On   $\widetilde{g}_{\alpha}$ sets in bitopological spaces

M. Lellis Thivagara and Nirmala Rebecca Paulb,*

On $\widetilde{g}_{\alpha}$ sets in bitopological spaces

Authors :

M. Lellis Thivagar^a and Nirmala Rebecca Paul^b,*

Author Address :

^aSchool of Mathematics, Madurai Kamaraj University, Madurai–625021, Tamilnadu, India.
^bDepartment of Mathematics, Lady Doak College, Madurai–625002, Tamilnadu, India.

*Corresponding author.

Abstract :

The paper introduces $\widetilde{g}_{\alpha}$-closed sets in bitopological spaces and establishes the relationship between other existing sets. As an application $(i,j)\widetilde{g}_{\alpha}$-closure is introduced to define a new topology. We also derive a new decomposition of continuity.

Keywords :

$\tau_{j}$-open set, $\widetilde{g}_{\alpha}$-closed set, $\widetilde{g}_{\alpha}$-open set, $^{\#}gs$-open set.

DOI :

Article Info :

Received : November 11, 2012; Accepted : July 06, 2013.