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

Fundamentals of Stability Theory

John T. Baldwin

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

Subjects:

03C45 (primary)

Permanent link to this monograph: http://projecteuclid.org/euclid.pl/1235414194
Mathmatical Reviews number (MathSciNet): MR0918762
ISBN:3-540-15298-9
ISBN:0-387-15298-9

Miscellaneous Frontmatter

Acknowledgements

ix-x

Table of Contents

xi-xiii

Chapter I: Groundwork

1-31

Part A: Independence

Chapter II: The Abstract Notion of Independence

35-52

Chapter III: Forking

53-98

Chapter IV: Finite Equivalence Relations, Definability, and Strong Types

99-117

Chapter V: Indiscernibles In Stable Theories

118-137

Chapter VI: Orthogonality

138-155

Chapter VII: Rank

156-169

Chapter VIII: Normalization and $\emph{T}^{eq}$

170-184

Part B: Dependence and Prime Models

Chapter IX: Atomic and Prime Models

187-216

Chapter X: Freeness and Isolation

217-232

Part C: Local Dimension Theory

Chapter XI: Acceptable Classes

235-240

Chapter XII: Regular Types

241-261

Chapter XIII: Decomposition Theorems and Weight

262-279

Part D: The Number of Models

Chapter XIV: The Construction of Many Nonisomorphic Models

283-291

Chapter XV: The Width of a Theory

292-315

Chapter XVI: The Dimensional Order Property

316-340

Chapter XVII: NDOP: Theories Without the Dimensional Order Property

341-364

Chapter XVIII: Vaught and Morley Conjectures for $\omega$-Stable Countable Theories

365-398

Bibliography

399-435

Subject Index

437-442

Symbol Index

443-447

Miscellaneous Backmatter

Perspectives in Logic

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