On nano semi pre neighbourhoods in nano topological spaces

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Authors :

P. Sathishmohan1*, V. Rajendran2, C. Vignesh Kumar 3 and  P.K. Dhanasekaran4

Author Address :

1,2,3,4Department of Mathematics, Kongunadu College of Arts and Science, Coimbatore-641029, Tamil Nadu, India.

*Corresponding author.

Abstract :

The basic objective of this paper is to introduce and investigate the properties of nano semi pre-neighbourhoods, nano semi pre-interior, nano semi pre-frontier, nano semi pre-exterior, nano-dense, nano-submaximal and obtain relation between some of the existing sets.

Keywords :

Nano $eta$-interior, nano $eta$-closure, nano $eta$-neighbourhoods, nano $eta$-frontier, nano $eta$-exterior, nano-dense, nano-submaximal.

DOI :

10.26637/MJM0601/0034

Article Info :

Received : October 04, 2017; Accepted : January 08, 2018.