$g^*omegaalpha$-Separation Axioms in Topological Spaces

P. G. Patil, ∗ S. S. Benchalli and Pallavi S. Mirajakar

**$g^*omegaalpha$-Separation Axioms in Topological Spaces**

Authors :

P. G. Patil, ^∗S. S. Benchalli and Pallavi S. Mirajakar

Author Address :

Department of Mathematics, Karnatak University, Dharwad-580 003, Karnataka, India.

*Corresponding author.

Abstract :

In this paper, we introduce and study the new separation axioms called g$^*omegaalpha$-$T_{i}$ (i= 0,1,2) and weaker forms of regular and normal spaces called g$^*omegaalpha$-normal and g$^*omegaalpha$-regular spaces using g$^*omegaalpha$-closed sets in topological spaces.

Keywords :

$g^*omegaalpha$-closed sets, ${g^*omegaalpha}$-$T_{0}$ spaces, ${g^*omegaalpha}$-$T_{1}$ spaces, ${g^*omegaalpha}$-$T_{2}$ spaces, g$^*omegaalpha$-regular spaces, g$^*o

DOI :

Article Info :

Received : January 07, 2017; Accepted : March 17, 2017.