Remainders of Semitopological Groups or Paratopological Groups

• Date: 2014
• Main Authors: Lin, Fucai, Liu, Chuan, Xie, Li-Hong, Лін, Фуцай, Лю, Шуан, Хє, Лі-Гонг
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2152
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...