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Polish G-space (Definition)
Definition 0.1   Let $X$ be a topological $G$-space, and $G$ its associated topological group (that is, such that an action $a$ of $G$ on $X$ is continuous if $a : G \times X \to X$ is continuous). If $G$ is a Polish group and $X$ is also a Polish space, then $X$ is called a Polish G-space.

Bibliography

1
Howard Becker, Alexander S. Kechris. 1996. The Descriptive Set Theory of Polish Group Actions Cambridge University Press: Cambridge, UK, p.14.



"Polish G-space" is owned by bci1.

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See Also: topological G-space, index of algebraic topology

Keywords:  Polish G-space

Cross-references: Polish group, topological group
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This is version 2 of Polish G-space, born on 2009-02-02, modified 2009-02-02.
Object id is 469, canonical name is PolishGSpace.
Accessed 339 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)
 03. (Quantum mechanics, field theories, and special relativity )
 03.65.Fd (Algebraic methods )
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