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Elementary equivalence and codimension in p-adic fields |
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| Authors: | L Bélair L van den Dries A Macintyre |
| Institution: | (1) Department of Mathematics, Université de Montréal, 83C 3J7 Montréal, Quebec, Canada;(2) Department of Mathematics, University of Illinois at Urbana-Champaign, 273 Altgeld Hall, 61801 Urbana, IL, USA;(3) Mathematical Institute, University of Oxford, 24-29 St. Giles', OX1 3LB Oxford, England |
| Abstract: | 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. |
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