: 2011-04-26T00:00:00Z
review text: The author characterizes properties of \(R_{0}\) and \(R_{1}\) topological spaces for generalized topological spaces [\textit{Á. Császár}, Acta Math. Hung. 96, No. 4, 351--357 (2002; Zbl 1006.54003)] thereby obtaining and simplifying many results on semi-\(R_{0}(R_{1})\), pre-\(R_{0}(R_{1})\), \(\delta\)-pre-\(R_{0}(R_{1})\), \(\delta \)-semi-\(R_{0}(R_{1})\), \(\delta\)-\(R_{0}(R_{1})\), \(\alpha\)-\(R_{0}(R_{1})\), \(\beta\)-\(R_{0}(R_{1}),\lambda\)-\(R_{0}(R_{1})\) and \(\Lambda_{\theta }\)-\(R_{0}(R_{1})\) topological spaces.
reviewed by: Bernhard Behrens
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 54A20
zbMATH DE Number: 5881187
zbMATH Keywords: \(g\)-open set
zbMATH Keywords: \(g\)-\(R_0\) and \(g\)-\(R_1\) space
zbMATH Keywords: \(g\)-convergence of nets
zbMATH Keywords: generalized topological space
zbMATH Keywords: generalized \(R_{0}\) topological space
zbMATH Keywords: generalized \(R_{1}\) topological space
zbMATH Keywords: generalized convergent net
MaRDI profile type: Publication
full work available at URL: s10474-009-9135-5
OpenAlex ID: W1849981643
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DOI: 10.1007/S10474-009-9135-5
description: scientific article; zbMATH DE number 5881187