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Minimal Hales-Jewett Sets

Posted on:2013-07-01Degree:Ph.DType:Dissertation
University:Howard UniversityCandidate:Jordan, HenryFull Text:PDF
GTID:1450390008484607Subject:Logic
Abstract/Summary:
A structure is Ramseyian if whenever it is divided into r classes, one of the classes exhibits properties similar to the whole structure. The Hales-Jewett Theorem is one of the major results of Ramsey Theory. In this work, we shall establish the existence of minimal Hales-Jewett sets, and specifically identify one.
Keywords/Search Tags:Hales-jewett
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