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Tables of Contents for Model Theory
Chapter/Section Title
Page #
Page Count
Introduction
1
6
Structures and Theories
7
26
Languages and Structures
7
7
Theories
14
5
Definable Sets and Interpretability
19
10
Exercises and Remarks
29
4
Basic Techniques
33
38
The Compactness Theorem
33
7
Complete Theories
40
4
Up and Down
44
4
Back and Forth
48
12
Exercises and Remarks
60
11
Algebraic Examples
71
44
Quantifier Elimination
71
13
Algebraically Closed Fields
84
9
Real Closed Fields
93
11
Exercises and Remarks
104
11
Realizing and Omitting Types
115
60
Types
115
10
Omitting Types and Prime Models
125
13
Saturated and Homogeneous Models
138
17
The Number of Countable Models
155
8
Exercises and Remarks
163
12
Indiscernibles
175
32
Partition Theorems
175
3
Order Indiscernibles
178
11
A Many-Models Theorem
189
6
An Independence Result in Arithmetic
195
7
Exercises and Remarks
202
5
ω-Stable Theories
207
44
Uncountably Categorical Theories
207
8
Morley Rank
215
12
Forking and Independence
227
9
Uniqueness of Prime Model Extensions
236
4
Morley Sequences
240
3
Exercises and Remarks
243
8
ω-Stable Groups
251
38
The Descending Chain Condition
251
4
Generic Types
255
6
The Indecomposability Theorem
261
6
Definable Groups in Algebraically Closed Fields
267
12
Finding a Group
279
6
Exercises and Remarks
285
4
Geometry of Strongly Minimal Sets
289
26
Pregeometries
289
4
Canonical Bases and Families of Plane Curves
293
7
Geometry and Algebra
300
9
Exercises and Remarks
309
6
A Set Theory
315
8
B Real Algebra
323
6
References
329
8
Index
337