On subgroups of saturated or totally bounded paratopological groups

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Authors: Banakh, T., Ravsky, S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155719
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On subgroups of saturated or totally bounded paratopological groups / T. Banakh, S. Ravsky // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 1–20. — Бібліогр.: 25 назв. — англ.

A paratopological group G is saturated if the inverse U ⁻¹ of each non-empty set U ⊂ 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 admits a continuous b...