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Simplicity theory /

This title is about simple first-order theories. In the mid-1990s the author established in his thesis the symmetry and transitivity of non-forking for simple theories and, type-amalgamation for Lascar strong types. Since then a great deal of research work on simplicity theory, the study of simple t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kim, Byunghan
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : Oxford University Press, 2014.
Edición:First edition.
Colección:Oxford logic guides ; 53.
Temas:
Acceso en línea:Texto completo

MARC

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490 1 |a Oxford logic guides ;  |v 53 
504 |a Includes bibliographical references and index. 
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520 8 |a This title is about simple first-order theories. In the mid-1990s the author established in his thesis the symmetry and transitivity of non-forking for simple theories and, type-amalgamation for Lascar strong types. Since then a great deal of research work on simplicity theory, the study of simple theories and structures has been produced. This book starts with the introduction of the fundamental notions of dividing and forking, and covers up to the hyperdefinable group configuration theorem for simple theories. 
505 8 |a 4.2 Non-forking Independence of Hyperimaginaries4.3 Canonical Bases; 4.4 Forking Relationships between Types; 4.5 Bibliographical Remarks; 5 Elimination of Hyperimaginaries; 5.1 The Lascar Group; 5.2 Lascar Types Are Strong Types in Low Theories; 5.3 Elimination of Finitary Hyperimaginaries for Small Theories; 5.4 Elimination of Hyperimaginaries for Supersimple Theories; 5.5 Definability; 5.6 Bibliographical Remarks; 6 Constructing Simple Structures; 6.1 Modularity and CM-Triviality; 6.2 Hrushovski Construction; 6.3 Generic Predicates/Automorphisms and Lovely Pairs 
505 8 |a 9.4 An Application to 1-Based Theories9.5 Recovering the Hyperdefinable Group Action; 9.6 Bibliographical Remarks; References; Index; A; B; C; D; E; F; G; H; I; L; M; O; P; R; S; T; W; Z 
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