On nano semi pre neighbourhoods in nano topological spaces

P. Sathishmohan; V. Rajendran; C. Vignesh Kumar; P.K. Dhanasekaran

doi:10.26637/MJM0601/0034

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:

\text { Nano } \beta \text {-interior }, \text { nano } \beta \text {-closure }, \text { nano } \beta \text {-neighbourhoods }, \text { nano } \beta \text {-frontier }, \text { nano } \beta \text {-exterior }, \text { nano-dense }, nanosubmaxima

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

P. Sathishmohan Department of Mathematics, Kongunadu College of Arts and Science, Coimbatore-641029, Tamil Nadu, India.
V. Rajendran Department of Mathematics, Kongunadu College of Arts and Science, Coimbatore-641029, Tamil Nadu, India.
C. Vignesh Kumar Department of Mathematics, Kongunadu College of Arts and Science, Coimbatore-641029, Tamil Nadu, India.
P.K. Dhanasekaran Department of Mathematics, Kongunadu College of Arts and Science, Coimbatore-641029, Tamil Nadu, India.

Pages: 294-298
Date Published: 01-01-2018
Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)

C. Janaki and A. Jayalakshmi, A new form of generalized closed sets via regular local function in ideal topological spaces, Malaya Journal of Matematik, S(1)(2015), 1-9.

N. Levine, Generalized closed sets in topology, Rend.Circ. Math. Palermo, 19(1)(1970), 89-96.

L. Thivagar and C. Richard, On nano forms of weekly open sets, Int. J. Math. Stat. Invev., 1(1)(2013), 31-37.

Z. Pawalk, Rough sets, Int. J. Comput. Inf. Sci., 11(5)(1982), 341-356.

Z. Pawalk, Rough Sets: Theoretical Aspects of Reasoning About Data, Kluwer Academic Publishers, Boston, 1991.

A. Revathy and G. Illango, On nano $beta$-open sets, Int. J. Eng. Contemp. Math. Sci., 1(2)(2015), 1-6.

P. Sathishmohan, V. Rajendran, P.K. Dhanasekaran and C. Vignesh Kumar, More on pre-neighbourhoods in nano topological-spaces, (Communicated to an International Journal.)

D. Sreeja and S. Sasikala, Generalized star semi regular closed sets in topological spaces, Malaya Journal of Matematik, S(1)(2015), 42-56.