On nano semi pre neighbourhoods in nano topological spaces

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DOI:

https://doi.org/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
  • 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.

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Published

01-01-2018

How to Cite

P. Sathishmohan, V. Rajendran, C. Vignesh Kumar, and P.K. Dhanasekaran. “On Nano Semi Pre Neighbourhoods in Nano Topological Spaces”. Malaya Journal of Matematik, vol. 6, no. 01, Jan. 2018, pp. 294-8, doi:10.26637/MJM0601/0034.

Issue

Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)

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Articles

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Copyright (c) 2018 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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