%0 Journal Article %T Gowers' Ramsey Theorem with multiple operations and dynamics of the homeomorphism group of the Lelek fan %A Dana Barto£żov¨˘ %A Aleksandra Kwiatkowska %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1411.5134v2