Simple Theories And Hyperimaginaries
Download Simple Theories And Hyperimaginaries PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Simple Theories And Hyperimaginaries book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Simple Theories and Hyperimaginaries
Author: Enrique Casanovas
language: en
Publisher: Cambridge University Press
Release Date: 2011-06-30
In the 1990s Kim and Pillay generalized stability, a major model theoretic idea developed by Shelah twenty-five years earlier, to the study of simple theories. This book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of general model theory, the foundations of forking, stability, and simplicity are presented in full detail. The treatment of the topics is as general as possible, working with stable formulas and types and assuming stability or simplicity of the theory only when necessary. The author offers an introduction to independence relations as well as a full account of canonical bases of types in stable and simple theories. In the last chapters the notions of internality and analyzability are discussed and used to provide a self-contained proof of elimination of hyperimaginaries in supersimple theories.
Simplicity Theory
An up-to-date account of the current techniques and results in Simplicity Theory, which has been a focus of research in model theory for the last decade. Suitable for logicians, mathematicians and graduate students working on model theory.
Models and Computability
Author: S. Barry Cooper
language: en
Publisher: Cambridge University Press
Release Date: 1999-06-17
Second of two volumes providing a comprehensive guide to the current state of mathematical logic.