On lower and upper semi-continuous functions
type: Item
instance of: scholarly article
title: On lower and upper semi-continuous functions
zbMATH Open document ID: 1449.54004
author: S. Vadakasi
author: V. Renukadevi
published in: Acta Mathematica Hungarica
publication date: 2020-02-26T00:00:00Z
review text: The authors study semi-continuous functions and Baire spaces in the context of generalized topological spaces. In particular, they give conditions which guarantee that a real-valued semi-continuous function is cliquish. (If \(\lambda\) and \(\mu\) are generalized topologies on a set \(X\), a real-valued function \(f\) on \(X\) is called \((\lambda, \mu)\)-cliquish if the set of all points in which \(f\) is \(\mu\)-continuous, is \(\lambda\)-dense.)
reviewed by: Heinz-Peter Butzmann
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54A10
zbMATH DE Number: 7174996
zbMATH Keywords: nowhere dense
zbMATH Keywords: strongly nowhere dense
zbMATH Keywords: Baire space
zbMATH Keywords: lower (upper) semi-continuous function
zbMATH Keywords: cliquish function
MaRDI profile type: Publication
full work available at URL: s10474-019-01013-5
OpenAlex ID: W2994688839
DOI: 10.1007/S10474-019-01013-5
description: scientific article