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An Introduction to Stability Theory

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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. 
Request Code : ZLIBIO1159128
Categories:
Year:
1983
Edition:
First Edition
Publisher:
Oxford University Press, USA
Language:
English
Pages:
164
ISBN 10:
0198531869
ISBN 13:
9780198531869
ISBN:
0198531869,9780198531869
Series:
Oxford Logic Guides

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