Geometric Stability Theory

Zusatztext Pillay's book...is definately not a textbook! and is aimed at the advanced graduate student and the researcher in the field....................it is a marvellous book which contains almost all the deep results and difficult machinery in the subject................Pillay's book should be on the table of anybody doing research in the fiels Klappentext This book gives an account of the fundamental results in geometric stability theory, a subject that has grown out of categoricity and classification theory. This approach studies the fine structure of models of stable theories, using the geometry of forking; this often achieves global results relevant to classification theory. Topics range from Zilber-Cherlin classification of infinite locally finite homogenous geometries, to regular types, their geometries, and their role in superstable theories. The structure and existence of definable groups is featured prominently, as is work by Hrushovski. The book is unique in the range and depth of material covered and will be invaluable to anyone interested in modern model theory. Zusammenfassung An up-to-date, systematic account of the fundamental results of the central areas of model theory (a branch of mathematical logic). The fine structure of models of stable theories is the object of the study, and there are applications to classification theory (such as classifying models of undimensional theories). Inhaltsverzeichnis Introduction 1: Stability theory 2: The classical finite rank theory 3: Quasi finite axiomatizability 4: 1-based theories and groups 5: Groups and geometries 6: Unidimensional theories 7: Regular types 8: Superstable theories Notes on Chapters References Index

Dettagli sul prodotto

• Autori: Anand Pillay, Anand ( Pillay, Anand (University of Illinois) Pillay, Pillay Anand
• Editore: Oxford University Press
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 12.09.1996
• EAN: 9780198534372
• ISBN: 978-0-19-853437-2
• Pagine: 372
• Serie: Oxford Logic Guides; Oxford Logic Guides
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Fondamenti; Scienze umane, arte, musica > Scienze linguistiche e letterarie > Linguistica generale e comparata; MATHEMATICS / Group Theory, MATHEMATICS / Logic, MATHEMATICS / Geometry / Differential, MATHEMATICS / Topology, Topology, Groups & group theory, Mathematical logic, Differential & Riemannian geometry, Differential and Riemannian geometry, Groups and group theory