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Characterizations of Strongly Compact Spaces
Joint Authors
Noorani, Mohd. Salmi Md.
al-Omari, Ahmad
Noiri, Takashi
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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 exists a preopen set Ux containing x such that Ux−A is a finite set.
We investigate some properties of the sets.
Moreover, we obtain new characterizations and preserving theorems of strongly compact spaces.
American Psychological Association (APA)
al-Omari, Ahmad& Noiri, Takashi& Noorani, Mohd. Salmi Md.. 2009. Characterizations of Strongly Compact Spaces. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-481832
Modern Language Association (MLA)
al-Omari, Ahmad…[et al.]. Characterizations of Strongly Compact Spaces. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-9.
https://search.emarefa.net/detail/BIM-481832
American Medical Association (AMA)
al-Omari, Ahmad& Noiri, Takashi& Noorani, Mohd. Salmi Md.. Characterizations of Strongly Compact Spaces. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-481832
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481832