Model theory : an introduction /
This book is a modern introduction to model theory which stresses applications to algebra throughout the text. The first half of the book includes classical material on model construction techniques, type spaces, prime models, saturated models, countable models, and indiscernibles and their applicat...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
[2002]
|
| Series: | Graduate texts in mathematics ;
217. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book is a modern introduction to model theory which stresses applications to algebra throughout the text. The first half of the book includes classical material on model construction techniques, type spaces, prime models, saturated models, countable models, and indiscernibles and their applications. The author also includes an introduction to stability theory beginning with Morley's Categoricity Theorem and concentrating on omega-stable theories. One significant aspect of this text is the inclusion of chapters on important topics not covered in other introductory texts, such as omega-stable groups and the geometry of strongly minimal sets. The author then goes on to illustrate how these ingredients are used in Hrushovski's applications to diophantine geometry. David Marker is Professor of Mathematics at the University of Illinois at Chicago. His main area of research involves mathematical logic and model theory, and their applications to algebra and geometry. This book was developed from a series of lectures given by the author at the Mathematical Sciences Research Institute in 1998. |
|---|---|
| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 342 pages) |
| Bibliography: | Includes bibliographical references (pages 329-335) and index. |
| ISBN: | 0387227342 (electronic bk.) 9780387227344 (electronic bk.) 0585472874 (electronic bk.) 9780585472874 (electronic bk.) |