A note on ℵα-saturated o-minimal expansions of real closed fields

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D'AQUINO, Paola, Salma KUHLMANN, 2015. A note on ℵα-saturated o-minimal expansions of real closed fields. In: Algebra and Logic. ISSN 0002-5232. eISSN 1573-8302

@article{DAquino2015-11satur-33138, title={A note on ℵα-saturated o-minimal expansions of real closed fields}, year={2015}, issn={0002-5232}, journal={Algebra and Logic}, author={D'Aquino, Paola and Kuhlmann, Salma} }

eng D'Aquino, Paola A note on ℵ<sub>α</sub>-saturated o-minimal expansions of real closed fields 2016-02-26T14:39:31Z 2016-02-26T14:39:31Z We give necessary and sufficient conditions for a polynomially bounded o-minimal expansion of a real closed field (in a language of arbitrary cardinality) to be ℵ<sub>α</sub>-saturated. The conditions are in terms of the value group, residue field, and pseudo- Cauchy sequences of the natural valuation on the real closed field. This is achieved by an analysis of types, leading to the trichotomy. Our characterization provides a construction method for saturated models, using fields of generalized power series. 2015-11 D'Aquino, Paola Kuhlmann, Salma Kuhlmann, Salma

Dateiabrufe seit 26.02.2016 (Informationen über die Zugriffsstatistik)

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