The study of NIP theories has received much attention from model theorists in the last
decade, fuelled by applications to o-minimal structures and valued fields. This book, the first …

We prove two results about generically stable types p in arbitrary theories. The first, on
existence of strong germs, generalizes results from [2] on stably dominated types. The …

Embedded o-minimal structures Page 1 Bull. London Math. Soc. 42 (2010) 64–74 Cо2009
London Mathematical Society doi:10.1112/blms/bdp098 Embedded o-minimal structures …

Abstract notions of “smallness” are among the most important tools that model theory offers
for the analysis of arbitrary structures. The two most useful notions of this kind are forking …

A first order theory is NIP if all definable families of subsets have finite VC-dimension. We
provide a justification for the intuition that NIP structures should be a combination of stable …

We investigate the question of whether the restriction of an NIP type p∈ S (B) which does
not fork over A⊆ B to A is also NIP, and the analogous question for dp-rank. We show that if …

We study idempotent measures and the structure of the convolution semigroups of
measures over definable groups. We isolate the property of generic transitivity and …

We prove the higher dimensional case of the o-minimal variant of Zilber's Restricted
Trichotomy Conjecture. More precisely, let $\mathcal R $ be an o-minimal expansion of a …

THORN ORTHOGONALITY AND DOMINATION IN UNSTABLE THEORIES 1. Introduction
and preliminaries There are several questions that motiv Page 1 THORN …

Since Shelah's notions of order property and stability was first introduced, most of the study
in this area has been centered around understanding the classification and the geometric …