Saturated Model Theory (2nd Edition) (2nd Revised edition)

Saturated Model Theory (2nd Edition) (2nd Revised edition)

By: Gerald E. Sacks (author)Hardback

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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.

Contents

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.

Product Details

  • ISBN13: 9789812833815
  • Format: Hardback
  • Number Of Pages: 220
  • ID: 9789812833815
  • ISBN10: 9812833811
  • edition: 2nd Revised edition

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