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.
