Polish G-space
Definition 0.1.
Let $X$ be a topological $G$-space (http://planetmath.org/TopologicalGSpace), 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.
References
- 1 Howard Becker, Alexander S. Kechris. 1996. The Descriptive Set Theory of Polish Group Actions Cambridge University Press: Cambridge, UK, p.14.
Title | Polish G-space |
Canonical name | PolishGspace |
Date of creation | 2013-03-22 18:24:37 |
Last modified on | 2013-03-22 18:24:37 |
Owner | bci1 (20947) |
Last modified by | bci1 (20947) |
Numerical id | 9 |
Author | bci1 (20947) |
Entry type | Definition |
Classification | msc 22A22 |
Classification | msc 22A10 |
Classification | msc 22A05 |
Classification | msc 54H05 |
Related topic | TopologicalGSpace |
Related topic | PolishGroup |
Related topic | Group |
Related topic | TopologicalGroup2 |
Related topic | PointedTopologicalSpace |
Related topic | BasicResultsInTopologicalGroups |