A note on \(\delta\)- and \(\theta\)-modifications
type: Item
instance of: scholarly article
title: A note on \(\delta\)- and \(\theta\)-modifications
zbMATH Open document ID: 1240.54013
published in: Acta Mathematica Hungarica
publication date: 2011-12-19T00:00:00Z
review text: For generalized topological spaces, the notions of \(\delta \left( \mu_{1},\mu _{2}\right) \), \(\theta \left( \mu _{1},\mu _{2}\right) \) and \(\left(\theta \left( \mu _{1},\mu _{2}\right) ,\theta \left( \sigma_{1},\sigma _{2}\right) \right)\)-continuity were introduced by \textit{Á. Császár} and \textit{E. Makai jun\.} [Acta Math. Hung. 123, No.~3, 223--228 (2009); addendum ibid. 126, No.~1--2, 198 (2010; Zbl 1199.54004)]. In this paper, the author characterizes \(\left(\theta \left( \mu _{1},\mu _{2}\right) ,\theta \left( \sigma _{1},\sigma_{2}\right) \right)\)-continuity, introduces and characterizes \(\left(\delta \left( \mu _{1},\mu _{2}\right) ,\delta \left( \sigma _{1},\sigma_{2}\right) \right)\)-continuity and investigates the relations between these continuities; e.g.\ he shows that these continuities are equivalent on almost regular bigeneralized topological spaces (defined by him).
reviewed by: Bernhard Behrens
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54C05
Mathematics Subject Classification ID: 54D10
zbMATH DE Number: 5990621
zbMATH Keywords: generalised topological space
zbMATH Keywords: \((\theta(\mu_1,\mu_2), \theta(\sigma_1\sigma_2))\)-continuous
zbMATH Keywords: \((\delta(\mu_1,\mu_2), \delta(\sigma_1\sigma_2))\)-continuous
zbMATH Keywords: \((\sigma_1, \sigma_2)\)-almost regular
author: Won Keun Min
MaRDI profile type: Publication
full work available at URL: s10474-010-0045-3
OpenAlex ID: W2015326578
cites work: Generalized topology, generalized continuity
cites work: Further remarks on \(\delta\)- and \(\theta\)-modifications
DOI: 10.1007/S10474-010-0045-3
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description: scientific article; zbMATH DE number 5990621