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arXiv · 1411.5134

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

Dana Bartošová·Aleksandra Kwiatkowska
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Abstract

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.

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Dana Bartošová, Aleksandra Kwiatkowska. 2014-11-19. Gowers' Ramsey Theorem with multiple operations and dynamics of the homeomorphism group of the Lelek fan. https://arxiv.org/abs/1411.5134

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