Characterizations of strongly compact spaces
type: Item
instance of: scholarly article
title: Characterizations of strongly compact spaces
zbMATH Open document ID: 1179.54037
DOI: 10.1155/2009/573038
author: A. Al-Omari
author: T. Noiri
author: M. S. M. Noorani
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2009-11-10T00:00:00Z
full work available at URL: https://eudml.org/doc/45727
review text: Summary: A topological space \((X,\tau)\) is said to be strongly compact if every preopen cover of \((X,\tau)\) admits a finite subcover. In this paper, we introduce a new class of sets called \({\mathcal N}\)-preopen sets which is weaker than both open sets and \({\mathcal N}\)-open sets. Where a subset \(A\) is said to be \({\mathcal N}\)-preopen if for each \(x\in A\) there exists a preopen set \({\mathcal U}_x\) containing \(x\) such that \({\mathcal U}_x - A\) is a finite set. We investigate some properties of the sets. Moreover, we obtain new characterizations and preserving theorems of strongly compact spaces.
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 5627893
zbMATH Keywords: strongly compact
zbMATH Keywords: \({\mathcal N}\)-preopen sets
MaRDI profile type: Publication
OpenAlex ID: W2042265817
Wikidata QID: Q58648461
cites work: Q3966759
cites work: Q3821263
cites work: Q3791862
cites work: More on strongly compact spaces
cites work: Q3687317
cites work: Q3080657
cites work: Q5749941
cites work: On some classes of nearly open sets
cites work: ALMOST WEAKLY CONTINUOUS FUNCTIONS
cites work: A note on semi-continuity and precontinuity
cites work: Q3314541
cites work: On \(\alpha\)-continuity in topological spaces
DBLP publication ID: journals/ijmmsc/Al-OmariNN09
description: scientific article; zbMATH DE number 5627893