Journal of Symbolic Logic

Stable embeddedness in algebraically closed valued fields

E. Hrushovski and A. Tatarsky

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Abstract

We give some general criteria for the stable embeddedness of a definable set. We use these criteria to establish the stable embeddedness in algebraically closed valued fields of two definable sets: The set of balls of a given radius r < 1 contained in the valuation ring and the set of balls of a given multiplicative radius r < 1. We also show that in an algebraically closed valued field a 0-definable set is stably embedded if and only if its algebraic closure is stably embedded.

Article information

Source
J. Symbolic Logic, Volume 71, Issue 3 (2006), 831-862.

Dates
First available in Project Euclid: 4 August 2006

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1154698580

Digital Object Identifier
doi:10.2178/jsl/1154698580

Mathematical Reviews number (MathSciNet)
MR2250824

Zentralblatt MATH identifier
1109.03027

Citation

Hrushovski, E.; Tatarsky, A. Stable embeddedness in algebraically closed valued fields. J. Symbolic Logic 71 (2006), no. 3, 831--862. doi:10.2178/jsl/1154698580. https://projecteuclid.org/euclid.jsl/1154698580


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