Saturated Model Theory (2nd Edition)

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.

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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.