Ultrafilters: Where topological dynamics = algebra = combinatorics
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combinatoricsdynamicstopologicalultrafiltersalgebraapplicationbergelsonconnections
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We survey some connections between topological dynamics, semigroups of ultrafilters, and combinatorics. As an application, we give a proof, based on ideas of Bergelson and Hindman, of the Hales-Jewett partition theorem.
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