A valuation theoretic characterization of recursively saturated real closed fields

D'Aquino, Paola; Kuhlmann, Salma; Lange, Karen

A valuation theoretic characterization of recursively saturated real closed fields

Dateien

DAquino_0-288863.pdfGröße: 166.68 KBDownloads: 206

Datum

2015

Autor:innen

D'Aquino, Paola

Kuhlmann, Salma

Lange, Karen

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

The Journal of Symbolic Logic. 2015, 80(1), pp. 194-206. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2014.21

Zusammenfassung

We give a valuation theoretic characterization for a real closed field to be recursively saturated. This builds on work in [9], where the authors gave such a characterization for κ≥N₀. Our result extends the characterization of Harnik and Ressayre [7] for a divisible ordered abelian group to be recursively saturated.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Recursive saturation, Scott sets, natural valuation, value group, residue field, valuation rank, pseudo-Cauchy sequences

Zitieren

ISO 690

D'AQUINO, Paola, Salma KUHLMANN, Karen LANGE, 2015. A valuation theoretic characterization of recursively saturated real closed fields. In: The Journal of Symbolic Logic. 2015, 80(1), pp. 194-206. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2014.21

BibTex

@article{DAquino2015valua-31379,
  year={2015},
  doi={10.1017/jsl.2014.21},
  title={A valuation theoretic characterization of recursively saturated real closed fields},
  number={1},
  volume={80},
  issn={0022-4812},
  journal={The Journal of Symbolic Logic},
  pages={194--206},
  author={D'Aquino, Paola and Kuhlmann, Salma and Lange, Karen}
}

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Universitätsbibliographie

Ja