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 further investigate the class of models of a strongly dependent (first order complete)
theory T, continuing [Sh: 715],[Sh: 783] and related works. Those are properties (= classes) …

Model theory, a major branch of mathematical logic, plays a key role connecting logic and
other areas of mathematics such as algebra, geometry, analysis, and combinatorics …

A ternary relation between subsets of the big model of a complete first-order theory T is
called an independence relation if it satisfies a certain set of axioms. The primary example is …

The open core of an expansion of a dense linear order is its reduct, in the sense of
definability, generated by the collection of all of its open definable sets. In this paper …

Introduction to theories without the independence property Page 1 Introduction to theories
without the independence property Hans Adler∗ 4th June 2008 Abstract We present an updated …

ON DP-MINIMALITY, STRONG DEPENDENCE AND WEIGHT §1. Introduction and
preliminaries. 1.1. Introduction. The original goal of this Page 1 THE JOURNAL OF …

We study the theory of lovely pairs of geometric structures, in particular o-minimal structures.
We use the pairs to isolate a class of geometric structures called weakly locally modular …

We initiate the study of a generalization of Kim-independence, Conant-independence,
based on the" strong Kim-dividing" of Kaplan, Ramsey and Shelah. We introduce an axiom …

We examine several conditions, either the existence of a rank or a particular property of þ-
forking that suggest the existence of a well-behaved independence relation, and determine …