Saturated Model Theory (2nd Edition)

• Author(s): Gerald E Sacks,
• Publisher: World Scientific
• Pages: 220
• ISBN_10: 981283382X
  ISBN_13: 9789812833822
  
• Language: en
• Categories: Mathematics / Logic , Mathematics / Set Theory , Mathematics / Finite Mathematics ,

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 ϖ1-categorical theories.