IJPAM: Volume 86, No. 4 (2013)

REGULAR WEAKLY CLOSED SETS IN
IDEAL TOPOLOGICAL SPACES

A. Vadivel1, Mohanarao Navuluri2
1,2Department of Mathematics (FEAT)
Annamalai University
Annamalainagar, Tamil Nadu, 608 002, INDIA


Abstract. In this paper, we define $I_{rw}$-closed sets and $I_{rw}$-open sets, characterize these sets and discuss their properties. Then, we define $\vee_{rs}$-sets and $\wedge_{rs}$-sets and discuss the relation between them. Also, we give characterizations of $I_{rw}$-closed sets and $rw$-closed sets.

A separation axiom stronger than $rsT_I$-space is defined and various characterizations are given.

Received: December 10, 2012

AMS Subject Classification: 54A05, 54A10, 54D15

Key Words and Phrases: $I_{rw}$-closed, $I_{rw}$-open, $\mathcal{N}_I$-$rw$-set, $\wp_I$-$rw$-set, $\vee_{rs}$-set, $\wedge_{rs}$-set, $I. \vee_{rs}$-set, $I. \wedge_{rs}$-set, $rsT_I$-spaces

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DOI: 10.12732/ijpam.v86i4.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 4