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Stable Domination and Independence in Algebraically Closed Valued Fields.
This 2008 book presents research in model theory and its applications to valued fields.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2007.
|
| Colección: | Lecture Notes in Logic, 30.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Haskell, Deirdre. | |
| 245 | 1 | 0 | |a Stable Domination and Independence in Algebraically Closed Valued Fields. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2007. | ||
| 300 | |a 1 online resource (196 pages) | ||
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| 490 | 1 | |a Lecture Notes in Logic, 30 ; |v v. 30 | |
| 505 | 0 | |a COVER; HALF-TITLE; SERIES-TITLE; TITLE; COPYRIGHT; CONTENTS; PREFACE; Acknowledgments; CHAPTER 1 INTRODUCTION; PART 1 STABLE DOMINATION; CHAPTER 2 SOME BACKGROUND ON STABILITY THEORY; 2.1. Saturation, the universal domain, imaginaries; 2.2. Invariant types; 2.3. Conditions equivalent to stability; 2.4. Independence and forking; 2.5. Totally transcendental theories andMorley rank; 2.6. Prime models; 2.7. Indiscernibles, Morley sequences; 2.8. Stably embedded sets; CHAPTER 3 DEFINITION AND BASIC PROPERTIES OF StC; CHAPTER 4 INVARIANT TYPES AND CHANGE OF BASE; CHAPTER 5 A COMBINATORIAL LEMMA. | |
| 505 | 8 | |a CHAPTER 6 STRONG CODES FOR GERMSPART 2 INDEPENDENCE IN ACVF; CHAPTER 7 SOME BACKGROUND ON ALGEBRAICALLY CLOSED VALUED FIELDS; 7.1. Background on valued?elds; 7.2. Some model theory of valued?elds; 7.3. Basics of ACVF; 7.4. Imaginaries, and the ACVF sorts; 7.5. The sorts internal to the residue?eld; 7.6. Unary sets, 1-torsors, and generic 1-types; 7.7. One-types orthogonal to G; 7.8. Generic bases of lattices; CHAPTER 8 SEQUENTIAL INDEPENDENCE; CHAPTER 9 GROWTH OF THE STABLE PART; CHAPTER 10 TYPES ORTHOGONAL TO G; CHAPTER 11 OPACITY AND PRIME RESOLUTIONS. | |
| 505 | 8 | |a CHAPTER 12 MAXIMALLY COMPLETE FIELDS AND DOMINATIONCHAPTER 13 INVARIANT TYPES; 13.1. Examples of sequential independence; 13.2. Invariant types, dividing and sequential independence; CHAPTER 14 A MAXIMUMMODULUS PRINCIPLE; CHAPTER 15 CANONICAL BASES AND INDEPENDENCE GIVEN BY MODULES; CHAPTER 16 OTHER HENSELIAN FIELDS; REFERENCES; INDEX. | |
| 520 | |a This 2008 book presents research in model theory and its applications to valued fields. | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 177-179) and index. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Model theory. | |
| 650 | 0 | |a Valued fields. | |
| 650 | 0 | |a Domination (Graph theory) | |
| 650 | 6 | |a Théorie des modèles. | |
| 650 | 6 | |a Corps valués. | |
| 650 | 6 | |a Domination (Théorie des graphes) | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Logic. |2 bisacsh | |
| 650 | 7 | |a Domination (Graph theory) |2 fast |0 (OCoLC)fst00896745 | |
| 650 | 7 | |a Model theory. |2 fast |0 (OCoLC)fst01024368 | |
| 650 | 7 | |a Valued fields. |2 fast |0 (OCoLC)fst01163905 | |
| 700 | 1 | |a Hrushovski, Ehud. | |
| 700 | 1 | |a Macpherson, Dugald. | |
| 776 | 0 | 8 | |i Print version: |a Haskell, Deirdre. |t Stable Domination and Independence in Algebraically Closed Valued Fields. |d Cambridge : Cambridge University Press, ©2007 |z 9780521889810 |
| 830 | 0 | |a Lecture Notes in Logic, 30. | |
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