| Description |
1 online resource (196 pages) |
| Series |
Lecture Notes in Logic, 30 ; v. 30 |
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Lecture Notes in Logic, 30
|
| Contents |
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 |
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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 |
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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 |
| Summary |
This 2008 book presents research in model theory and its applications to valued fields |
| Bibliography |
Includes bibliographical references (pages 177-179) and index |
| Notes |
Print version record |
| Subject |
Model theory.
|
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Valued fields.
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Domination (Graph theory)
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MATHEMATICS -- Infinity.
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MATHEMATICS -- Logic.
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Domination (Graph theory)
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Model theory
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Valued fields
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| Form |
Electronic book
|
| Author |
Hrushovski, Ehud
|
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Macpherson, Dugald.
|
| ISBN |
9780511546471 |
|
0511546475 |
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9780511371042 |
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0511371047 |
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0521889812 |
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9780521889810 |
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9786611156237 |
|
6611156232 |
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9780521335157 |
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0521335159 |
|
