S-COMPACTNESS VIA IDEALS

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Published: Dec 1, 1993
DOI: https://doi.org/10.5556/j.tkjm.24.1993.4515
Keywords:
I-compact countably I-compact SI-compact countably SI­ compact

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M. E. ABD EL-MONSEF
Tanta University, Tanta, Egypt.
E. F. LASHIEN
Tanta University, Tanta, Egypt.
A. A. NASEF
Tanta University, Tanta, Egypt.

Abstract




Compactness modulo an ideal has not been widely studied. Many new sorts of weak compactness have been introduced to topological spaces in the last twenty years but have not been studied using ideals. So, the main aim of our work is to study relations between ideals and some types of weak compactness. We initiate types of compactness modulo an ideal that generalize semi-compactness, $S$-closeness, $S$-Lindelofness and other types of compactness. Moreover, we study some of their properties and characterizations.




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How to Cite
EL-MONSEF, M. E. A., LASHIEN, E. F., & NASEF, A. A. (1993). S-COMPACTNESS VIA IDEALS. Tamkang Journal of Mathematics, 24(4), 431–443. https://doi.org/10.5556/j.tkjm.24.1993.4515
Issue
Vol. 24 No. 4 (1993)
Section
Papers
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