TWO REMARKS ON POLYNOMIALLY BOUNDED REDUCTS OF THE RESTRICTED ANALYTIC FIELD WITH EXPONENTIATION
NAGOYA MATHEMATICAL JOURNAL, cilt.215, ss.225-237, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 215
- Basım Tarihi: 2014
- Doi Numarası: 10.1215/00277630-2781221
- Dergi Adı: NAGOYA MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.225-237
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Galatasaray Üniversitesi Adresli: Hayır
Özet
This article presents two constructions motivated by a conjecture of van den Dries and Miller concerning the restricted analytic field with exponentiation. The first construction provides an example of two o-minimal expansions of a real closed field that possess the same field of germs at infinity of one-variable functions and yet define different global one-variable functions. The second construction gives an example of a family of infinitely many distinct maximal polynomially bounded reducts (all this in the sense of definability) of the restricted analytic field with exponentiation.