Stable Embeddedness in Algebraically Closed Valued Fields

Journal of Symbolic Logic 71 (3):831 - 862 (2006)

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
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DOI 10.2178/jsl/1154698580
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Complete Theories.Abraham Robinson - 1960 - Journal of Symbolic Logic 25 (2):172-174.

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