REMARKS ON THE *- TOPOLOGY

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Published: Mar 1, 1993
DOI: https://doi.org/10.5556/j.tkjm.24.1993.4467
Keywords:
ideal

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M. E. ABD EL-MONSEF
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.
E. F. LASHIEN
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.
A. A. NASEF
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.

Abstract




An ideal I on a set $X$ is a collection of subsets of $X$ which is closed under the operations of subset (heredity) and finite union (additivity). Ideals are useful in generation new spaces from the old ones. The central theme in this paper is to give new characterizations and properties to the *-topology in the sense of Hashimoto or I-topology in the sense of Vaidyanathaswamy and $\tau^*(I)$ in the sense of Hamlett, Rose and Jankovic. Several connections between the *-topology and other corresponding ones are investigated.




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How to Cite
EL-MONSEF, M. E. A., LASHIEN, E. F., & NASEF, A. A. (1993). REMARKS ON THE *- TOPOLOGY. Tamkang Journal of Mathematics, 24(1), 9–22. https://doi.org/10.5556/j.tkjm.24.1993.4467
Issue
Vol. 24 No. 1 (1993)
Section
Papers
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