Proximal and Descriptive Topological Rings: Structure and Properties
arXiv:2509.01466
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.
10 pages, 1 figure