Mathematics and Statistics Vol. 10(5), pp. 1111 - 1115
DOI: 10.13189/ms.2022.100521
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Nano -connectedness and Strongly Nano -connectedness in Nano Topological Spaces

S. Gunavathy ¹, R. Alagar ¹, Aiyared Iampan ^2,*, Vediyappan Govindan ^3
1 Department of Mathematics, R.V. Government Arts College, India
² Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand
³ Department of Mathematics, Dmi St John The Baptist University, 800-Central Africa, Malawi

ABSTRACT

This article's goals are to propose a brand-new category of space termed "nano-ideal topological spaces" and to look at how they relate to conventional topological spaces. To determine their relationships in these spaces, we create certain closed sets. These sets' fundamental characteristics and properties are provided. Additionally, we look into two theories of optimal connectivity in nano topological spaces. In particular, we obtain certain features of such spaces and define -connectedness and strongly -connectedness nano-topological spaces in terms of any ideal . This study aims to illustrate a novel kind of nano-topological space called nano--topological space, and we define the relationships between the various classes of open sets. We speak about how we might characterise them. Some of their characterizations are finally supported. The lower and upper approximations are used by the author to define nano topological space. As weak variants of Nano open sets, he also created Nano -open sets, Nano semi-open sets, and Nano pre-open sets. Continuity, the fundamental notion of topology in nano topological space, was also introduced. Also, we introduce the notion of nano -continuity between nano topological spaces and we investigate several properties of this type of near-nano continuity. Finally, we introduce two examples as applications in nano-topological spaces.

KEYWORDS
Nano Open, Nano Closed, Nano -connected, Strongly Nano -connected, -boundary Nano Ideal

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] S. Gunavathy , R. Alagar , Aiyared Iampan , Vediyappan Govindan , "Nano -connectedness and Strongly Nano -connectedness in Nano Topological Spaces," Mathematics and Statistics, Vol. 10, No. 5, pp. 1111 - 1115, 2022. DOI: 10.13189/ms.2022.100521.

(b). APA Format:
S. Gunavathy , R. Alagar , Aiyared Iampan , Vediyappan Govindan (2022). Nano -connectedness and Strongly Nano -connectedness in Nano Topological Spaces. Mathematics and Statistics, 10(5), 1111 - 1115. DOI: 10.13189/ms.2022.100521.