The elementary theory of Dedekind cuts in polynomially bounded structures

dc.creatorTressl, Marcus
dc.date2003-05-08
dc.date2003-05-09
dc.date.accessioned2026-07-07T04:57:51Z
dc.date.available2026-07-07T04:57:51Z
dc.descriptionLet M be a polynomially bounded, o-minimal structure with archimedean prime model, for example if M is a real closed field. Let C be a convex and unbounded subset of M. We determine the first order theory of the structure M expanded by the set C. We do this also over any given set of parameters from M, which yields a description of all subsets of M^n, definable in the expanded structure.
dc.description16 pages. The paper is a sequel to http://www-nw.uni-regensburg.de/~.trm22116.mathematik.uni-regensburg.de/paper s/cutsa.ps
dc.identifierhttps://arxiv.org/abs/math/0305122
dc.identifierhttp://arxiv.org/abs/math/0305122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67408
dc.subjectLogic
dc.subject03C (primary)
dc.titleThe elementary theory of Dedekind cuts in polynomially bounded structures
dc.typetext

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