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arXiv · 1609.07522

Interpreting formulas of divisible lattice ordered abelian groups

Marcus Tressl
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Abstract

We show that a large class of divisible abelian $\ell$-groups (lattice ordered groups) of continuous functions is interpretable (in a certain sense) in the lattice of the zero sets of these functions. This has various applications to the model theory of these $\ell$-groups, including decidability results.

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Marcus Tressl. 2016-09-23. Interpreting formulas of divisible lattice ordered abelian groups. https://arxiv.org/abs/1609.07522

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