A Metamathematical Condition Equivalent to the Existence of a Complete Left Invariant Metric for a Polish Group
2006 ◽
Vol 71
(4)
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pp. 1108-1124
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AbstractStrengthening a theorem of Hjorth this paper gives a new characterization of which Polish groups admit compatible complete left invariant metrics. As a corollary it is proved that any Polish group without a complete left invariant metric has a continuous action on a Polish space whose associated orbit equivalence relation is not essentially countable.
2006 ◽
Vol 71
(4)
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pp. 1081-1096
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2002 ◽
Vol 67
(4)
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pp. 1520-1540
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