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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Définissabilité avec paramètres extérieurs dans $ {\bf Q}\sb p$ et $ {\bf R}$


Author: Françoise Delon
Journal: Proc. Amer. Math. Soc. 106 (1989), 193-198
MSC: Primary 03C40; Secondary 03C60, 12L12
MathSciNet review: 953003
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Abstract: Let $ N$ be an elementary extension of the field $ {{\mathbf{Q}}_p}$ and $ A$ a definable subset of $ {N^n}$. Then $ A \cap {\mathbf{Q}}_p^n$ is definable in $ {{\mathbf{Q}}_p}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0953003-8
PII: S 0002-9939(1989)0953003-8
Keywords: Definable subset, analogy between $ {\mathbf{R}}$ and $ {{\mathbf{Q}}_p}$
Article copyright: © Copyright 1989 American Mathematical Society