We study the theory of lovely pairs of geometric structures, in particular o-minimal structures. We characterize “linear" theories in terms of properties of the corresponding theory of the lovely… (More)

We introduce the notion of a lovely pair of models of a simple theory T , generalizing Poizat’s “belles paires” of models of a stable theory and the third author’s “generic pairs” of models of an SU… (More)

We study the class of weakly locally modular geometric theories introduced in [5], a common generalization of the classes of linear SU-rank 1 and linear o-minimal theories. We nd new conditions… (More)

We continue the study of the connection between the “geometric” properties of SU -rank 1 structures and the properties of “generic” pairs of such structures, started in [8]. In particular, we show… (More)

We study the theory T ∗ of the structure induced by parameter free formulas on a dense algebraically independent subset of a model of a geometric theory T . We show that while being a trivial… (More)

We generalize the work of [13] on expansions of o-minimal structures with dense independent subsets, to the setting of geometric structures. We introduce the notion of an H-structure of a geometric… (More)