Perspectives in Logic

Fundamentals of Stability Theory

John T. Baldwin

Book information

Author
John T. Baldwin

Publication information
Perspectives in Mathematical Logic, Volume 12
Berlin: Springer-Verlag, 1988
447 pp.

Dates
Publication date: 1988
First available in Project Euclid: 23 February 2009

Permanent link to this book
https://projecteuclid.org/euclid.pl/1235414194

ISBN:
3-540-15298-9
0-387-15298-9

Mathematical Reviews (MathSciNet):
MR0918762

Subjects
Primary: 03C45: Classification theory, stability and related concepts [See also 03C48]

Rights
Copyright © 1988, Association for Symbolic Logic

Citation
John T. Baldwin, Fundamentals of Stability Theory (Berlin: Springer-Verlag, 1988)

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Miscellaneous Frontmatter
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Acknowledgementsix - x
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Table of Contentsxi - xiii
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Chapter I: Groundwork1 - 31
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Part A: Independence

Chapter II: The Abstract Notion of Independence35 - 52
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Chapter III: Forking53 - 98
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Chapter IV: Finite Equivalence Relations, Definability, and Strong Types99 - 117
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Chapter V: Indiscernibles In Stable Theories118 - 137
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Chapter VI: Orthogonality138 - 155
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Chapter VII: Rank156 - 169
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Chapter VIII: Normalization and $T^{eq}$170 - 184
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Part B: Dependence and Prime Models

Chapter IX: Atomic and Prime Models187 - 216
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Chapter X: Freeness and Isolation217 - 232
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Part C: Local Dimension Theory

Chapter XI: Acceptable Classes235 - 240
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Chapter XII: Regular Types241 - 261
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Chapter XIII: Decomposition Theorems and Weight262 - 279
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Part D: The Number of Models

Chapter XIV: The Construction of Many Nonisomorphic Models283 - 291
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Chapter XV: The Width of a Theory292 - 315
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Chapter XVI: The Dimensional Order Property316 - 340
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Chapter XVII: NDOP: Theories Without the Dimensional Order Property341 - 364
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Chapter XVIII: Vaught and Morley Conjectures for $\omega$-Stable Countable Theories365 - 398
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Bibliography399 - 435
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Subject Index437 - 442
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Symbol Index443 - 447
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Miscellaneous Backmatter
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Perspectives in Logic
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