Homogeneous spaces and transitive actions by Polish groups
- Cite this article as:
- van Mill, J. Isr. J. Math. (2008) 165: 133. doi:10.1007/s11856-008-1007-0
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We prove that for every homogeneous and strongly locally homogeneous Polish space X there is a Polish group admitting a transitive action on X. We also construct an example of a homogeneous Polish space which is not a coset space and on which no separable metrizable topological group acts transitively.