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Algebraic Model Theory

  • Book
  • © 1997

Overview

Editors:
  1. Bradd T. Hart

    1. Department of Mathematics, McMaster University, Hamilton, Canada

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  2. Alistair H. Lachlan

    1. Department of Mathematics, Simon Fraser University, Burnaby, Canada

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  3. Matthew A. Valeriote

    1. Department of Mathematics, McMaster University, Hamilton, Canada

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Part of the book series: Nato Science Series C: (ASIC, volume 496)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xvii
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  2. An Introduction to Independence and Local Modularity

    • Elisabeth Bouscaren
    Pages 1-24

  3. Groups Definable in ACFA

    • Zoé Chatzidakis
    Pages 25-52

  4. Large Finite Structures with Few Types

    • Gregory Cherlin
    Pages 53-105

  5. A Survey of the Uncountable Spectra of Countable Theories

    • Bradd Hart, Michael C. Laskowski
    Pages 107-118

  6. An Introduction to Tame Congruence Theory

    • Emil W. Kiss
    Pages 119-143

  7. Stable Finitely Homogeneous Structures: A Survey

    • Alistair H. Lachlan
    Pages 145-159

  8. Homogeneous and Smoothly Approximated Structures

    • Dugald Macpherson
    Pages 161-179

  9. Khovanskii’s Theorem

    • David Marker
    Pages 181-193

  10. ACFA and the Manin-Mumford Conjecture

    • Anand Pillay
    Pages 195-205

  11. Decidable Equational Classes

    • Matthew A. Valeriote
    Pages 207-221

  12. Schanuel’s Conjecture and the Decidability of the Real Exponential Field

    • A. J. Wilkie
    Pages 223-230

  13. Three Lectures on the RS Problem

    • Ross Willard
    Pages 231-254

  14. Decidable Modules

    • Martin Ziegler
    Pages 255-274

  15. Back Matter

    Pages 275-277
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, McMaster University, Hamilton, Canada

    Bradd T. Hart, Matthew A. Valeriote

  • Department of Mathematics, Simon Fraser University, Burnaby, Canada

    Alistair H. Lachlan

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