Journals Information
Mathematics and Statistics Vol. 11(3), pp. 541 - 547
DOI: 10.13189/ms.2023.110310
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Strong Form of Nano Ideal Set in Nano Ideal Topological Spaces
S. Manicka Vinayagam 1,*, L. Meenakshi Sundaram 2, C. Devamanoharan 3
1 Research Scholar, Registration Number: 21112232091012, Department of Mathematics, V.O. Chidambaram College, Thoothukudi-628008, Tamilnadu, Affiliated to Manonmaniam Sundaranar University, Tirunelveli-627012, Tamilnadu, India
2 Assistant Professor, Department of Mathematics, V.O. Chidambaram College, Thoothukudi-628008, Tamilnadu, Affiliated to Manonmaniam Sundaranar University, Tirunelveli-627012, Tamilnadu, India
3 Associate Professor, Department of Mathematics, V.O. Chidambaram College, Thoothukudi-628008, Tamilnadu, Affiliated to Manonmaniam Sundaranar University, Tirunelveli-627012, Tamilnadu, India
ABSTRACT
The purpose of this article is to define and analyse certain new types of a strongly open set namely 
(
) in nano ideal topological space and compare it with the other existing sets in nano ideal topology. Here the author uses the lower approximation, upper approximation and boundary region to define nano topology. To emphasize the inclusive relationship of this particular nano ideal set with other existing familiar nano ideal sets like 
, 
, 
and 
, some counter examples are provided. We have also established the independence of this set with both 
set and 
set in nano ideal topological spaces. In addition, 
, 
, 
are introduced, investigated with its basic results and fundamental properties. The Exterior operator plays a vital role in topological spaces. Unless like the interior operator, the exterior operator varies in some cases, for example it reverses inclusions when it comes to the subset property in topological spaces. In the next section, we have defined 
and analysed some of its basic properties. We have also introduced 
and discussed its correlation between and . The paper finally concludes with the definition of 
and describes the relationship of with , and .
KEYWORDS
, , , ,
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] S. Manicka Vinayagam , L. Meenakshi Sundaram , C. Devamanoharan , "Strong Form of Nano Ideal Set in Nano Ideal Topological Spaces," Mathematics and Statistics, Vol. 11, No. 3, pp. 541 - 547, 2023. DOI: 10.13189/ms.2023.110310.
(b). APA Format:
S. Manicka Vinayagam , L. Meenakshi Sundaram , C. Devamanoharan (2023). Strong Form of Nano Ideal Set in Nano Ideal Topological Spaces. Mathematics and Statistics, 11(3), 541 - 547. DOI: 10.13189/ms.2023.110310.