A Guide to Classical and Modern Model Theory

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Springer Science & Business Media, 2003 - Mathematics - 369 pages
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Since its birth, Model Theory has been developing a number of methods and concepts that have their intrinsic relevance, but also provide fruitful and notable applications in various fields of Mathematics. It is a lively and fertile research area which deserves the attention of the mathematical world. This volume-is easily accessible to young people and mathematicians unfamiliar with logic; -gives a terse historical picture of Model Theory; -introduces the latest developments in the area; -provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters. A Guide to Classical and Modern Model Theory is for trainees and professional model theorists, mathematicians working in Algebra and Geometry and young people with a basic knowledge of logic.
 

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Contents

Structures
1
Quantifier Elimination
43
Model Completeness
85
Elimination of imaginaries
121
Morley rank
133
ω stability
181
Classifying
221
Model Theory and Algebraic Geometry
291
Ominimality
313
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