On N*-Open Sets and N*-Connectedness in Bitopological Spaces

Authors

  • Hamza Qoqazeh Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, Jordan

DOI:

https://doi.org/10.19139/soic-2310-5070-4554

Keywords:

N*-open sets, N*-closed sets, bi-topological spaces, connected spaces, N*-connected spaces

Abstract

This study introduces the concept of N*-open sets and their complements in bi-topological spaces. The fundamental properties of N*-open sets are investigated, with particular emphasis on their relationships with conventional open and closed sets in bi-topological spaces. Furthermore, the concept of N*-open sets is employed to introduce and characterize a new type of connectedness, called N*-connectedness. The study establishes the basic properties of N*- connected spaces and provides a framework for examining connectedness through the newly defined class of N∗-open sets.

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Published

2026-10-02

How to Cite

Qoqazeh, H. (2026). On N*-Open Sets and N*-Connectedness in Bitopological Spaces . Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-4554

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Section

Research Articles

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