One dimensional structures in o-minimal theories

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We prove the Zil'ber Trichotomy Principle for all 1-dimensional structures which are definable in o-minimal ones. In particular, we show that any stable 1-dimensional structure is necessarily locally modular. The main tool is a theory for intersection of curves which we develop.

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Logic, 03C45; 03C64

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http://salesiana.dossiersoluciones.com/handle/123456789/124630

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702748
 http://arxiv.org/abs/math/0702748

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arXiv