The independence property in generalized dense pairs of structures

Author:

Berenstein Alexander,Dolich Alf,Onshuus Alf

Abstract

AbstractWe provide a general theorem implying that for a (strongly) dependent theoryTthe theory of sufficiently well-behaved pairs of models ofTis again (strongly) dependent. We apply the theorem to the case of lovely pairs of thorn-rank one theories as well as to a setting of dense pairs of first-order topological theories.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference25 articles.

1. Generic pairs of SU-rank 1 structures

2. Pillay A. , On externally definable sets and a theorem of Shelah, preprint, available at www.amsta.leeds.ac.uk/~pillay/.

3. Tame Topology and O-minimal Structures

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