Algebraic Model Theory

Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric mode...

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Bibliographic Details
Other Authors: Hart, Bradd T. (Editor), Lachlan, A. (Editor), Valeriote, Matthew A. (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1997, 1997
Edition:1st ed. 1997
Series:Nato Science Series C:, Mathematical and Physical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • An introduction to independence and local modularity
  • Groups definable in ACFA
  • Large finite structures with few types
  • A survey of the uncountable spectra of countable theories
  • An introduction to tame congruence theory
  • Stable finitely homogeneous structures: a survey
  • Homogeneous and smoothly approximated structures
  • Khovanskii’s Theorem
  • ACFA and the Manin-Mumford conjecture
  • Decidable equational classes
  • Schanuel’s conjecture and the decidability of the real exponential field
  • Three lectures on the RS problem
  • Decidable modules