manuscripta mathematica

, Volume 62, Issue 2, pp 219–225 | Cite as

Elementary equivalence and codimension in p-adic fields

  • L. Bélair
  • L. van den Dries
  • A. Macintyre


We give examples of fields elementarily equivalent to a given finite extension of the p-adic numbers but not containing a subfield of finite codimension elementarily equivalent to the p-adics.


Number Theory Algebraic Geometry Topological Group Finite Extension Finite Codimension 
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  1. [PR]
    A. Prestel and P. Roquette.Formally p-adic Fields, Springer-Verlag, LNM 1050, 1984Google Scholar
  2. [We]
    A. Weil. Adèles and Algebraic Groups. Institute for Advanced Study, Princeton, 1961Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • L. Bélair
    • 1
  • L. van den Dries
    • 2
  • A. Macintyre
    • 3
  1. 1.Department of MathematicsUniversité de MontréalMontréalCanada
  2. 2.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  3. 3.Mathematical InstituteUniversity of OxfordOxfordEngland

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