Submission date: 11 July 2017

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.

Mathematics Subject Classification: 03C65 (Primary), 03C50 (Secondary) ACM-class: F.4.1

Keywords and phrases:

Full text arXiv 1707.03486: pdf, ps.