Erweiterte
Suche ›

Simple Theories

Buch
93,08 € Lieferbar in 5-7 Tagen
Dieses Produkt ist auch verfügbar als:

Kurzbeschreibung

Simplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields, and fields with a generic automorphism. Following Kim's proof of `forking symmetry' which implies a good behaviour of model-theoretic independence, this area of model theory has been a field of intense study. It has necessitated the development of some important new tools, most notably the model-theoretic treatment of hyperimaginaries (classes modulo type-definable equivalence relations). It thus provides a general notion of independence (and of rank in the supersimple case) applicable to a wide class of algebraic structures. The basic theory of forking independence is developed, and its properties in a simple structure are analyzed. No prior knowledge of stability theory is assumed; in fact many stability-theoretic results follow either from more general propositions, or are developed in side remarks. Audience: This book is intended both as an introduction to simplicity theory accessible to graduate students with some knowledge of model theory, and as a reference work for research in the field.

Details
Schlagworte

Titel: Simple Theories
Autoren/Herausgeber: Frank Olaf Wagner
Aus der Reihe: Mathematics and Its Applications
Ausgabe: 2000

ISBN/EAN: 9780792362210

Seitenzahl: 260
Format: 23,5 x 15,5 cm
Produktform: Hardcover/Gebunden
Gewicht: 1,250 g
Sprache: Englisch

buchhandel.de - Newsletter
Möchten Sie sich für den Newsletter anmelden?


Bitte geben Sie eine gültige E-Mail-Adresse ein.
Lieber nicht