On \(g\)-\(\alpha\)-irresolute functions
type: Item
instance of: scholarly article
title: On \(g\)-\(\alpha\)-irresolute functions
zbMATH Open document ID: 1240.54002
author: Y.-P. Zuo
author: Shizhong Bai
published in: Acta Mathematica Hungarica
publication date: 2011-12-19T00:00:00Z
review text: Initiating the discussion with some existing definitions like those of generalized topological spaces, \(g\)-semi-open sets, \(g\)-pre-open sets and others in generalized topological spaces and some mappings with generalized topological spaces as domains and co-domains, the authors introduce the concept of \(g\)-\(\alpha\)-irresolute functions. As usual, characterization theorems are enunciated. The relationship with some other previously introduced mappings is depicted diagrammatically. Examples are provided to justify those cases when the converse implications do not hold. \(g\)-\(\alpha\)-irresolute mappings are utilized to show the invariance of \(\alpha\)-connectedness and \(\alpha\)-compactness in the perspective of generalized topological spaces.
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54D05
zbMATH DE Number: 5990539
zbMATH Keywords: generalized topological space
zbMATH Keywords: \(g\)-\(\alpha\)-open set
zbMATH Keywords: g-\(\alpha\)-irresolute function
MaRDI profile type: Publication
full work available at URL: s10474-010-0014-x
OpenAlex ID: W1990614402
cites work: Generalized topology, generalized continuity
cites work: Generalized open sets in generalized topologies
cites work: Generalized open sets
cites work: \(\gamma\)-compact spaces
cites work: Product of the generalized topologies
cites work: \(\gamma\)-connected sets
cites work: Weak continuity on generalized topological spaces
cites work: Almost continuity on generalized topological spaces
cites work: Generalized continuous functions defined by generalized open sets on generalized topological spaces
cites work: A note on generalized connectedness
cites work: Remarks on products of generalized topologies
DOI: 10.1007/S10474-010-0014-X
description: scientific article; zbMATH DE number 5990539