Automorphism Groups of Countably Categorical Linear Orders are Extremely Amenable

被引：2

作者：

Dorais, Francois Gilbert ^{[1
]}

Gubkin, Steven ^{[2
]}

McDonald, Daniel ^{[3
]}

Rivera, Manuel ^{[4
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[3] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[4] CUNY, Grad Ctr, New York, NY 10016 USA

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2013年 / 30卷 / 02期

关键词：

Linear orders; Automorphism groups; Countable categoricity; Extreme amenability; Fraisse classes; Ramsey property;

D O I：

10.1007/s11083-012-9252-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：415 / 426

页数：12

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