PlanetPhysics/Topological G Space
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Essential Data[edit | edit source]
Let us recall the definition of a topological group; this is a group together with a topology on such that is continuous, i.e., from into . Note also that is regarded as a topological space defined by the product topology.
Definition: Topological Group[edit | edit source]
Consider to be a topological group with the above notations, and also let be a topological space, such that an action of on is continuous if is continuous; with these conditions, is defined to be a topological G-space .
All Sources[edit | edit source]
References[edit | edit source]
- ↑ Howard Becker, Alexander S. Kechris. 1996. The Descriptive Set Theory of Polish Group Actions Cambridge University Press: Cambridge, UK, p.14.