Saturated Model Theory |
|
| Author:
| Sacks, Gerald E. |
| ISBN: | 978-981-283-381-5 |
| Publication Date: | Jul 2009 |
| Publisher: | World Scientific Publishing Co Pte Ltd
|
| Book Format: | Hardback |
| List Price: | AUD $100.95 |
Book 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.
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.