An Introduction to Stability Theory (Paperback)

Anand Pillay

ISBN 10: 0486468968 / ISBN 13: 9780486468969

Published by Dover Publications Inc., New York, 2009

About this Item

Paperback. This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of stability and order follows, along with definitions of forking that follow the approach of Lascar and Poizat, plus a consideration of forking and the definability of types. Subsequent chapters examine superstability, dividing and ranks, the relation between types and sets of indiscernibles, and further properties of stable theories. The text concludes with proofs of the theorems of Morley and Baldwin-Lachlan and an extension of dimension theory that incorporates orthogonality of types in addition to regular types. This introductory treatment covers the basic concepts and machinery of stability theory. Full of examples, theorems, propositions, and problems, it is suitable for graduate students, professional mathematicians, and computer scientists. 1983 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780486468969

Bibliographic Details

• Title: An Introduction to Stability Theory (Paperback)
• Publisher: Dover Publications Inc., New York
• Publication Date: 2009
• Language: English
• ISBN 10: 0486468968
• ISBN 13: 9780486468969
• Binding: Paperback
• Condition: new

About this title

Synopsis

This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of stability and order follows, along with definitions of forking that follow the approach of Lascar and Poizat, plus a consideration of forking and the definability of types. Subsequent chapters examine superstability, dividing and ranks, the relation between types and sets of indiscernibles, and further properties of stable theories. The text concludes with proofs of the theorems of Morley and Baldwin-Lachlan and an extension of dimension theory that incorporates orthogonality of types in addition to regular types.

About the Author

Anand Pillay is a Professor in the School of Mathematics at the University of Leeds and Swanlund Chair Emeritus in the Mathematics Department at the University of Illinois.