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

Fran\c{c}oise Delon; Pablo Cubides Kovacsics

arxiv: 1704.03050 · v2 · pith:GD7NNJ6Anew · submitted 2017-04-10 · 🧮 math.LO · math.NT

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

Pablo Cubides Kovacsics , Fran\c{c}oise Delon This is my paper

classification 🧮 math.LO math.NT

keywords mathbbo-minimaladditiondefinableelementaryequivalenteventuallyevery

0 comments

read the original 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.

This paper has not been read by Pith yet.

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

discussion (0)