Stable domination and independence in algebraically closed valued fields:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2008
|
| Edition: | 1. publ. |
| Series: | Lecture notes in logic
30 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 182 S. |
| ISBN: | 9780521889810 |
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| adam_text | STABLE DOMINATION AND INDEPENDENCE IN ALGEBRAICALLY CLOSED VALUED FIELDS
DEIRDRE HASKELL MCMASTER UNIVERSITY EHUD HRUSHOVSKI HEBREW UNIVERSITY
DUGALD MACPHERSON UNIVERSITY OF LEEDS ASSOCIATION FOR SYMBOLIC LOGIC
CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE IX CHAPTER 1. INTRODUCTION 1
PART 1. STABLE DOMINATION CHAPTER 2. SOME BACKGROUND ON STABILITY THEORY
13 2.1. SATURATION, THE UNIVERSAL DOMAIN, IMAGINARIES 15 2.2. INVARIANT
TYPES 17 2.3. CONDITIONS EQUIVALENT TO STABILITY 18 2.4. INDEPENDENCE
AND FORKING 20 2.5. TOTALLY TRANSCENDENTAL THEORIES AND MORLEY RANK 23
2.6. PRIME MODELS 23 2.7. INDISCERNIBLES, MORLEY SEQUENCES 24 2.8.
STABLY EMBEDDED SETS 25 CHAPTER 3. DEFINITION AND BASIC PROPERTIES OF
STC 27 CHAPTER 4. INVARIANT TYPES AND CHANGE OF BASE 41 CHAPTER 5. A
COMBINATORIAL LEMMA 53 CHAPTER 6. STRONG CODES FOR GERMS 59 PART 2.
INDEPENDENCE IN ACVF CHAPTER 7. SOME BACKGROUND ON ALGEBRAICALLY CLOSED
VALUED FIELDS 69 7.1. BACKGROUND ON VALUED FIELDS 69 7.2. SOME MODEL
THEORY OF VALUED FIELDS 71 7.3. BASICS OF ACVF 72 7.4. IMAGINARIES, AND
THE ACVF SORTS 73 7.5. THE SORTS INTERNAL TO THE RESIDUE FIELD 77 7.6.
UNARY SETS, 1-TORSORS, AND GENERIC 1-TYPES 78 VIII CONTENTS 7.7.
ONE-TYPES ORTHOGONAL TO F 83 7.8. GENERIC BASES OF LATTICES 85 CHAPTER
8. SEQUENTIAL INDEPENDENCE 87 CHAPTER 9. GROWTH OF THE STABLE PART 99
CHAPTER 10. TYPES ORTHOGONAL TO F 103 CHAPTER 11. OPACITY AND PRIME
RESOLUTIONS 115 CHAPTER 12. MAXIMALLY COMPLETE FIELDS AND DOMINATION 123
CHAPTER 13. INVARIANT TYPES 137 13.1. EXAMPLES OF SEQUENTIAL
INDEPENDENCE 137 13.2. INVARIANT TYPES, DIVIDING AND SEQUENTIAL
INDEPENDENCE 143 CHAPTER 14. A MAXIMUM MODULUS PRINCIPLE 151 CHAPTER 15.
CANONICAL BASES AND INDEPENDENCE GIVEN BY MODULES 161 CHAPTER 16. OTHER
HENSELIAN FIELDS 171 REFERENCES 177 INDEX 181
|
| adam_txt |
STABLE DOMINATION AND INDEPENDENCE IN ALGEBRAICALLY CLOSED VALUED FIELDS
DEIRDRE HASKELL MCMASTER UNIVERSITY EHUD HRUSHOVSKI HEBREW UNIVERSITY
DUGALD MACPHERSON UNIVERSITY OF LEEDS ASSOCIATION FOR SYMBOLIC LOGIC
CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE IX CHAPTER 1. INTRODUCTION 1
