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. INDICE: 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.
- ISBN: 978-981-283-381-5
- Editorial: World Scientific
- Encuadernacion: Cartoné
- Páginas: 220
- Fecha Publicación: 02/12/2009
- Nº Volúmenes: 1
- Idioma: Inglés