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

Mathematics

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