On continuity in generalized topology
type: Item
instance of: scholarly article
title: On continuity in generalized topology
zbMATH Open document ID: 1469.54013
author: Małgorzata Turowska
author: Stanisław Kowalczyk
published in: Topology and its Applications
publication date: 2021-06-03T00:00:00Z
review text: The aim of the present paper is to study the characterization of the set of points of generalized continuity due to Császár for functions \(f:X\rightarrow Y\) where \(X\) is a resolvable generalized topological space and \(Y\) is a nondiscrete Moore space. Also, some properties of the set of points of path continuity via generalized topological spaces due to Császár are investigated.
reviewed by: Erdal Ekici
Mathematics Subject Classification ID: 54C08
Mathematics Subject Classification ID: 54A05
zbMATH DE Number: 7354980
zbMATH Keywords: set of points of continuity
zbMATH Keywords: generalized topology
zbMATH Keywords: generalized continuity
zbMATH Keywords: path continuity
zbMATH Keywords: resolvability
MaRDI profile type: Publication
full work available at URL: j.topol.2021.107702
OpenAlex ID: W3159280178
cites work: Q2944327
cites work: Sets of Points of Discontinuity
cites work: Some properties of porouscontinuous functions
cites work: Differentiation of real functions
cites work: Path Derivatives: A Unified View of Certain Generalized Derivatives
cites work: Q5403266
cites work: Q3373901
cites work: Generalized topology, generalized continuity
cites work: Product of the generalized topologies
cites work: On some abstract density topologies
cites work: Q4923735
cites work: Independent families and resolvability
cites work: A problem of set-theoretic topology
cites work: Topologies generated by porosity and strong porosity
cites work: On O’Malley ϱ-upper continuous functions
cites work: Methods of comparison of families of real functions in porosity terms
cites work: On structural properties of porouscontinuous functions
cites work: Topologies generated by porosity and maximal additive and multiplicative families for porouscontinuous functions
cites work: Semi-Open Sets and Semi-Continuity in Topological Spaces
cites work: Q5623928
cites work: Q4482418
cites work: Q4095109
cites work: Quasi-continuity
cites work: Q3934726
cites work: Q5613067
cites work: Real functions
cites work: Axioms for Moore spaces and metric spaces
cites work: Q4788814
cites work: Porosity, \({\mathcal I}\)-density topology and abstract density topologies
DOI: 10.1016/J.TOPOL.2021.107702
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description: scientific article; zbMATH DE number 7354980