On real valued \(\omega\)-continuous functions
type: Item
instance of: scholarly article
title: On real valued \(\omega\)-continuous functions
zbMATH Open document ID: 1414.54006
author: N. Rajesh
author: C. Carpintero
author: E. Rosas
published in: Acta Universitatis Sapientiae. Mathematica
publication date: 2019-03-27T00:00:00Z
review text: Elementary properties of lower and upper $\omega$-continuous real functions defined on a topological space are investigated, analogous to the common topological case ($\omega$-closure is defined as the union of $A$ and all of its condensation points). In particular, definability in terms of counter-images, existence of extrema and properties of envelopes of arbitrary families of lower $\omega$-continuous functions are exhibited.
Mathematics Subject Classification ID: 54C08
Mathematics Subject Classification ID: 26A15
Mathematics Subject Classification ID: 54C10
zbMATH DE Number: 7042984
zbMATH Keywords: generalized open sets
zbMATH Keywords: $\omega$-open set
zbMATH Keywords: $\omega$-regular set
zbMATH Keywords: lower $\omega$-continuity
zbMATH Keywords: upper $\omega$-continuity
zbMATH Keywords: order topology
zbMATH Keywords: accumulation point
reviewed by: Włodzimierz Ślęzak
MaRDI profile type: Publication
full work available at URL: ausm-2018-0019
OpenAlex ID: W2918725630
cites work: Contra-\(\omega \)-continuous and almost contra-\(\omega \)-continuous
cites work: Weak and strong forms of \(\omega \)-continuous functions
cites work: Q3694233
DOI: 10.2478/AUSM-2018-0019
description: scientific article; zbMATH DE number 7042984