Automorphism Groups of Countably Categorical Linear Orders are Extremely Amenable

Details Automorphism Groups of Countably Categorical Linear Orders are Extremely Amenable Automorphism Groups of Countably Categorical Linear Orders are Extremely Amenable

2012-02-18

arxiv.org/abs/1202.4092v1

Mathematics

Logic

Scientific paper

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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