The choice property in tame expansions of o-minimal structures

Eleftheriou, Pantelis; GÜNAYDIN, AYHAN; Hieronymi, Philipp

doi:10.1002/malq.201900055

The choice property in tame expansions of o-minimal structures

Eleftheriou P. E., GÜNAYDIN A., Hieronymi P.

Mathematical Logic Quarterly, cilt.66, sa.2, ss.239-246, 2020 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 66 Sayı: 2
Basım Tarihi: 2020
Doi Numarası: 10.1002/malq.201900055
Dergi Adı: Mathematical Logic Quarterly
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, INSPEC, MathSciNet, Philosopher's Index, zbMATH, DIALNET
Sayfa Sayıları: ss.239-246
Boğaziçi Üniversitesi Adresli: Evet

Özet

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.