Automatic continuity of group operations

✍ Scribed by S Solecki; S.M Srivastava

• Book ID: 104295138
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 734 KB
• Volume: 77
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(96)00119-8

✦ Synopsis

We prove that if (G, .) is a group with a metric, separable, and Baire topology 7such that h + g. h is continuous for all g E G and g -+ g. h is Baire measurable for all h E G, then (G, 7) is a topological group. Several consequences of this result concerning free actions of standard Bore1 groups are established. 0 1997 Elsevier Science B.V.