On Compatibility and Proximity-Neighborhood Structures in Primal-Proximity Spaces

Amani Rawshdeh and Ahmad Al-Omari

Journal of Mathematics, 2026, vol. 2026, 1-10

Abstract: Some topological spaces are known to have structures that can be utilized to extend abstract concepts. The primal structure is one example of this kind of structure. The main objective of this paper is to present and examine more properties for primal-proximity spaces. We define and investigate the notions of compatible and proximity-neighborhood and go over some of their properties. Additionally, regarding these notions, the notion of P-locally operator of a set is defined, more features for primal-proximity spaces have been obtained, and many counterexamples related to our results are provided.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9676833

DOI: 10.1155/jom/9676833

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