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.
Keywords
Publication details
- DOI
- 10.53539/squjs.vol27iss2pp100-106
- Journal
- Sultan Qaboos University Journal for Science, 27(2), 100-106
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY-ND 4.0
Cite this article
APA 7
Shahryari, M. (2023). Topo-Groups and aTychonoff Type Theorem. Sultan Qaboos University Journal for Science, 27(2), 100-106. https://doi.org/10.53539/squjs.vol27iss2pp100-106
MLA 9
Shahryari, M. "Topo-Groups and aTychonoff Type Theorem." Sultan Qaboos University Journal for Science, vol. 27, no. 2, 2023, pp. 100-106. https://doi.org/10.53539/squjs.vol27iss2pp100-106.
Chicago (author–date)
Shahryari, M. 2023. "Topo-Groups and aTychonoff Type Theorem." Sultan Qaboos University Journal for Science 27 (2): 100-106. https://doi.org/10.53539/squjs.vol27iss2pp100-106.
Harvard
Shahryari, M. (2023) 'Topo-Groups and aTychonoff Type Theorem', Sultan Qaboos University Journal for Science, 27(2), pp. 100-106. doi:10.53539/squjs.vol27iss2pp100-106.
Vancouver
Shahryari M. Topo-Groups and aTychonoff Type Theorem. Sultan Qaboos University Journal for Science. 2023;27(2):100-106. doi:10.53539/squjs.vol27iss2pp100-106
IEEE
M. Shahryari, "Topo-Groups and aTychonoff Type Theorem," Sultan Qaboos University Journal for Science, vol. 27, no. 2, pp. 100-106, 2023, doi: 10.53539/squjs.vol27iss2pp100-106.