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arXiv:1411.5134 [math.LO]AbstractReferencesReviewsResources

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

Dana Bartošová, Aleksandra Kwiatkowska

Published 2014-11-19Version 1

We study dynamics of the homeomorphism group of a compact, connected, metric space called the Lelek fan. We show that a group of homeomorphisms of the Lelek fan that preserve a certain order is extremely amenable. In order to do that, we generalize a finite version of the Gowers' Ramsey theorem to multiple tetris-like operations.

Categories: math.LO, math.CO, math.DS
Subjects: 05D10, 37B05, 54F15, 03C98
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