A Metamathematical Condition Equivalent to the Existence of a Complete Left Invariant Metric for a Polish Group

Journal of Symbolic Logic 71 (4):1108 - 1124 (2006)

Abstract
Strengthening 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
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DOI 10.2178/jsl/1164060447
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Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.
Descriptive Set Theory.Yiannis Nicholas Moschovakis - 1982 - Studia Logica 41 (4):429-430.

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