Algebraic Model Theory

1. Auflage. Softcover version of original hardcover Auflage 1997
ISBN: 978-90-481-4884-4
Verlag: Springer Netherlands

Buch, Englisch, Band 496, 277 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 452 g

Reihe: Nato Science Series C:

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 model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras.
Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented.

Zielgruppe

Research

Autoren/Hrsg.

Hart, Bradd T.

Valeriote, Matthew A.

Lachlan, A.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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.