On Some Properties of Generalised Regular Anti-Topological Space

Authors

• Bhimraj Basumatary, Assistant Professor, Department of Mathematical Sciences, Bodoland University, Kokrajhar, Assam, 783370, IndiaFollow
• Gugu Narzary, Research Scholar, Department of Mathematical Sciences, Bodoland University, Kokrajhar, Assam, 783370, IndiaFollow
• Jeevan Krishna Khaklary, Assistant Professor, Department of Mathematics, Central Institute of Technology, Kokrajhar, Assam, 783370, IndiaFollow

Authors' ORCIDs

Bhimraj Basumatary: https://orcid.org/0000-0001-5398-6078

Gugu Narzary: https://orcid.org/0009-0002-5173-930X

Jeevan Krishna Khaklary: https://orcid.org/0000-0001-6385-1118

Article Type

Research Article

Abstract

This article studies Regular Anti-open sets and Generalised Regular Anti-open sets within a topological framework, addressing the limited development of anti-open structures in generalised topology. We introduce Regular Anti-open sets and establish their fundamental properties. The study is extended by defining Generalised Regular Anti-open sets, providing a broader and more flexible class of sets. Furthermore, the notions of GR-interior and GR-closure are introduced and analyzed, and their essential properties are obtained. The results contribute to a clearer understanding of generalized anti-open structures and provide a basis for further research in topology.

Keywords

Neutrosophic set, Topological space, Regular anti-open sets

How to Cite

Basumatary, Bhimraj; Narzary, Gugu; and Khaklary, Jeevan Krishna (2026) "On Some Properties of Generalised Regular Anti-Topological Space," Neutrosophic Systems with Applications: Vol. 26: Iss. 5, Article 3. DOI: https://doi.org/10.63689/2993-7159.1343