Nano βθ-Open Sets in Nano Topological Spaces
Main Article Content
Abstract
This paper's primary objective is to present and study a different class of nano sets known as nano βθ-open sets in nano topological spaces. Additionally, introduced some nano topological concepts by using nano βθ-open set.
Article Details

This work is licensed under a Creative Commons Attribution 4.0 International License.
Tikrit Journal of Pure Science is licensed under the Creative Commons Attribution 4.0 International License, which allows users to copy, create extracts, abstracts, and new works from the article, alter and revise the article, and make commercial use of the article (including reuse and/or resale of the article by commercial entities), provided the user gives appropriate credit (with a link to the formal publication through the relevant DOI), provides a link to the license, indicates if changes were made, and the licensor is not represented as endorsing the use made of the work. The authors hold the copyright for their published work on the Tikrit J. Pure Sci. website, while Tikrit J. Pure Sci. is responsible for appreciate citation of their work, which is released under CC-BY-4.0, enabling the unrestricted use, distribution, and reproduction of an article in any medium, provided that the original work is properly cited.
References
[1] M.E. Abd El-Monsef, S.N. El-Deeb, R.A.Mahmoud,(1983), "β-open sets and β-continuous mapping," Bull.Fac.Sci. Assuit Univ, vol. 12, no. 1, pp. 77-90.
[2] T.Noiri,(2003), "Weak and strong forms of β-irresolute functions," Acta Math.Hungar, vol. 99, pp. 315-328.
[3] M. L. Thivagar, C. Richard,(2013), "On nano forms of weakly open sets," Int. J. Math., vol. 1, no. 1, pp. 31-37.
[4] A.Revathy, G.Ilango,(2015), "On nano β-open sets," Int.Jr.of Enginering, Contemporary Mathematics and Sciences, vol. 1, no. 2, pp. 1-6.
[5] I. Rajasekaran,(2017), "On new classes of some nano open sets," International Journal of Pure and Applied Mathematical Sciences, vol. 10, no. 2, pp. 147-155.
[6] P.Dhanasekaran, A.Vadivel, G.Saravanakumar, M.Angayarkanni,(2019) "Generalizations of Nano θ-closed Sets in Nano Topological Spaces," Journal of Information and Computational Science, vol. 9, no. 11, pp. 669-675.
[7]S.PARIMALA,J.Sathiyaraj,V.Chandrasekar,(2020), "new notions via nano δ-open sets with an application in diagnosis of type - ii diabetics," Advances in Mathematics: Scientific Journal, vol. 9, no. 3, pp. 1247-1253.
[8] P.Sathishmohan, V.Rajendran, C.Vignesh Kumar,(2019), "More on nano semi pre-regular and nano semi pre normal-spaces," Malaya Journal of Matematik, vol. 1, pp. 367-374.
[9] R. H. Yunis,(2004), "βθ-OPEN SETS," JOURNAL OF Dohuk UMIVERSITY, vol. 7, no. 2, pp. 34-37.
[10] N. K.Ahmad,(1990) "On some types of separation axioms," M.Sc. Thesis, College of Science, Salahaddin Univ.
[11] S.A. Hussein, N. K.Ahmed,(2007), "On Pθ-open sets in topological spaces," J. of kirkuk University, vol. 2, no. 3, pp. 125-132.
[12] S. A.Hussein,(2003), "Application of Pδ-open sets in topological spaces," in Msc. Thesis, Erbil, Salahaddin university-erbil.
[13] N.O.Rashid, S.A.Hussein,(2022), "Maximal and minimal regular β-Open Sets in Topological Spaces," Iraqi Journal of Science, vol. 63, no. 4, pp. 1720-1728.
[14] M.Hosny,(2018), "nano δβ-open sets and nano δβ-continuity," journal of the Egyptian Mathematical Society, vol. 26, no. 2, pp. 365-375.
[15] M.M.Khalaf, K.N.Nimer,(2015), "Nano PS-Open sets and Nano PS-Continuity," International Journal of Contemporary mathematics Science, vol. 10, no. 1, pp. 1-11.