On $\tilde{\mu}$-open sets in generalized topological spaces

D. Saravanakumara,* N. Kalaivanib and G. Sai Sundara Krishnanc

On $\tilde{\mu}$-open sets in generalized topological spaces

Authors :

D. Saravanakumar^a,* N. Kalaivani^b and G. Sai Sundara Krishnan^c

Author Address :

aDepartment of Mathematics, SNS College of Engineering, Coimbatore, India.
bDepartment of Mathematics, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Chennai, India.
cDepartment of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, India.

*Corresponding author.

Abstract :

In this paper, we introduce the notion of $\tilde{\mu}$-open sets in generalized topological spaces. Further, we introduce the notions of interior, closure, boundary, exterior and study some of their
properties. In addition, we introduce the concepts of $\tilde{\mu}$-$T_i$ $(i = 0, \frac{1}{2}, 1, 2)$ spaces are characterized them using $\tilde{\mu}$-open and $\tilde{\mu}$-closed sets.

Keywords :

$\tilde{\mu}$-open, $\tilde{\mu}$-closed, $\tilde{\mu}$-interior, $\tilde{\mu}$-closure, $\tilde{\mu}$-boundary, $\tilde{\mu}$-exterior and $\tilde{\mu}$-$T_i$ $(i = 0, \frac{1}{2}, 1, 2)$.

DOI :

Article Info :

Received : November 16, 2014; Accepted : March 15, 2015.