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A Metamathematical Condition Equivalent to the Existence of a Complete Left Invariant Metric for a Polish Group
Published online by Cambridge University Press: 12 March 2014
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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- Research Article
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- Copyright © Association for Symbolic Logic 2006
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