Bounded pregeometries and pairs of fields
Logic
2017-07-13 v1
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.
Keywords
Cite
@article{arxiv.1707.03486,
title = {Bounded pregeometries and pairs of fields},
author = {Leonardo Angel and Lou van den Dries},
journal= {arXiv preprint arXiv:1707.03486},
year = {2017}
}
Comments
15 pages,