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arXiv · 1706.02997

Definable sets up to definable bijections in Presburger groups

Raf Cluckers·Immanuel Halupczok
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Abstract

We entirely classify definable sets up to definable bijections in $\mathbb{Z}$-groups, where the language is the one of ordered abelian groups. From this, we deduce, among others, a classification of definable families of bounded definable sets.

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Raf Cluckers, Immanuel Halupczok. 2017-06-09. Definable sets up to definable bijections in Presburger groups. https://doi.org/10.1112/tlm3.12011

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