Cover of Sacks Gerald E Sacks: Saturated Model Theory (2nd Edition)

Sacks Gerald E Sacks Saturated Model Theory (2nd Edition)

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World Scientific Publishing Company

2009

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978-981-3107-32-8

981-3107-32-4

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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 I 1-categorical theories.

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