A Course in Model Theory

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Cambridge University Press, Mar 8, 2012 - Mathematics - 248 pages
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This concise introduction to model theory begins with standard notions and takes the reader through to more advanced topics such as stability, simplicity and Hrushovski constructions. The authors introduce the classic results, as well as more recent developments in this vibrant area of mathematical logic. Concrete mathematical examples are included throughout to make the concepts easier to follow. The book also contains over 200 exercises, many with solutions, making the book a useful resource for graduate students as well as researchers.
 

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Contents

Elementary extensions and compactness
17
Quantifier elimination
27
Countable models
47
ℵ1categorical theories
63
Morley rank
89
Simple theories
109
Stable theories
129
Prime extensions
157
The fine structure of ℵ1categorical theories
165
Appendix A Set theory
185
Appendix B Fields
191
Combinatorics
205
Solutions to exercises
213
References
235
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About the author (2012)

Katrin Tent is Professor of Mathematics at Westfälische Wilhelms-Universität Münster, Germany.

Martin Ziegler is a Professor of Mathematics at Albert-Ludwigs-Universität Freiburg, Germany.

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