An Introduction to Stability Theory - Brossura

Pillay, Anand

Brossura

ISBN 10: 0486468968 ISBN 13: 9780486468969

Casa editrice: Dover Pubns, 2008

Riassunto

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.

Su questo libro

Product 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. 1983 edition.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0486468968
• ISBN 13: 9780486468969
• Rilegatura: Copertina flessibile
• Numero di pagine: 146
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia