IJPAM: Volume 71, No. 3 (2011)


Y.K. Kim$^1$, R. Devi$^2$, A. Selvakumar$^3$
$^1$Department of Mathematics
Myongji University
Kyunggi, 449-728, SOUTH KOREA
$^2$Department of Mathematics
Kongunadu Arts and Science College
Coimabtore, 641029, Tamil Nadu, INDIA

Abstract. In this paper, we introduce the concept of $weakly$ $ultra$-$\alpha\psi$-$separation$ of two sets in a topological space using $\alpha\psi$-$open$ sets. The $\alpha\psi$-$closure$ and the $\alpha\psi$-$kernel$ are defined in terms of this $weakly$ $ultra$-$\alpha\psi$-separation. We also investigate some of the properties of weak separation axioms like $\alpha\psi$-$T_0$ and $\alpha\psi$-$T_1$ spaces.

Received: June 1, 2011

AMS Subject Classification: 54A05, 54D10

Key Words and Phrases: $\alpha\psi$-$open$ sets, $\alpha\psi$-$kernel$, $\alpha\psi$-$closure$, $weakly$ $ultra$-$\alpha\psi$-separation, $\alpha\psi$-$T_0$ and $\alpha\psi$-$T_1$ spaces

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 3