Density Hales-Jewett Theorem

Hans Jürgen Prömel
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Hans Jürgen Prömel: Technische Universität Darmstadt

Chapter Chapter 18 in Ramsey Theory for Discrete Structures, 2013, pp 205-220 from Springer

Abstract: Abstract Van der Waerden’s theorem guarantees the existence of a monochromatic arithmetic progression. While historically it was proven as a result by itself, nowadays we easily obtain it as a special case of Hales-Jewett’s theorem, cf. Chap. 4. In the light of Szemerédi’s theorem it is thus very natural to ask for a density version of Hales-Jewett’s theorem for lines:

Keywords: Density Hales-Jewett Theorem; Monochromatic Arithmetic Progression; Sperner; Line Combination; Polymath Project (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-319-01315-2_18

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