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arXiv:1704.03050 [math.LO]AbstractReferencesReviewsResources

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

Pablo Cubides Kovacsics, Françoise Delon

Published 2017-04-10Version 1

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.

Comments: 6 pages
Categories: math.LO, math.NT
Subjects: 03C64, 11Dxx
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