Remainders of semitopological groups or paratopological groups

• Published in: Український математичний журнал
• Date: 2014
• ISSN: 1027-3190
• Main Authors: Lin, Fucai, Liu, Chuan, Xie, Li-Hong
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165999
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Remainders of semitopological groups or paratopological groups / Fucai Lin, Chuan Liu, Li-Hong Xie // Український математичний журнал. — 2014. — Т. 66, № 4. — С. 500–509. — Бібліогр.: 26 назв. — англ.

We mainly discuss the remainders of Hausdorff compactifications of paratopological groups or semitopological groups. Thus, we show that if a nonlocally compact semitopological group G has a compactification bG such that the remainder Y = bG \ G possesses a locally countable network, then G has a cou...