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A structure is Ramseyian if whenever it is divided into r classes, one of the classes exhibits properties similar to the whole structure. One of the concerns of Ramsey Theory is finding the smallest integer or set size for which a particular property holds. The Hales-Jewett Theorem is one of the major results of Ramsey Theory. In this work, the existence of minimal Hales-Jewett sets is established, and one is specifically identified.

Produktbeschreibung
A structure is Ramseyian if whenever it is divided into r classes, one of the classes exhibits properties similar to the whole structure. One of the concerns of Ramsey Theory is finding the smallest integer or set size for which a particular property holds. The Hales-Jewett Theorem is one of the major results of Ramsey Theory. In this work, the existence of minimal Hales-Jewett sets is established, and one is specifically identified.
Autorenporträt
Henry Jordan lives in Washington, DC. His active areas of interest are combinatorics, and applications of computers to mathematics and mathematics instruction. He received his Ph.D. from Howard University.