Homogeneous spaces and transitive actions by Polish groups

J. van Mill

Research output: Contribution to JournalArticleAcademicpeer-review

415 Downloads (Pure)


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
Publication statusPublished - 2008

Bibliographical note



Dive into the research topics of 'Homogeneous spaces and transitive actions by Polish groups'. Together they form a unique fingerprint.

Cite this