Algebraic Model Theory

Author:   Bradd T. Hart ,  A. Lachlan ,  Matthew A. Valeriote
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   496
ISBN:  

9789048148844


Pages:   277
Publication Date:   07 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Algebraic Model Theory


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Overview

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. Audience: 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.

Full Product Details

Author:   Bradd T. Hart ,  A. Lachlan ,  Matthew A. Valeriote
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   496
Dimensions:   Width: 16.00cm , Height: 1.50cm , Length: 24.00cm
Weight:   0.456kg
ISBN:  

9789048148844


ISBN 10:   9048148847
Pages:   277
Publication Date:   07 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

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