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Some More Properties of F_I and Regular I-Closed Sets in Ideal Topological Spaces

Jeyanthi, V., and Devi, V. Renuka, and Sivaraj, D., (2006) Some More Properties of F_I and Regular I-Closed Sets in Ideal Topological Spaces. Bulletin of the Malaysian Mathematical Sciences Society, 29 (1). pp. 69-77. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v29n1/v29n1p9.pdf

Affiliations

Dr. Sivanthi Aditanar College of Engineering, Dept. of Mathematics
Govindammal Aditanar College, Dept. of Mathematics
Aditanar College, Dept. of Mathematics

Abstract

In 1964, Hayashi [8] defined and studied the notions of ⋆-dense in itself sets and ⋆-perfect subsets in ideal topological spaces. In 1999, Dontchev et al. [5] have studied the notion of Ideal resolvability through codense and completely codense ideal topological spaces. Recently, in the year 2004, Keskin, Noiri and Yuksel [12] have introduced and studied the concepts of $f_{\mathcal{I}}$-sets and $f_{\mathcal{I}}$-continuity. In this paper, we studied some more properties of $f_{\mathcal{I}}$-sets and $f_{\mathcal{I}}$-continuity with codense and completely codense ideals. We also, continued the study of regular $\mathcal{I}$-closed concepts.


2000 Mathematics Subject Classification: Primary 54A05, 54A10, Secondary 54C08

Item Type:Journal
Keywords:Codense and completely codense ideals, α-set, semiopen set, preopen set, I-open set, I-locally closed set, f_I-set, regular I-closed set, semicontinuity, f_I-continuity.
Subjects:Q Science, Computer Science
ID Code:1435

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