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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 15 (2025), Article ID 33

Beta-ideal local functions in nano anti-Hausdorff spaces

P. Gayathri, G. Selvi, K. Ruth Isabels, A. Thiruppathi

Abstract

Recent research has expanded upon established generalized set classes within the system of nano anti-Hausdorff \(\beta\)- local functions, specifically under conditions of ideals. In this research, a number of new set classes are established which underscore an important place of beta-ideals in the topological structure of the nano anti-Hausdorff, \(NAH_\star^X\). These novel collections are examined in order to investigate the delicate structural features as well as the interconnections of beta-ideals, within nano topological spaces, as gauged through the protracted view of \(NAH_\star^X\). The results lead to a more theoretical insight into the area of nano topology and a superior insight into the applications thereof concerning the use of beta-ideals.

Published
11 August 2025
Volume
15 (2025)
License
CC BY 3.0

Copyright © 2025 P. Gayathri, G. Selvi, K. Ruth Isabels, A. Thiruppathi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

P. Gayathri, G. Selvi, K. R. Isabels, A. Thiruppathi, Beta-ideal local functions in nano anti-Hausdorff spaces, Adv. Fixed Point Theory 15 (2025), 33. https://doi.org/10.28919/afpt/9454

BibTeX
@article{Gayathri2025,
  author  = {Gayathri, P. and Selvi, G. and Isabels, K. Ruth and Thiruppathi, A.},
  title   = {Beta-ideal local functions in nano anti-Hausdorff spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {15},
  year    = {2025},
  pages   = {33},
  doi     = {10.28919/afpt/9454}
}