Topology Proceedings Document # baao-41

topology proceedings
Topology Proceedings 33 (2009), pp. 153-161
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Homogeneous spaces and transitive actions by ℵ0-bounded groups

Jan van Mill

We construct a homogeneous connected Polish space X on which no ℵ0-bounded topological group acts transitively. In fact, X is homeomorphic to a convex subset of Hilbert space l2.

Keywords: topological group, transitive action, Polish space

Mathematics Subject Classification: 22F05 57S05 22F30 (03E15)

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Topology Proceedings, Volume 33 (2009)
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