Lovely pairs of models: the non first order case

Abstract

We prove that for every simple theory T (or even simple thick compact abstract theory) there is a (unique) compact abstract theory T^𝔓 whose saturated models are the lovely pairs of T. Independence-theoretic results that were proved in [ppv:pairs] when T^𝔓 is a first order theory are proved for the general case: in particular T^𝔓 is simple and we characterise independence.