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)

It is well-known that a topological group can be represented as a group of isometries of a reflexive Banach space if and only if its topology is induced by weakly almost periodic functions (see… (More)

We study the theory of Lovely pairs of þ-rank one theories, in particular O-minimal theories. We show that the class of א0-saturated dense pairs of O-minimal structures studied by van den Dries [6]… (More)

We provide a general theorem implying that for a (strongly) dependent theory T the theory of sufficiently well-behaved pairs of models of T is again (strongly) dependent. We apply the theorem to the… (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)

The class of generic structures among those consisting of the measure algebra of a probability space equipped with an automorphism is axioma-tizable by positive sentences interpreted using an… (More)

Let G be a countable group. We proof that there is a model companion for the approximate theory of a Hilbert space with a group G of automorphisms. We show that G is amenable if and only if the… (More)

We give a model-theoretic account for several results regarding sequences of random variables appearing in Berkes & Rosenthal [BR85]. In order to do this, • We study and compare three notions of… (More)