Ahmad Al-Omari, Murad Ozcog, Santanu Acharjee
2023.5.26Mathematica
tlooto Summary
This paper defines two new operators via primal proximity spaces and investigates some of their fundamental properties, and obtains a new topology, which is weaker than old one, via these new operators.
Abstract
Proximity space is one of the common topics in mathematics, computer science, and pattern recognition. Recently, Acharjee et al. introduced a new structure named primal in mathematics. Thus, the main purpose of this paper is to introduce and study primal-proximity spaces. Also, we define two new operators via primal proximity spaces and investigate some of their fundamental properties. In addition, we obtain a new topology, which is weaker than old one, via these new operators. Moreover, we not only discuss some of their properties but also enrich with some examples.
Citation format
AL-OMARI, Ahmad; OZCOG, Murad; ACHARJEE, Santanu. Primal-proximity spaces [preprint]. arXiv, 2023. arXiv:2306.07977.