On generalized $b$ star - closed set in Topological Spaces
Authors :
S. Sekar a,∗ and S. Loganayagi b
Author Address :
a Department of Mathematics, Government Arts College (Autonomous), Salem – 636 007, Tamil Nadu, India.
b Department of Mathematics, Bharathidasan College of Arts and Science, Ellispettai, Erode – 638 116, Tamil Nadu, India.
*Corresponding author.
Abstract :
In this paper, we introduce a new class of sets called generalized $b$ star -closed sets in topological spaces (briefly $gb^*$- closed set). Also we discuss some of their properties and investigate the relations between the associated topology.
Keywords :
$gb^*$ - closed set, $b$ - closed set, $gb$ closed set.
DOI :
Article Info :
Received : January 19, 2017; Accepted : March 05, 2017.