2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124630We 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.Logic03C45; 03C64One dimensional structures in o-minimal theoriestext