On generalized $b$ star - interior and generalized $b$ star - closure in topological spaces

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Authors :

S. Sekar 1 * and S. Loganayagi 2

Author Address :

1 Department of Mathematics, Chikkanna Government Arts College, Tiruppur – 641 602, Tamil Nadu, India.
2 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 generalized $b$ star - interior and generalized $b$ star - closure in topological spaces. Some characterizations and several properties concerning generalized $b$ star - interior and generalized $b$ star - closure are obtained and presented.

Keywords :

$gbs$ - closed set, $gbs$ - closed map, $gbs$ - continuous map, contra $gbs$ - continuity.

DOI :

10.26637/MJM0703/0015

Article Info :

Received : March 24, 2019; Accepted : June 09, 2019.