The choice property in tame expansions of o-minimal structures

Pantelis E. Eleftheriou; Ayhan Günaydın; Philipp Hieronymi

doi:10.1002/malq.201900055

The choice property in tame expansions of o-minimal structures

Pantelis E. Eleftheriou
, Ayhan Günaydın
, Philipp Hieronymi

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	239-246
Number of pages	8
Journal	Mathematical Logic Quarterly
Volume	66
Issue number	2
Early online date	Jun 23 2020
DOIs	https://doi.org/10.1002/malq.201900055
State	Published - Jul 1 2020

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Logic

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10.1002/malq.201900055License: CC BY-NC-ND

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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.",

author = "Eleftheriou, \{Pantelis E.\} and Ayhan G{\"u}naydın and Philipp Hieronymi",

note = "The first author was supported by an Independent Research Grant from the German Research Foundation (DFG) and a Zukunftskolleg Research Fellowship. The second author was partially supported by TUBITAK Career Grant 113F119. The third author was partially supported by NSF grants DMS\textbackslash{}u20101300402 and DMS\textbackslash{}u20101654725.",

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AU - Eleftheriou, Pantelis E.

AU - Günaydın, Ayhan

AU - Hieronymi, Philipp

N1 - The first author was supported by an Independent Research Grant from the German Research Foundation (DFG) and a Zukunftskolleg Research Fellowship. The second author was partially supported by TUBITAK Career Grant 113F119. The third author was partially supported by NSF grants DMS\u20101300402 and DMS\u20101654725.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - 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.

AB - 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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DO - 10.1002/malq.201900055

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AN - SCOPUS:85087150432

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JO - Mathematical Logic Quarterly

JF - Mathematical Logic Quarterly

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The choice property in tame expansions of o-minimal structures

Abstract

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