On b-anti-Open Sets: A Formal Definition, Proofs, and Examples

Journal Title: Neutrosophic Systems with Applications - Year 2024, Vol 13, Issue 1

Abstract

The concepts of open sets, closed sets, the interior of a set, and the exterior of a set are the most basic concepts in the study of topological spaces in any setting. When we turn our attention to the concept of anti-topological spaces, we encounter analogous fundamental concepts, such as the definition of anti-open sets, anti-closed sets, anti-interior, anti-exterior, etc. These concepts have already been introduced and studied by mathematicians worldwide. In this article, we introduce and study the concepts of b-anti-open set, b-anti-closed set, anti-b-interior, and anti-b-closure in the context of anti-topological spaces and investigate some of their basic properties.

Authors and Affiliations

Sudeep Dey, Priyanka Paul, Gautam Chandra Ray

Keywords

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  • EP ID EP729599
  • DOI https://doi.org/10.61356/j.nswa.2024.79
  • Views 29
  • Downloads 1

How To Cite

Sudeep Dey, Priyanka Paul, Gautam Chandra Ray (2024). On b-anti-Open Sets: A Formal Definition, Proofs, and Examples. Neutrosophic Systems with Applications, 13(1), -. https://europub.co.uk/articles/-A-729599