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arXiv 2016-09-23 3 views

Interpreting formulas of divisible lattice ordered abelian groups

Tressl, Marcus

Original · EN

We show that a large class of divisible abelian ℓ-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 ℓ-groups, including decidability results.

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