Published January 1, 2020
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The choice property in tame expansions of o-minimal structures
- 1. Univ Konstanz, Fachbereich Math & Statist, Fach 216, D-78457 Constance, Germany
- 2. Bogazici Univ, Dept Math, TR-34342 Bebek, Turkey
- 3. Univ Illinois, Dept Math, 1409 West Green St, Urbana, IL 61801 USA
Description
We establish the choice property, a weak analogue of definable choice, for certain tame expansions of o-minimal structures. Most noteworthily, this property holds for dense pairs of real closed fields, as well as for expansions of o-minimal structures by a dense independent set.
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