An Introduction to Stability Theory (Dover Books on Mathematics) by Anand Pillay (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is quite a good book for any model theorist. It is not too long and very well-written. Clear introduction to the idea of stability. In fact I had already worked with the hard copy and I am now very happy to have it in kindle format so I can carry it with me to all conferences.

⭐Excellent

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