Nano S_β-Connectedness in Nano Topological Spaces

Authors

DOI:

https://doi.org/10.23851/mjs.v34i2.1245

Keywords:

Nano S_β-open sets, Nano S_β-connected, Nano S_β-hyperconnected, Nano S_β-ultraconnected

Abstract

The aim of this study is to introduce the notions of nano Sβ-connected, nano Sβ-hyperconnected and nano Sβ-ultraconnected by using all forms of nano Sβ-open sets in nano topological spaces. Then, we study their relationship and show that if a nano topological space is nSβ-connected, W is also nano connected space but not the converse. Also, we study each notion in terms of upper, lower, and boundary approximations.

Downloads

Download data is not yet available.

References

Revathy, And G. Ilango., On nano β-open sets. Int. J. Eng. Contemp. Math. Sci, 1, 2, 1-6, 2015.

M. L. Thivagar, And I. G. Antoinette, Note on nano hyperconnected spaces. South east Asian journal of Mathematics and Mathematical sciences, 15, 1, 25-36, 2019.

M. L. Thivagar, And C. Richard, On nano forms of weakly open sets. International journal of mathematics and statistics invention, 1, 1, 31-37, 2013.

O. T. Pirbal, and N. K. Ahmed, On nano Sβ-open sets in nano topological spaces. General Letters in Mathematics, 12, 1, 23-30, 2022.

CrossRef

O. T. Pirbal, and N. K. Ahmed, A new type of nano semi open sets in nano topological spaces. MSc Thesis, Salahaddin University-Erbil. 2022.

CrossRef

N. K. Ahmed and O. T. Pirbal, Nano SC-open sets in nano topological spaces. Ibn Al-Haitham Journal for Pure and Applied Sciences, Accepted. 2023.

Z. Pawlak, Rough sets. International journal of computer & information sciences, 11, 5, 341-356, 1985.

CrossRef

Downloads

Key Dates

Published

30-06-2023

Issue

Section

Original Article

How to Cite

[1]
N. K. . Ahmed and O. T. Pirbal, “Nano S_β-Connectedness in Nano Topological Spaces”, Al-Mustansiriyah Journal of Science, vol. 34, no. 2, pp. 87–94, Jun. 2023, doi: 10.23851/mjs.v34i2.1245.

Similar Articles

1-10 of 83

You may also start an advanced similarity search for this article.