Mathematics – Logic
Scientific paper
2007-02-25
Mathematics
Logic
Scientific paper
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.
Hasson Assaf
Onshuus Alf
Peterzil Ya'acov
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