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Simple Theories and Hyperimaginaries: Lecture Notes in Logic, cartea 39

Autor Enrique Casanovas
en Limba Engleză Hardback – 29 iun 2011
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.
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Specificații

ISBN-13: 9780521119559
ISBN-10: 0521119553
Pagini: 184
Dimensiuni: 155 x 233 x 15 mm
Greutate: 0.36 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Lecture Notes in Logic

Locul publicării:New York, United States

Cuprins

1. Preliminaries; 2. ∂-types, stability and simplicity; 3. Δ-types and the local rank D(π, Δ, k); 4. Forking; 5. Independence; 6. The local rank CB∆(π); 7. Heirs and coheirs; 8. Stable forking; 9. Lascar strong types; 10. The independence theorem; 11. Canonical bases; 12. Abstract independence relations; 13. Supersimple theories; 14. More ranks; 15. Hyperimaginaries; 16. Hyperimaginary forking; 17. Canonical bases revisited; 18. Elimination of hyperimaginaries; 19. Orthogonality and analysability; 20. Hyperimaginaries in supersimple theories.

Notă biografică


Descriere

This book is a self-contained, up-to-date introduction to simple theories and the model theory of hyperimaginaries.