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Algebraic Model Theory : NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES - Bradd T. Hart

Algebraic Model Theory

NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES

By: Bradd T. Hart (Editor)

Hardcover

Published: 30th June 1997
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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.

Preface
Participants
Contributors
An introduction to independence and local modularityp. 1
Groups definable in ACFAp. 25
Large finite structures with few typesp. 53
A survey of the uncountable spectra of countable theoriesp. 107
An introduction to tame congruence theoryp. 119
Stable finitely homogeneous structures: a surveyp. 145
Homogeneous and smoothly approximated structuresp. 161
Khovanskii's Theoremp. 181
ACFA and the Manin-Mumford conjecturep. 195
Decidable equational classesp. 207
Schanuel's conjecture and the decidability of the real exponential fieldp. 223
Three lectures on the RS problemp. 231
Decidable modulesp. 255
Indexp. 275
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792346661
ISBN-10: 0792346661
Series: NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 277
Published: 30th June 1997
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.77 x 17.15  x 2.54
Weight (kg): 0.57