Saturated Model Theory (2nd Edition)

Gerald E Sacks (Autor)

Buch | Hardcover

220 Seiten

2009 | 2nd Revised edition
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-283-381-5 (ISBN)

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Contains the material for a first course in pure model theory with applications to differentially closed fields. This book covers topics such as saturated model criteria for model completeness and elimination of quantifiers; Morley rank and degree of element types; categoricity in power; and homogeneity of models of categorical theories.

This book contains the material for a first course in pure model theory with applications to differentially closed fields. Topics covered in this book include saturated model criteria for model completeness and elimination of quantifiers; Morley rank and degree of element types; categoricity in power; two-cardinal theorems; existence and uniqueness of prime model extensions of substructures of models of totally transcendental theories; and homogeneity of models of ϖ1-categorical theories.

Ordinals and Diagrams; Similarity Types of Structures; Elementary Equivalence; Model Completeness; Skolemization of Structures; Saturated Structures; Omitting a Type; Homogeneous Structures; Inverse Systems of Compact Hausdorff Spaces; The Morley Derivative; Prime Model Extensions; Order Indiscernibles; The Baldwin-Lachlan Theorem; and other sections.

Erscheint lt. Verlag	2.10.2009
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	981-283-381-1 / 9812833811
ISBN-13	978-981-283-381-5 / 9789812833815
Zustand	Neuware