Gowers' Ramsey theorem with multiple operations and dynamics of the homeomorphism group of the Lelek fan

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:150

Article

Bartosova, Dana^1,2  Kwiatkowska, Aleksandra^3,4 

[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, Brazil

[2] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

[3] Univ Munster, Inst Math Log & Grundlagenforsch, Einsteinstr 62, D-48149 Munster, Germany

[4] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

关键词: Gowers' Ramsey Theorem;    Lelek fan;    Fraisse limits;    Extreme amenability;   

DOI  :  10.1016/j.jcta.2017.02.002

来源: Elsevier

【 摘 要 】

We generalize the finite version of Gowers' Ramsey theorem to multiple tetris-like operations and apply it to show that a group of homeomorphisms that preserve a typical linear order of branches of the Lelek fan, a compact connected metric space with many symmetries, is extremely amenable. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free