An Introduction to Stability Theory

Nonfiction, Science & Nature, Mathematics, Logic
Cover of the book An Introduction to Stability Theory by Anand Pillay, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Anand Pillay ISBN: 9780486150437
Publisher: Dover Publications Publication: May 17, 2013
Imprint: Dover Publications Language: English
Author: Anand Pillay
ISBN: 9780486150437
Publisher: Dover Publications
Publication: May 17, 2013
Imprint: Dover Publications
Language: English
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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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.

More books from Dover Publications

Cover of the book Lost Continents by Anand Pillay
Cover of the book Favorite Greek Myths by Anand Pillay
Cover of the book Blake's Water-Colours for the Poems of Thomas Gray by Anand Pillay
Cover of the book Vector Geometry by Anand Pillay
Cover of the book Light, Shade and Shadow by Anand Pillay
Cover of the book Heimskringla by Anand Pillay
Cover of the book Art Nouveau Stained Glass Pattern Book by Anand Pillay
Cover of the book Introduction to Logic by Anand Pillay
Cover of the book South Wind by Anand Pillay
Cover of the book The Mikado by Anand Pillay
Cover of the book Pygmalion by Anand Pillay
Cover of the book The Mark of Zorro by Anand Pillay
Cover of the book White Fang by Anand Pillay
Cover of the book The Vagabond by Anand Pillay
Cover of the book The Adventures of Chatterer the Red Squirrel by Anand Pillay
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy