Proximal and Descriptive Topological Rings: Structure and Properties
Algebraic Topology
2025-09-03 v1
Abstract
The set of open subsets in a proximity space (X,{\zeta}) 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.
Cite
@article{arxiv.2509.01466,
title = {Proximal and Descriptive Topological Rings: Structure and Properties},
author = {Maram Almahariq},
journal= {arXiv preprint arXiv:2509.01466},
year = {2025}
}
Comments
10 pages, 1 figure