On O-Minimal Expansions of $(\mathbb{Q},<,+,0)$

Abstract

Let $f:\mathbb{Q}\to \mathbb{Q}$ be a function definable in an o-minimal expansion of $(\mathbb{Q},<,+,0)$. We show that $f$ is eventually linear. In addition, we show that this holds in every elementary equivalent structure.

Withdrawn due to a gap in the proof of the main result