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arXiv · 2207.11339

On definable Skolem functions and trichotomy

Bruno Dinis·Mário J. Edmundo
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Abstract

In this paper we give an explicit characterization of o-minimal structures with definable Skolem functions/definable choice. Such structures are, after naming finitely many elements from the prime model, a union of finitely many trivial points each defined over $\emptyset $ and finitely many open intervals each a union of a $\emptyset $-definable family of group-intervals with fixed positive elements.

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Bruno Dinis, Mário J. Edmundo. 2022-07-22. On definable Skolem functions and trichotomy. https://arxiv.org/abs/2207.11339

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