Saturated Model Theory (2nd Edition)
2nd Edition
Published on 2. October 2009
Book
Hardback
220 pages
978-981-283-381-5 (ISBN)
Description
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 ?1-categorical theories.
More details
Edition
2nd edition
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Undergraduate- and graduate-level university students in mathematics.
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 17 mm
Weight
476 gr
ISBN-13
978-981-283-381-5 (9789812833815)
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Schweitzer Classification
Person
Content
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.