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.
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Undergraduate- and graduate-level university students in mathematics.
Produkt-Hinweis
Maße
Höhe: 235 mm
Breite: 157 mm
Dicke: 17 mm
Gewicht
ISBN-13
978-981-283-381-5 (9789812833815)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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.
