Topological games and topological groups

✍ Scribed by Petar S. Kenderov; Ivaylo S. Kortezov; Warren B. Moors

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 103 KB
• Volume: 109
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(99)00152-2

✦ Synopsis

A semitopological group (topological group) is a group endowed with a topology for which multiplication is separately continuous (multiplication is jointly continuous and inversion is continuous). In this paper we give some topological conditions on a semitopological group that imply that it is a topological group. In particular, we show that every almost Čech-complete semitopological group is a topological group. Thus we improve some recent results of A. Bouziad.