On semicompact sets and associated properties
type: Item
instance of: scholarly article
title: On semicompact sets and associated properties
zbMATH Open document ID: 1186.54023
DOI: 10.1155/2009/465387
author: Mohammad S. Sarsak
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-04-20T00:00:00Z
full work available at URL: https://eudml.org/doc/230721
review text: Summary: We continue the study of semicompact sets in a topological space. Several properties, i.e. mapping properties of semicompact sets are studied. A special interest to \(SCS\) spaces is given, where a space \(X\) is \(SCS\) if every subset of \(X\) which is semicompact in \(X\) is semiclosed; we study several properties of such spaces, it is mainly shown that a semi-\(T_{2}\) semicompact space is \(SCS\) if and only if it is extremally disconnected. It is also shown that in an \(os\)-regular space \(X\) if every point has an \(SCS\) neighborhood, then \(X\) is \(SCS\).
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 5695208
Wikidata QID: Q58648447
MaRDI profile type: Publication
OpenAlex ID: W2100698852
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DBLP publication ID: journals/ijmmsc/Sarsak09
description: scientific article; zbMATH DE number 5695208