Bounded pregeometries and pairs of fields

Leonardo Angel; Lou van den Dries

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arXiv · 1707.03486

Bounded pregeometries and pairs of fields

Leonardo Angel·Lou van den Dries

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Abstract

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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BibTeX RIS

Leonardo Angel, Lou van den Dries. 2017-07-11. Bounded pregeometries and pairs of fields. https://arxiv.org/abs/1707.03486

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