Characterizations of Strongly Compact Spaces

Ahmad Al-Omari, Takashi Noiri and Mohd. Salmi Md. Noorani

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-9

Abstract:

A topological space is said to be strongly compact if every preopen cover of admits a finite subcover. In this paper, we introduce a new class of sets called ?? -preopen sets which is weaker than both open sets and ?? -open sets. Where a subset is said to be ?? -preopen if for each there exists a preopen set containing such that is a finite set. We investigate some properties of the sets. Moreover, we obtain new characterizations and preserving theorems of strongly compact spaces.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:573038

DOI: 10.1155/2009/573038

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