Nano generalized $e$-closure and nano generalized $e$-interior

P. Manivannan 1 , A. Vadivel 2* , G. Saravanakumar 3 and V. Chandrasekar 4

doi:10.26637/MJM0801/0016

Nano generalized $e$-closure and nano generalized $e$-interior

Authors :

P. Manivannan¹, A. Vadivel^2* , G. Saravanakumar ³ and V. Chandrasekar ⁴

Author Address :

¹ Department of Mathematics, Government College of Engineering-Srirangam, Tiruchirappalli-620012, Tamil Nadu, India.
² PG and Research Department of Mathematics, Government Arts College (Autonomous), Karur-639005, Department of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.
³ Department of Mathematics, M.Kumarasamy College of Engineering (Autonomous), Karur-639113, Tamil Nadu, India.
^1,4Department of Mathematics, Kandaswamy Kandar’s College, P-velur–638182, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper we discuss some basic topological properties of generalizations of closure, interior, neighborhood, limit points, derived set, frontier, exterior and border of the sets via nano generalized $e$ (resp. $\mathcal{M}$)-open sets in nano topological spaces.

Keywords :

Nano generalized $e$ (resp. $\mathcal{M}$)-neighbourhood, nano generalized $e$ (resp. $\mathcal{M}$)-exterior, nano generalized $e$ (resp. $\mathcal{M}$)-frontier.

DOI :

10.26637/MJM0801/0016

Article Info :

Received : September 19, 2019; Accepted : December 22, 2019.