Ramsey Theory for Words over an Infinite Alphabet

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dc.creatorFarmaki, Vassiliki
dc.date2009-04-13
dc.date.accessioned2026-07-07T13:03:24Z
dc.date.available2026-07-07T13:03:24Z
dc.descriptionA complete partition theory is presented for omega-located words (and omega-words), namely for located words over an infinite alphabet dominated by a fixed increasing sequence. This theory strengthens in an essential way the classical Carlson, Furstenberg-Katznelson, and Bergelson-Blass-Hindman partition theory for words over a finite alphabet. Consequences of this theory are strong simultaneous extensions of the classical Hindman, Milliken-Taylor partition theorem, and of a van der Waerden theorem for general semigroups, extending results of Hindman-Strauss and Beiglbock.
dc.identifierhttps://arxiv.org/abs/0904.1948
dc.identifierhttp://arxiv.org/abs/0904.1948
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226792
dc.subjectCombinatorics
dc.subject05D10
dc.titleRamsey Theory for Words over an Infinite Alphabet
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