Simple Theories and Hyperimaginaries

ISBN-13: 9780521119559 / Angielski / Twarda / 2011 / 169 str.

Enrique Casanovas

Opis

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

Spis treści

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.