On subgroups of saturated or totally bounded paratopological groups

• Date: 2018
• Main Authors: Banakh, Taras, Ravsky, Sasha
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: saturated paratopological group; group reflexion; 22A15; 54H10; 54H11
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/969
• Journal Title: Algebra and Discrete Mathematics

A paratopological group \(G\) is saturated if the inverse \(U^{-1}\) of each non-empty set \(U\subset G\) has non-empty interior. It is shown that a [first-countable] paratopological group \(H\) is a closed subgroup of a saturated (totally bounded) [abelian] paratopological group if and only if \(H\...