Work

The choice property in tame expansions of o‐minimal structures

Year: 2020

Type: article

Abstract: 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.

Source: Mathematical logic quarterly

DOI: 10.1002/malq.201900055

Authors: Pantelis E. Eleftheriou, Ayhan Günaydın, Philipp Hieronymi

Institutions: University of Konstanz, Boğaziçi University, University of Illinois Urbana-Champaign

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,500

Funders: National Science Foundation, Deutsche Forschungsgemeinschaft, Türkiye Bilimsel ve Teknolojik Araştırma Kurumu