(Ebook) Saturated model theory 2nd edition by Gerald Enoch Sacks 9812833811 9789812833815

(Ebook) Saturated model theory 2nd edition by Gerald Enoch Sacks 9812833811 9789812833815

Saturated model theory 2nd edition by Gerald Enoch Sacks - Ebook PDF Instant Download/DeliveryISBN:  9812833811, 9789812833815 

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Product details:

ISBN-10 :  9812833811 

ISBN-13 :  9789812833815

Author:  Gerald Enoch Sacks 

This book contains the material for a first course in pure model theory with applications to differentially closed fields. Topics covered in this book include saturated model criteria for model completeness and elimination of quantifiers; Morley rank and degree of element types; categoricity in power; two-cardinal theorems; existence and uniqueness of prime model extensions of substructures of models of totally transcendental theories; and homogeneity of models of ϖ1-categorical theories.

Saturated model theory 2nd table of contents:

1. Ordinals and Diagrams
2. Similarity Types of Structures
3. Monomorphisms and Substructures
4. First Order Languages
5. Elementary Equivalence
6. Elementary Monomorphisms
7. The Fundamental Existence Theorem
8. Model Completeness
9. Model Completeness of Algebraically Closed Fields
10. Direct Systems of Structures
11. Skolemization of Structures
12. Model Completions
13. Substructure Completeness
14. Countability Proviso with Exceptions
15. Element Types
16. Saturated Structures
17. Elimination of Quanti.ers for Real Closed Fields
18. Omitting a Type
19. ω-Stable Theories
20. Homogeneous Structures
21. The Number of Countable Models
22. Vaught’s Two-Cardinal Theorem
23. Chang’s Two-Cardinal Theorem
24. Keisler’s Two-Cardinal Theorem
25. Categories and Functors
26. Inverse Systems of Compact Hausdorff Spaces
27. Towards Morley’s Analysis of l-Types
28. The Cantor–Bendixson Derivative
29. The Morley Derivative
30. Autonomous Subcategories
31. Bounds on the Ranks of 1-Types
32. Prime Model Extensions
33. Prime Extensions of Wellordered Chains
34. Order Indiscernibles
35. Indiscernibles and ω-Stability
36. Shelah’s Uniqueness Theorem
37. Categoricity in Some Uncountable Power
38. Minimal Generators and ω1-Categoricity
39. The Baldwin–Lachlan Theorem
40. Differential Fields of Characteristic 0
41. The Differential Closure
42. Some Other Reading

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Tags: Saturated, model theory, Gerald Enoch Sacks, applications