Fundamentals of stability theory /

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the twelfth publication in the Perspec...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Baldwin, John T. (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Cambridge : Cambridge University Press, 2016.
Collection:Perspectives in logic.
Sujets:
Model theory.
Stability.
Théorie des modèles.
Stabilité.
stability.
MATHEMATICS > General.
Model theory
Stability
Accès en ligne:Texto completo
Table des matières:
  • Groundwork
  • The abstract notion of independence
  • Forking
  • Finite equivalence relations, definability, and strong types
  • Indiscernibles in stable theories
  • Orthogonality
  • Rank
  • Normalization and Teq
  • Atomic and prime models
  • Freeness and isolation
  • Acceptable classes
  • Regular types
  • Decomposition theorems and weight
  • The construction of many nonisomorphic models
  • The width of a theory
  • The dimensional order property
  • NDOP: theories without the dimensional order property
  • Vaught and Morley conjectures for w-stable countable theories.

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