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Stable Domination and Independence in Algebraically Closed Valued Fields

  • Livre Relié
  • 182 Nombre de pages
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Informationen zum Autor Deirdre Haskell is a Professor in the Department of Mathematics and Statistics at McMaster University. Ehu... Lire la suite
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Description

Informationen zum Autor Deirdre Haskell is a Professor in the Department of Mathematics and Statistics at McMaster University. Ehud Hrushovski is a Professor in the School of Mathematics at the University of Leeds. Dugald Macpherson is a Professor in the Department of Mathematics at the Hebrew University at Jerusalem. Klappentext This book presents research in model theory and its applications to valued fields. Zusammenfassung This book addresses a gap in the model-theoretic understanding of valued fields that had limited the interactions of model theory with geometry. It contains significant developments in both pure and applied model theory. Inhaltsverzeichnis 1. Introduction; Part I. Stable Domination: 2. Some background on stability theory; 3. Definition and basic properties of Stc; 4. Invariant types and change of base; 5. A combinatorial lemma; 6. Strong codes for germs; Part II. Independence in ACVF: 7. Some background on algebraically closed valued fields; 8. Sequential independence; 9. Growth of the stable part; 10. Types orthogonal to GAMMA; 11. Opacity and prime resolutions; 12. Maximally complete fields and domination; 13. Invariant types; 14. A maximum modulus principle; 15. Canonical bases and independence given by modules; 16. Other Henselian fields.

Texte du rabat

This book presents new research in model theory and its applications to valued fields.

Résumé
This book addresses a gap in the model-theoretic understanding of valued fields that had limited the interactions of model theory with geometry. It contains significant developments in both pure and applied model theory.

Contenu

1. Introduction; Part I. Stable Domination: 2. Some background on stability theory; 3. Definition and basic properties of Stc; 4. Invariant types and change of base; 5. A combinatorial lemma; 6. Strong codes for germs; Part II. Independence in ACVF: 7. Some background on algebraically closed valued fields; 8. Sequential independence; 9. Growth of the stable part; 10. Types orthogonal to GAMMA; 11. Opacity and prime resolutions; 12. Maximally complete fields and domination; 13. Invariant types; 14. A maximum modulus principle; 15. Canonical bases and independence given by modules; 16. Other Henselian fields.

Informations sur le produit

Titre: Stable Domination and Independence in Algebraically Closed Valued Fields
Sous-titre: Field
Auteur:
Code EAN: 9780521889810
ISBN: 978-0-521-88981-0
Format: Livre Relié
Editeur: Cambridge
Genre: Mathématique
nombre de pages: 182
Poids: 404g
Taille: H227mm x B160mm x T16mm
Année: 2007