IJPAM: Volume 108, No. 4 (2016)

ON $g \alpha r$ CLOSED SET IN TOPOLOGICAL SPACES

S. Sekar$^1$, G. Kumar$^2$
$^1$Department of Mathematics
Government Arts College (Autonomous)
Salem, 636 007, Tamil Nadu, INDIA
$^2$Department of Mathematics
A.E.T. College
Attur, 636 108, Tamil Nadu, INDIA


Abstract. In this paper, we introduce a new class of sets called generalized $\alpha$ regular-closed sets in topological spaces (briefly $g \alpha r$-closed set). Also we discuss some of their properties and investigate the relations between the associated topology.

Received: May 9, 2016

AMS Subject Classification: 54A05

Key Words and Phrases: $g \alpha r$-closed set, $\alpha$-closed set, $rgb$ closed set

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DOI: 10.12732/ijpam.v108i4.5 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: 2016
Volume: 108
Issue: 4
Pages: 791 - 800


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