On Polish groups admitting non-essentially countable actions
Description:
Article addresses the question whether every Polish group that is not locally compact admits a Borel action on a standard Borel space whose associated orbit equivalence relation is not essentially countable. The authors e answer this question positively for the class of all Polish groups that embed in the isometry group of a locally compact metric space.
Date:
December 29, 2020
Creator:
Kechris, Alexander S.; Malicki, Maciej; Panagiotopoulos, Aristotelis & Zielinski, Joseph
Item Type:
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Partner:
UNT College of Science