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Ebook: Saturated model theory

  • Year: 2010
  • Publisher: World Scientific
  • City: Singapore
  • Edition: Second edition, [numerous corrections].
  • Language: English
  • pdf
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05.02.2024
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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 1-categorical theories.
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