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Simple Theories - Frank Olaf Wagner
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ISBN: 9789048154173

ID: 978904815417

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. Frank Olaf Wagner, Books, Science and Nature, Simple Theories Books>Science and Nature, Springer Netherlands

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Simple Theories (Mathematics and Its Applications) - Frank O. Wagner
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Taschenbuch, [EAN: 9789048154173], Springer Netherlands, Springer Netherlands, Book, [PU: Springer Netherlands], Springer Netherlands, 56251011, Differentialgleichung, 56248011, Angewandte Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56231011, Algebra, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56242011, Gruppentheorie, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56243011, Logik, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56535011, Medizin, 56547011, Alternativ & Ganzheitlich, 56636011, Arzt & Patient, 56601011, Bildung & Schulungen, 56767011, Fachberufe im Gesundheitswesen, 56698011, Fachgebiete, 56659011, Forschung, 56651011, Fortpflanzung & Sexualität, 56778011, Geburtshilfe, 56558011, Grundlagen, 56740011, Innere Medizin, 56604011, Krankenpflege, 56589011, Krankheiten, 56645011, Nachschlagewerke, 56687011, Pharmakologie, 56692011, Sonderthemen, 56536011, Verwaltung & Richtlinien, 56661011, Veterinärmedizin, 56570011, Zahnmedizin, 54071011, Genres, 52044011, Fremdsprachige Bücher

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Simple Theories - Frank O. Wagner
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Simple Theories - nieuw boek

ISBN: 9789048154173

ID: 978904815417

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. Frank O. Wagner, Books, Simple Theories Books, Springer-Verlag/Sci-Tech/Trade

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Simple Theories - Wagner, Frank O.
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ISBN: 9789048154173

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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. Simple Theories Wagner, Frank O., Springer

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Simple Theories - Frank O. Wagner
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ISBN: 9789048154173

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Mathematics; Mathematical Logic and Foundations; Group Theory and Generalizations; Commutative Rings and Algebras Algebraic structure, Equivalence, algebra, model theory, proof Books, Springer Nature

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Bijzonderheden over het boek
Simple Theories
auteur:

Frank O. Wagner

Titel:
ISBN:

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.

Gedetalleerde informatie over het boek. - Simple Theories


EAN (ISBN-13): 9789048154173
ISBN (ISBN-10): 9048154170
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
272 Bladzijden
Gewicht: 0,415 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 07.11.2012 05:15:14
Boek voor het laatst gevonden op 30.07.2018 14:31:22
ISBN/EAN: 9789048154173

ISBN - alternatieve schrijfwijzen:
90-481-5417-0, 978-90-481-5417-3


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