Topo-troups and aTychonoff type theorem.
Source
Sultan Qaboos University Journal for Science. v. 27, no. 2, p. 100-106.
Author
Shahryari, Mohammad.
Publisher
College of Science, Sultan Qaboos University.
English 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.
Identifier
DOI:10.53539/squjs.vol27iss2pp100-106