A simple proof of the density Hales-Jewett theorem

Kanellopoulos, Vassilis; Dodos, Pandelis; Tyros, Konstantinos

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A simple proof of the density Hales-Jewett theorem

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Author(s): Vassilis Kanellopoulos, Pandelis Dodos, Konstantinos Tyros

Publication date: 2013-03-19

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Abstract

We give a purely combinatorial proof of the density Hales--Jewett Theorem that is modeled after Polymath's proof but is significantly simpler. In particular, we avoid the use of the equal-slices measure and work exclusively with the uniform measure.