2000, ISBN: 0792362217

[EAN: 9780792362210], Neubuch, [SC: 0.0], [PU: Springer Netherlands], ALGEBRAICSTRUCTURE; EQUIVALENCE; ALGEBRA; MODELTHEORY; PROOF, Druck auf Anfrage Neuware - Printed after ordering - Si… Meer...

[EAN: 9780792362210], Neubuch, [SC: 0.0], [PU: Springer Netherlands], ALGEBRAICSTRUCTURE; EQUIVALENCE; ALGEBRA; MODELTHEORY; PROOF, Druck auf Anfrage Neuware - Printed after ordering - 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. 276 pp. Englisch, Books<

ISBN: 9780792362210

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 automorph… Meer...

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. New Textbooks>Hardcover>Science>Mathematics>Mathematics, Springer Netherlands Core >2 >T<

2000, ISBN: 9780792362210

Springer, Gebundene Ausgabe, Auflage: 2000, 273 Seiten, Publiziert: 2000-02-29T00:00:01Z, Produktgruppe: Buch, 2.76 kg, Medizin, Kategorien, Bücher, Algebra & Zahlentheorie, Naturwissensc… Meer...

Springer, Gebundene Ausgabe, Auflage: 2000, 273 Seiten, Publiziert: 2000-02-29T00:00:01Z, Produktgruppe: Buch, 2.76 kg, Medizin, Kategorien, Bücher, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Fachbücher, Naturwissenschaften & Technik, Englische Bücher, Springer, 2000<

2000, ISBN: 0792362217

2000 Gebundene Ausgabe Mathematische Grundlagen, Algebra, Gruppen und Gruppentheorie, Algebraicstructure; Equivalence; Algebra; Modeltheory; proof, mit Schutzumschlag 11, [PU:Springer N… Meer...

2000 Gebundene Ausgabe Mathematische Grundlagen, Algebra, Gruppen und Gruppentheorie, Algebraicstructure; Equivalence; Algebra; Modeltheory; proof, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]<