Polish G-space

Definition 0.1.

Let X be a topological G-space (http://planetmath.org/TopologicalGSpace), and G its associated topological groupMathworldPlanetmath, that is, such that an action a of G on X is continuousPlanetmathPlanetmath if a:G×XX is continuous. If G is a Polish group and X is also a Polish spaceMathworldPlanetmath, then X is called a Polish G-space.


  • 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