Almost continuity on generalized topological spaces
type: Item
instance of: scholarly article
title: Almost continuity on generalized topological spaces
zbMATH Open document ID: 1224.54038
published in: Acta Mathematica Hungarica
publication date: 2011-02-08T00:00:00Z
review text: In the background of the notions of generalized neighbourhood systems and generalized topological spaces, the notions of continuous functions and associated interior and closure operators were introduced by Á. Császár in 2002. The author introduces in the same background the notion of almost \((g,g')\)-continuity and investigates properties of such functions and relationships among \((g,g')\)-continuity, almost \((g,g')\)-continuity and weak \((g, g')\)-continuity. A necessary and sufficient condition for a function from a generalized topological space to another such space is studied with the help of some concepts introduced by the author. Necessary examples are provided.
Mathematics Subject Classification ID: 54C08
Mathematics Subject Classification ID: 54A05
zbMATH DE Number: 5848551
zbMATH Keywords: almost \((g,g')\)-continuous
zbMATH Keywords: weakly \((g,g')\)-continuous
zbMATH Keywords: \((g,g')\)-continuous
author: Won Keun Min
MaRDI profile type: Publication
full work available at URL: s10474-009-8230-y
OpenAlex ID: W2031776663
cites work: Generalized topology, generalized continuity
cites work: Generalized open sets in generalized topologies
cites work: \(\delta\)- and \(\theta\)-modifications of generalized topologies
cites work: Some results on generalized topological spaces and generalized systems
cites work: Mixed weak continuity on generalized topological spaces
DOI: 10.1007/S10474-009-8230-Y
description: scientific article; zbMATH DE number 5848551