Abstract
We prove that if (G, ·) is a group with a metric, separable, and Baire topology τ such that h → g · h is continuous for all g ε G and g → g · h is Baire measurable for all h ε G, then (G, T) is a topological group. Several consequences of this result concerning free actions of standard Borel groups are established.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 65-75 |
| Number of pages | 11 |
| Journal | Topology and its Applications |
| Volume | 77 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1997 |
| Externally published | Yes |
Keywords
- Automatic continuity
- Baire measurable function
- Polish group
- Semitopological group
ASJC Scopus subject areas
- Geometry and Topology