Strong density of definable types and closed ordered differential fields
arXiv:1704.08396 · doi:10.1017/jsl.2018.88
Abstract
The following strong form of density of definable types is introduced for theories T admitting a fibered dimension function d: given a model M of T and a definable subset X of M^n, there is a definable type p in X, definable over a code for X and of the same d-dimension as X. Both o-minimal theories and the theory of closed ordered differential fields (CODF) are shown to have this property. As an application, we derive a new proof of elimination of imaginaries for CODF.
There was a mistake page 3, spotted by Anand Pillay, on the canonical base of a type. (It did not affect the results of the paper.)