ENGLISH

An Introduction to Stability Theory

By Anand Pillay

Book information

Publisher
Oxford University Press, USA
Year
1983
ISBN
0198531869, 9780198531869
Language
english
Format
PDF
Filesize
3 MB (2661186 bytes)
Series
Oxford Logic Guides
Edition
First Edition
Pages
C, xiv+146, B\164
Topic
Mathematics Logic
DPI
600
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2014-03-19 20:27:19

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.

Similar books