Extremely amenable groups via continuous logic

Julien Melleray; Todor Tsankov

Extremely amenable groups via continuous logic

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arxiv 1404.4590 v1 pith:OM5KHR6A submitted 2014-04-17 math.LO

Julien Melleray , Todor Tsankov This is my paper · ORCID

classification math.LO

keywords continuousgrouplogicamenabilityamenablecharacterizationclosedcountable

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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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