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Preprint Number 55
55. Assaf Hasson, Alf Onshuus, Ya'acov Peterzil
One dimensional structures in o-minimal theories
Submission date: 26 February 2007.
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.
Mathematics Subject Classification: 03C45; 03C64
Keywords and phrases: o-minimality, Zilber's trichotomy, strongly minimal sets.
Full text: arXiv.
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