Topo-Groups and aTychonoff Type Theorem

Authors

Mohammad Shahryari, Department of Mathematics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khod, PC 123, Muscat, Sultanate of Oman

Abstract

We define a topo-system on a group as a set of subgroups satisfying certain topology-like conditions. We study some fundamental properties of groups equipped with a topo-system (topo-groups) and using a suitable formalization of a subgroup filter, we prove a Tychonoff type theorem for the direct product of topo-compact topo-groups.

Recommended Citation

Shahryari, Mohammad (2022) Topo-Groups and aTychonoff Type Theorem, Sultan Qaboos University Journal For Science: Vol. 27: Iss. 2, 100-106.
DOI: https://doi.org/10.53539/squjs.vol27iss2pp100-106
Available at: https://squjs.squ.edu.om/squjs/vol27/iss2/2