An introduction to stability theory

  • Daniel Palacín

    The Hebrew University of Jerusalem, Israel
An introduction to stability theory cover
Download Chapter PDF

A subscription is required to access this book chapter.


These lecture notes are based on the first section of Pillay's book [3] and they cover fundamental notions of stability theory such as defi nable types, forking calculus and canonical bases, as well as stable groups and homogeneous spaces. The approach followed here is originally due to Hrushovski and Pillay [2], who presented stability from a local point of view.

Throughout the notes, some general knowledge of model theory is assumed. I recommend the book of Tent and Ziegler [4] as an introduction to model theory. Furthermore, the texts of Casanovas [1] and Wagner [5] may also be useful to the reader to obtain a di fferent approach to stability theory.