An exact Ramsey principle for block sequences

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dc.creatorRosendal, Christian
dc.date2008-07-14
dc.date.accessioned2026-07-07T09:50:13Z
dc.date.available2026-07-07T09:50:13Z
dc.descriptionWe prove an exact, i.e., formulated without $Δ$-expansions, Ramsey principle for infinite block sequences in vector spaces over countable fields, where the two sides of the dichotomic principle are represented by respectively winning strategies in Gowers' block sequence game and winning strategies in the infinite asymptotic game. This allows us to recover Gowers' dichotomy theorem for block sequences in normed vector spaces by a simple application of the basic determinacy theorem for infinite asymptotic games.
dc.identifierhttps://arxiv.org/abs/0807.2205
dc.identifierhttp://arxiv.org/abs/0807.2205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164866
dc.subjectFunctional Analysis
dc.subjectLogic
dc.subject46B03, 03E15
dc.titleAn exact Ramsey principle for block sequences
dc.typetext

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