Characterizations of Strongly Compact Spaces

A topological space (X,τ) is said to be strongly compact if every preopen cover of (X,τ) 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 A is said to be -preopen if for each x∈A there...

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Bibliographic Details
Main Authors: Ahmad Al-Omari, Takashi Noiri, Mohd. Salmi Md. Noorani
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/573038