Bounded pregeometries and pairs of fields
classification
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keywords
fieldspairsboundedclosedpairalgebraicallyalmostcertain
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A definable set in a pair (K, k) of algebraically closed fields is co-analyzable relative to the subfield k of the pair if and only if it is almost internal to k. To prove this and some related results for tame pairs of real closed fields we introduce a certain kind of bounded pregeometry for such pairs.
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