Homogeneous spaces and transitive actions by Polish groups

J. van Mill

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Abstract

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. © 2008 The Hebrew University of Jerusalem.
Original languageEnglish
Pages (from-to)133-159
JournalIsrael Journal of Mathematics
Volume165
DOIs
Publication statusPublished - 2008

Bibliographical note

MR2403618

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