Assaf HassonAlf Onshuus2026-03-222026-03-22200710.48550/arxiv.0704.3844https://doi.org/10.48550/arxiv.0704.3844https://andeanlibrary.org/handle/123456789/83781Citaciones: 1Let 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.enMathematicsType (biology)Structured program theoremMinimal surfaceMinimal modelCombinatoricsMinimal modelsPure mathematicsDiscrete mathematicspreprint