On $g^{*} \beta$ -compactness and $g^{*} \beta$ -connectedness in topological spaces

A. Punitha Tharani 1 and H. Sujitha 2 *

doi:10.26637/MJM0804/0005

**On $g^{} \beta$ -compactness and $g^{} \beta$ -connectedness in topological spaces**

Authors :

A. Punitha Tharani ¹ and H. Sujitha ^{2 *}

Author Address :

¹ Department of Mathematics, St. Mary’s College (Autonomous), Thoothukudi-628001, Tamil Nadu, India.
² Research Scholar (Part-time Internal) (Register Number: 19122212092003), Department of Mathematics, St. Mary’s College (Autonomous), Thoothukudi-628001, Tamil Nadu, India.
^1,2 Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627012, Tamil Nadu, India.

*Corresponding author.

Abstract :

We introduce the concept of $g^{*} \beta-$compact and $g^{*} \beta-$ connected spaces in topological spaces and investigate their basic properties and are obtained using $g^{*} \beta$ -closed sets.

Keywords :

$g^{*} \beta$ -closed set, $g^{*} \beta$ -connected space, $g^{*} \beta$-separated, $g^{*} \beta$ -compact space.

DOI :

10.26637/MJM0804/0005

Article Info :

Received : June 01, 2020; Accepted : August 21, 2020.