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p-adically closed fields with nonstandard analytic structure

Published online by Cambridge University Press:  12 March 2014

Ali Bleybel
Ali Bleybel*
Affiliation:
Lebanese University, Faculty of Sciences Hadath, Lebanon. E-mail: [email protected]
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Abstract

We prove quantifier elimination for the field ℚp((tℚ)) (the completion of the field of Puiseux series over ℚp) in Macintyre's language together with symbols for functions in a class containing both t-adically and p-adically overconvergent functions. We also show that the theory of ℚp((tℚ)) is b-minimal in this language.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 3 , September 2010 , pp. 802 - 816
Copyright
Copyright © Association for Symbolic Logic 2010

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