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ISBN: 9789048154173

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...

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ISBN: 9789048154173

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...

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ISBN: 9789048154173

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...

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Wagner, Frank O.:
Simple Theories - pocketboek

2010, ISBN: 9789048154173

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Erscheinungsdatum: 15.12.2010, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Simple Theories, Auflage: Softcover reprint of hardcover 1st ed. 2000, Autor: Wagner, Frank O.… Meer...

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Wagner, Frank O.:
Simple Theories - pocketboek

2010, ISBN: 9048154170

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Softcover reprint of hardcover 1st ed. 2000 Kartoniert / Broschiert Mathematische Grundlagen, Algebra, Gruppen und Gruppentheorie, Algebraic structure; Equivalence; algebra; model theor… Meer...

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Simple Theories Frank O. Wagner Author

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 Frank O. Wagner Author


EAN (ISBN-13): 9789048154173
ISBN (ISBN-10): 9048154170
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer Netherlands Core >1
272 Bladzijden
Gewicht: 0,415 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2012-11-07T05:15:14+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2020-05-01T22:16:28+02:00 (Amsterdam)
ISBN/EAN: 9789048154173

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


Gegevens van de uitgever

Auteur: Frank O. Wagner
Titel: Mathematics and Its Applications; Simple Theories
Uitgeverij: Springer; Springer Netherland
260 Bladzijden
Verschijningsjaar: 2010-12-15
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,427 kg
Taal: Engels
93,08 € (DE)
95,69 € (AT)
116,11 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Grundlagen; Mathematische Grundlagen; Verstehen; Algebraic structure; Equivalence; algebra; model theory; proof; C; Mathematical Logic and Foundations; Group Theory and Generalizations; Commutative Rings and Algebras; Mathematical Logic and Foundations; Group Theory and Generalizations; Commutative Rings and Algebras; Mathematics and Statistics; Mathematik: Logik; Gruppen und Gruppentheorie; Algebra; BB

Preface. Acknowledgements. 1. Preliminaries. 2. Simplicity. 3. Hyperimaginaries. 4. Groups. 5. Supersimple Theories. 6. Miscellaneous. Bibliography. Index.

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9789401730020 Simple Theories (Frank O. Wagner)


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