Extremely amenable groups via continuous logic
classification
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keywords
continuousgrouplogicamenabilityamenablecharacterizationclosedcountable
read the original abstract
We establish a characterization of extreme amenability of any Polish group in Fra\"iss\'e-theoretic terms in the setting of continuous logic, mirroring a theorem due to Kechris, Pestov and Todorcevic for closed subgroups of the permutation group of an infinite countable set.
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