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Stable Domination and Independence in Algebraically Closed Valued Fields

Deirdre Haskell, Ehud Hrushovski, and Dugald Macpherson
Publisher: 
Cambridge University Press
Publication Date: 
2008
Number of Pages: 
179
Format: 
Hardcover
Series: 
Lecture Notes in Logic 30
Price: 
65.00
ISBN: 
9780521889810
Category: 
Monograph
We do not plan to review this book.

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 Γ; 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.

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