Stable Domination and Independence in Algebraically Closed Valued - Field

Klappentext This 2008 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 ¿; 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.

Dettagli sul prodotto

• Autori: Deirdre Haskell, Deirdre Hrushovski Haskell, Ehud Hrushovski, Dugald MacPherson
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 30.06.2011
• EAN: 9780521335157
• ISBN: 978-0-521-33515-7
• Pagine: 196
• Serie: Lecture Notes in Logic
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Fondamenti