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Simple Theories and Hyperimaginaries
by
Casanovas, Enrique
in
First-order logic
/ Hyperspace
/ MATHEMATICS / Logic bisacsh
/ Model theory
2011,2012
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Simple Theories and Hyperimaginaries
by
Casanovas, Enrique
in
First-order logic
/ Hyperspace
/ MATHEMATICS / Logic bisacsh
/ Model theory
2011,2012
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Simple Theories and Hyperimaginaries
2011,2012
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Overview
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.
Publisher
Association for Symbolic Logic,Cambridge University Press
Subject
ISBN
0521119553, 9780521119559
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