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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Bartosova, Dana ; Kwiatkowska, Aleksandra
Total Authors: 2
Document type: Journal article
Source: JOURNAL OF COMBINATORIAL THEORY SERIES A; v. 150, p. 108-136, AUG 2017.
Web of Science Citations: 3
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. (C) 2017 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 13/14458-9 - Algebra in the Cech-Stone compactification and its applications to topological dynamics, ergodic theory and Ramsey theory.
Grantee:Dana Bartosova
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 14/12405-8 - Ramsey expansions and their applications
Grantee:Dana Bartosova
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor