N g #− Irresolvable and Strongly N g #− Irresolvable Spaces in Neutrosophic Topological Spaces

Authors

  • Martina Jency J Assistant Professor, PG and Research Department of Mathematics, V. O.Chidambaram College,Thoothukudi-628008, Tamil Nadu, India.;
  • Babisha Julit R L Assistant Professor, Department of Mathematics, St.Alphonsa College of Arts and Science,Karinkal,Kanyakumari-629157, Tamil Nadu, India.;
  • Pious Missier S Head & Associate Professor, Department of Mathematics, Don Bosco College of Arts and Science, KeelaEral, Thoothukudi-628 908, Tamil Nadu, India.;

Keywords:

N g #− closed set; N g #− dense set; N g #− Irresolvable spaces ; Strongly N g #− Irresolvable spaces

Abstract

The notion of breaking down a topological space into smaller, disjoint subsets is the basis for the topological concepts of ‘resolvable space’ and ‘irresolvable space’. By synergizing topology and neutrosophy, we have introduced a new paradigm in neutrosophic topological spaces, represented by N g#− resolvable spaces, N g #− irresolvable spaces and strongly N g #− irresolvable spaces. This pioneering fusion enables the exploration of novel mathematical structures and their characterizations. 

 

DOI: 10.5281/zenodo.13950379

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Published

2024-10-18

Issue

Vol. 75 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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How to Cite

Martina Jency J, Babisha Julit R L, & Pious Missier S. (2024). N g #− Irresolvable and Strongly N g #− Irresolvable Spaces in Neutrosophic Topological Spaces. Neutrosophic Sets and Systems, 75, 309-3018. https://fs.unm.edu/nss8/index.php/111/article/view/5111