A Course in Model Theory. - An Introduction to Contemporary Mathematical Logic (Relié)

  • Springer

  • Paru le : 11/07/2000
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This book, translated from the French, is an introduction to first-order model theory. The first six chapters are very basic: starting from scratch, they... > Lire la suite
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This book, translated from the French, is an introduction to first-order model theory. The first six chapters are very basic: starting from scratch, they quickly reach the essential, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. The next chapter introduces logic via the study of the models of arithmetic, and the following chapter is a combinatorial toolbox preparing for the chapters on saturated and prime models. The last ten chapters form a rather complete, but nevertheless accessible, exposition of stability theory, which is the core of the subject.
    • Elementary classes of relations
    • The language associated with a relation
    • Extensions of the language: structures
    • Compactness
    • The back-and-forth method in w-saturated models
    • Examples illustrating the back-and-forth method
    • Arithmetic
    • Ordinals and cardinals
    • Saturated models
    • Prime models
    • Heirs
    • Special sons, morley sequences
    • The fundamental order
    • Stability and saturated models
    • Forking
    • Strong types
    • Notions of rank
    • Stability and prime models
    • Stability, indiscernible sequences and weights
    • Dimension in models of a totally transcendental theory
  • Date de parution : 11/07/2000
  • Editeur : Springer
  • Collection : universitext
  • ISBN : 0-387-98655-3
  • EAN : 9780387986555
  • Présentation : Relié
  • Nb. de pages : 443 pages
  • Poids : 0.81 Kg
  • Dimensions : 16,0 cm × 24,0 cm × 2,8 cm

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