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arXiv · 1202.4092

Automorphism Groups of Countably Categorical Linear Orders are Extremely Amenable

François G. Dorais·Steven Gubkin·Daniel McDonald·Manuel Rivera
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Abstract

We show that the automorphism groups of countably categorical linear orders are extremely amenable. Using methods of Kechris, Pestov, and Todorcevic, we use this fact to derive a structural Ramsey theorem for certain families of finite ordered structures with finitely many partial equivalence relations with convex classes.

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François G. Dorais, Steven Gubkin, Daniel McDonald, Manuel Rivera. 2012-02-18. Automorphism Groups of Countably Categorical Linear Orders are Extremely Amenable. https://doi.org/10.1007/s11083-012-9252-6

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