Essential Stability Theory
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Essential Stability Theory

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Description

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Stability theory was introduced and matured in the 1960s and 1970s. Today stability theory influences and is influenced by number theory, algebraic group theory, Riemann surfaces, and representation theory of modules. There is little model theory today that does not involve the methods of stability theory. In this volume, the fourth publication in the Perspectives in Logic series, Steven Buechler bridges the gap between a first-year graduate logic course and research papers in stability theory. The book prepares the student for research in any of today's branches of stability theory, and gives an introduction to classification theory with an exposition of Morley's Categoricity Theorem.
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Product details

  • Hardback | 367 pages
  • 163 x 240 x 28mm | 740g
  • Cambridge, United Kingdom
  • English
  • 1107168392
  • 9781107168398

Back cover copy

This book provides the student with a quick route from basic model theory to research in stability theory. Besides preparing a student for research in any of today's branches of stability theory, it also gives an introduction to classification theory with an exposition of Morley's Categoricity Theorem. The concepts and techniques of geometrial stability theory are developed through a fine structure analysis of uncountably categorical theories. The basic tools of stability theory are developed in full generality around the focal point of the dimension theory on regular types.
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Table of contents

Preface; 1. The basics; 2. Constructing models with special properties; 3. Uncountably categorical and No-stable theories; 4. Fine structure of uncountably categorical theories; 5. Stability; 6. Superstable theories; 7. Selected topics.
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Review quote

'... worthy of high praise as a first class textbook in stability theory ... the book is written in a very reader-friendly way. The text is filled with sentences that make the reader feel like the author is speaking rather than writing.' Michael C. Laskowski, Journal of Symbolic Logic
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About Steven Buechler

Steven Buechler works in the Department of Mathematics at the University of Notre Dame, Indiana.
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