Mathematics and Computational Sciences

A new notion of soft Nano connectedness in soft Nano topo-logical space

Document Type : Original Article

Authors

Petchimuthu Vijayalakshmi
Casmir Reena

Department of Mathematics, St. Marys College (Autonomous), Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli, Thoothukudi-628 001, Tamil Nadu, India

https://doi.org/10.30511/mcs.2025.2075298.1551
Abstract
A more flexible and nuanced view of space and objects that are inherently ambiguous or inaccurate is made possible by soft nano topology. Connectivity concepts play an major role in topological spaces. The classification and comprehension of the various topological space
structures is aided by connectivity. The main aspect of this article is to introduce new types of soft nano connected space known as soft nano ic-pre generalized connected space and
discuss its properties. Further, we introduce new type of hyper connected space known as soft nano ic-pre generalized hyper connected space and look over its characteristics. This idea makes it instinctive to comprehend topological structures and some difficult theorems, and it aids in the development of concepts like compactness and separation axioms in soft nano topology.

Keywords

Soft nano ic- pre generalized continuous
Soft nano ic-pre generalized irresolute
Soft nano ic-pre generalized connected
Soft nano ic-pre generalized hyper connected

Subjects

[1] Adiya K.Hussein, (2015). S* Hyperconnectedness, ISOR Journal Of Mathematics, 11(4), 66-72. 
[2] Benchalli, S.S., Patil, P.G., Kabbur, N.S., & Pradeepkumar, J., On soft nano topological space(Communicated). 
[3] Molodtsov, D., (1999). Soft set theory-first results, Computers And Mathematics With Applications, 37, 19-31.
[4] Patil, P.G., & Benakanawar,S.S., (2020). New version of soft nano compactness and soft nano connectedness, Advances In Mathematics: Scientific Journal, 9(4), 1787-1794,(2020). 
[5] Patil, P.G., & Benakanawar,S.S., (2019). On soft nano resolvable and soft nano irresolvable spaces,Journal Of Mathematics And Computer Science, 10(2), 245-254.
[6] Reena, C., & Vijayalakshmi, P., (2024). On soft nano ic-pre generalized open sets in soft nano topological spaces, Indian Journal Of Natural Sciences, 15, 85269-85280.
[7] Reena, C., & Vijayalakshmi, P., A Novel type soft nano neighbourhood and soft nano continuity in soft nano topological space(communicated). 
[8] Thivagar, L., & Richard, C., (2013).On nano continuity, Mathematical Theory And Modeling, 3 (7), 32-37.
Mathematics and Computational Sciences
Volume 6, Issue 4
Autumn 2025
Pages 64-73

  • Receive Date 21 October 2025
  • Revise Date 24 November 2025
  • Accept Date 28 November 2025

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