Stable embeddedness in algebraically closed valued fields
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AbstractWe 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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2008 ◽
Vol 08
(01)
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pp. 1-22
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2018 ◽
Vol 18
(02)
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pp. 1850007
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2002 ◽
Vol 45
(1)
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pp. 219-227
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2001 ◽
Vol 7
(2)
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pp. 262-269
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2012 ◽
Vol 12
(01)
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pp. 1250125
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2006 ◽
Vol 71
(3)
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pp. 791-798
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