Ax-Kochen-Ershov principles for valued and ordered vector spaces

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08_Ax_Kochen_Ershov_Principles_1997.pdf
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1997
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Kuhlmann, Franz-Viktor
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W. CHARLES HOLLAND, , ed. and others. Ordered Algebraic Structures. Dordrecht: Kluwer, 1997, pp. 237-259
Zusammenfassung

We study extensions of valued vector spaces with variable base field, introducing the notion of disjointness and valuation disjointness in this setting. We apply the results to determine the model theoretic properties of valued vector spaces (with variable base field) relative to that of their skeletons. We study the model theory of the skeletons in special cases. We apply the results to ordered vector spaces with compatible valuation.

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510 Mathematik
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ISO 690KUHLMANN, Franz-Viktor, Salma KUHLMANN, 1997. Ax-Kochen-Ershov principles for valued and ordered vector spaces. In: W. CHARLES HOLLAND, , ed. and others. Ordered Algebraic Structures. Dordrecht: Kluwer, 1997, pp. 237-259
BibTex
@inproceedings{Kuhlmann1997AxKoc-582,
  year={1997},
  title={Ax-Kochen-Ershov principles for valued and ordered vector spaces},
  publisher={Kluwer},
  address={Dordrecht},
  booktitle={Ordered Algebraic Structures},
  pages={237--259},
  editor={W. Charles Holland},
  author={Kuhlmann, Franz-Viktor and Kuhlmann, Salma}
}
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