On nano $pi g^ast$s-closed sets in nano topological spaces

On nano $pi g^ast$s-closed sets in nano topological spaces

**Authors : **

P. Sathishmohan ^{1 *}, V. Rajendran ^{1} and P. Jeevitha^{ 1
}

**Author Address : **

^{1,2 }Department of Mathematics, Kongunadu Arts and Science Collage, Coimbatore-641029, Tamil Nadu, India.

*Corresponding author.

**Abstract : **

In this paper, a new class of set called nano $pi$ generalized star semi-closed sets in nano topological spaces is introduced and some of their basic properties are investigated. We shows that a new class of sets lies between the class of N$pi$g-closed sets and the class of N$pi$gs-closed sets. Further the notion of N$pi g^ast$s-open sets, N$pi g^ast$s-neighbourhoods, N$pi g^{ast}$s-interior and N$pi g^{ast}$s-closure are discussed. Several examples are also provided to illustrate the behaviour of new sets and functions.

**Keywords : **

N$pi g^ast$s-closed sets, N$pi g^ast$s-open sets, N$pi g^{ast}$s-neighbourhoods, N$pi g^{ast}$s-interior, N$pi g^{ast}$s-closure.

**DOI : **

**Article Info : **

*Received : * March 11, 2018; *Accepted : * May 09, 2018.