...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 72 | Issue 2 | Year 2026 | Article Id. IJMTT-V72I2P103 | DOI : https://doi.org/10.14445/22315373/IJMTT-V72I2P103

On a New Class of Nano ๐‘ ๐‘”๐‘ -Separation Axioms: Regular and Normal Spaces


Adinatha C. Upadhya, Mamata M. K
Received Revised Accepted Published
08 Dec 2025 16 Jan 2026 07 Feb 2026 21 Feb 2026
Citation :

Adinatha C. Upadhya, Mamata M. K, "On a New Class of Nano ๐‘ ๐‘”๐‘ -Separation Axioms: Regular and Normal Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 72, no. 2, pp. 19-23, 2026. Crossref, https://doi.org/10.14445/22315373/IJMTT-V72I2P103

Abstract
This paper introduces nano ๐‘ ๐‘”๐‘-regular and nano ๐‘ ๐‘”๐‘-normal spaces defined via nano ๐‘ ๐‘”๐‘-closed sets, and investigates their characterizations and relationships with nano sgp-regular and nano sgp-normal spaces. Preservation properties under subspaces and various classes of mappings are also established.
Keywords
Nano-topology, Nano sgp-closed sets, Nano ๐’”๐’ˆ๐’‘-regular space, Nano ๐’”๐’ˆ๐’‘-normal space.
References

[1] K. Bhuvaneswari, and K. Mythili Ganapriya, โ€œNano Generalized Closed Sets in Nano Topological Spaces,โ€ International Journal of Scientific and Research Publications, vol. 4, no. 5, pp. 1-3, 2014.
[
Google Scholar] [Publisher Link]

[2] Ghufran Ali Hussein, and Z.D. Al-Nafie, โ€œRegularity and Normality of Nano Topological Spaces Modeled by Pre-Open Sets Structures,โ€ Journal of Interdisciplinary Mathematics, vol. 27, no. 4, pp. 667-673, 2024.
[CrossRef]
[Google Scholar] [Publisher Link]

[3] M. Lellis Thivagar, and Carmel Richard, โ€œOn Nano Continuity,โ€ Mathematical Theory an Modeling, vol. 3, no. 7, pp. 32-37, 2013.
[
Google Scholar]

[4] M. Lellis Thivagar, and Carmel Richard, โ€œOn Nano Forms of Weakly Open Sets,โ€ International Journal of Mathematics and Statistics Invention, vol. 1, no. 1, pp. 31-37, 2013.
[
Google Scholar] [Publisher Link]

[5] C.R Parvathy, S. Praveena, โ€œOn Nano Generalized Pre Regular Closed Sets in Nano Topological Spaces, IOSR Journal of Mathematics, vol. 13, no. 2, pp. 56-60, 2017.
[CrossRef]
[Google Scholar] [Publisher Link]

[6] A.C. Upadhya, and M.K. Mamata, โ€œOn Nano Gp-Regular and Nano Gp-Normal Spaces,โ€ The International Journal of Analytical and Experimental Modal Analysis, vol. 2, no. 7, pp. 3770-3775, 2020.
[
Google Scholar]

  • PDF
  • Citation
  • Abstract
  • Keywords
  • References
Citation Abstract Keywords References
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright ยฉ 2026 Seventh Sense Research Groupยฎ . All Rights Reserved