Proximal and Descriptive Topological Rings: Structure and Properties
Abstract
The set of open subsets in a proximity space (X,ζ) forms a topological system that enables the definition of proximal and descriptive topological groups. This framework naturally extends to proximal and descriptive topological rings as well. In this study, I review fundamental properties and related results, with particular emphasis on the definition of proximal and descriptive fields. In addition, I examine the behavior of closed sets in proximal and descriptive topological rings.
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