Submission date: 4 September 2017

Abstract:

Comments: Research partially supported by the program MTM2014-59178-P

We show that the ample degree of a stable theory with trivial forking is preserved when we consider the corresponding theory of belles paires, if it exists. This result also applies to the theory of H-structures of a trivial theory of rank 1.

Mathematics Subject Classification: 03C45

Keywords and phrases: Model Theory, Pairs of Models, Ampleness

Full text arXiv 1709.01021: pdf, ps.