PART 1. STABLE DOMINATION CHAPTER 2. SOME BACKGROUND ON STABILITY THEORY
13 2.1. SATURATION, THE UNIVERSAL DOMAIN, IMAGINARIES 15 2.2. INVARIANT
TYPES 17 2.3. CONDITIONS EQUIVALENT TO STABILITY 18 2.4. INDEPENDENCE
AND FORKING 20 2.5. TOTALLY TRANSCENDENTAL THEORIES AND MORLEY RANK 23
2.6. PRIME MODELS 23 2.7. INDISCERNIBLES, MORLEY SEQUENCES 24 2.8.
STABLY EMBEDDED SETS 25 CHAPTER 3. DEFINITION AND BASIC PROPERTIES OF
STC 27 CHAPTER 4. INVARIANT TYPES AND CHANGE OF BASE 41 CHAPTER 5. A
COMBINATORIAL LEMMA 53 CHAPTER 6. STRONG CODES FOR GERMS 59 PART 2.
INDEPENDENCE IN ACVF CHAPTER 7. SOME BACKGROUND ON ALGEBRAICALLY CLOSED
VALUED FIELDS 69 7.1. BACKGROUND ON VALUED FIELDS 69 7.2. SOME MODEL
THEORY OF VALUED FIELDS 71 7.3. BASICS OF ACVF 72 7.4.' IMAGINARIES, AND
THE ACVF SORTS 73 7.5. THE SORTS INTERNAL TO THE RESIDUE FIELD 77 7.6.
UNARY SETS, 1-TORSORS, AND GENERIC 1-TYPES 78 VIII CONTENTS 7.7.
ONE-TYPES ORTHOGONAL TO F 83 7.8. GENERIC BASES OF LATTICES 85 CHAPTER
8. SEQUENTIAL INDEPENDENCE 87 CHAPTER 9. GROWTH OF THE STABLE PART 99
CHAPTER 10. TYPES ORTHOGONAL TO F 103 CHAPTER 11. OPACITY AND PRIME
RESOLUTIONS 115 CHAPTER 12. MAXIMALLY COMPLETE FIELDS AND DOMINATION 123
CHAPTER 13. INVARIANT TYPES 137 13.1. EXAMPLES OF SEQUENTIAL
INDEPENDENCE 137 13.2. INVARIANT TYPES, DIVIDING AND SEQUENTIAL
INDEPENDENCE 143 CHAPTER 14. A MAXIMUM MODULUS PRINCIPLE 151 CHAPTER 15.
CANONICAL BASES AND INDEPENDENCE GIVEN BY MODULES 161 CHAPTER 16. OTHER
HENSELIAN FIELDS 171 REFERENCES 177 INDEX 181 |
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| author | Haskell, Deirdre Hrushovski, Ehud MacPherson, Dugald |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. publ. |
| format | Book |
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| isbn | 9780521889810 |
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| physical | XI, 182 S. |
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| series | Lecture notes in logic |
| series2 | Lecture notes in logic |
| spelling | Haskell, Deirdre Verfasser aut Stable domination and independence in algebraically closed valued fields Deirdre Haskell ; Ehud Hrushovski ; Dugald MacPherson 1. publ. Berlin [u.a.] Springer 2008 XI, 182 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in logic 30 Hrushovski, Ehud Verfasser aut MacPherson, Dugald Verfasser aut Lecture notes in logic 30 (DE-604)BV008909514 30 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016777335&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Haskell, Deirdre Hrushovski, Ehud MacPherson, Dugald Stable domination and independence in algebraically closed valued fields Lecture notes in logic |
| title | Stable domination and independence in algebraically closed valued fields |
| title_auth | Stable domination and independence in algebraically closed valued fields |
| title_exact_search | Stable domination and independence in algebraically closed valued fields |
| title_exact_search_txtP | Stable domination and independence in algebraically closed valued fields |
| title_full | Stable domination and independence in algebraically closed valued fields Deirdre Haskell ; Ehud Hrushovski ; Dugald MacPherson |
| title_fullStr | Stable domination and independence in algebraically closed valued fields Deirdre Haskell ; Ehud Hrushovski ; Dugald MacPherson |
| title_full_unstemmed | Stable domination and independence in algebraically closed valued fields Deirdre Haskell ; Ehud Hrushovski ; Dugald MacPherson |
| title_short | Stable domination and independence in algebraically closed valued fields |
| title_sort | stable domination and independence in algebraically closed valued fields |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016777335&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008909514 |
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