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Lectures on Infinitary Model Theory

David Marker
Publisher: 
Cambridge University Press
Publication Date: 
2016
Number of Pages: 
183
Format: 
Hardcover
Series: 
Lecture Notes in Logic
Price: 
125.00
ISBN: 
9781107181939
Category: 
Monograph
We do not plan to review this book.

Introduction
Part I. Classical Results in Infinitary Model Theory:
1. Infinitary languages
2. Back and forth
3. The space of countable models
4. The model existence theorem
5. Hanf numbers and indiscernibles
Part II. Building Uncountable Models:
6. Elementary chains
7. Vaught counterexamples
8. Quasinimal excellence
Part III. Effective Considerations:
9. Effective descriptive set theory
10. Hyperarithmetic sets
11. Effective aspects of Lω1,ω
12. Spectra of Vaught counterexamples
Appendix A. N1-free abelian groups
Appendix B. Admissibility
References
Index.