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

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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 :

10.26637/MJM0603/0012

Article Info :

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

 

 

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