Saturated o-minimal expansions of real closed fields

Conversano, Annalisa; D'Aquino, Paola; Kuhlmann, Salma

Saturated o-minimal expansions of real closed fields

Dateien

conversano_212602.pdfGröße: 191.03 KBDownloads: 66

Datum

2012

Autor:innen

Conversano, Annalisa

D'Aquino, Paola

Kuhlmann, Salma

Publikationstyp

Preprint

Zusammenfassung

In F.-V. Kuhlmann, S. Kuhlmann, M. Marshall, M. Zekavat: "Embedding ordered fields in formal power series fields" we gave a valuation theoretic characterization for a real closed field to be $\kappa$-saturated, for a cardinal $\kappa \geq \aleph_0$. In this paper, we adapt the proof of Theorem 6.2, and generalize the result, giving necessary and sufficient conditions for an o-minimal expansion of a real closed field to be $\kappa$-saturated.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

natural valuation, value group, residue field, pseudo- Cauchy sequences, polynomially bounded o-minimal expansion of a real closed field, definable closure, dimension, saturation

Zitieren

ISO 690

CONVERSANO, Annalisa, Paola D'AQUINO, Salma KUHLMANN, 2012. Saturated o-minimal expansions of real closed fields

BibTex

@unpublished{Conversano2012Satur-21260,
  year={2012},
  title={Saturated o-minimal expansions of real closed fields},
  author={Conversano, Annalisa and D'Aquino, Paola and Kuhlmann, Salma}
}

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