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

P. Sathishmohan; V. Rajendran; P. Jeevitha

doi:10.26637/MJM0603/0012

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 $\mathrm{N} \pi \mathrm{g}$-closed sets and the class of $\mathrm{N} \pi \mathrm{gs}$-closed sets. Further the notion of $\mathrm{N} \pi \mathrm{g}^* \mathrm{~s}$-open sets, $\mathrm{N} \pi g^* \mathrm{~s}$-neighbourhoods, $\mathrm{N} \pi g^*$ s-interior and $\mathrm{N} \pi g^* \mathrm{~s}$-closure are discussed. Several examples are also provided to illustrate the behaviour of new sets and functions.

Keywords:

$\mathrm{N} \pi g^*$ s-closed sets , $\mathrm{N} \pi g^*$ s-open sets , $\mathrm{N} \pi g^*$ s-neighbourhoods

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

P. Sathishmohan Department of Mathematics, Kongunadu Arts and Science Collage, Coimbatore-641029, Tamil Nadu, India. https://orcid.org/0000-0002-8608-2945
V. Rajendran Department of Mathematics, Kongunadu Arts and Science Collage, Coimbatore-641029, Tamil Nadu, India
P. Jeevitha Department of Mathematics, Kongunadu Arts and Science Collage, Coimbatore-641029, Tamil Nadu, India.

Pages: 536-541
Date Published: 01-07-2018
Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

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