Unstable structures definable in o-minimal theories

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dc.contributor.authorAssaf Hasson
dc.contributor.authorAlf Onshuus
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T20:44:18Z
dc.date.available2026-03-22T20:44:18Z
dc.date.issued2007
dc.descriptionCitaciones: 1
dc.description.abstractLet M be an o-minimal structure with elimination of imaginaries, N an unstable structure definable in M. Then there exists X, interpretable in N, such that X with all the structure induced from N is o-minimal. In particular X is linearly ordered. As part of the proof we show: Theorem 1: If the M-dimenson of N is 1 then any 1-N-type is either strongly stable or finite by o-minimal. Theorem 2: If N is N-minimal then it is 1-M-dimensional.
dc.identifier.doi10.48550/arxiv.0704.3844
dc.identifier.urihttps://doi.org/10.48550/arxiv.0704.3844
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/83781
dc.language.isoen
dc.publisherCornell University
dc.relation.ispartofarXiv (Cornell University)
dc.sourceBen-Gurion University of the Negev
dc.subjectMathematics
dc.subjectType (biology)
dc.subjectStructured program theorem
dc.subjectMinimal surface
dc.subjectMinimal model
dc.subjectCombinatorics
dc.subjectMinimal models
dc.subjectPure mathematics
dc.subjectDiscrete mathematics
dc.titleUnstable structures definable in o-minimal theories
dc.typepreprint

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