Lectures on Infinitary Model Theory

Author:   David Marker (University of Illinois, Chicago)
Publisher:   Cambridge University Press
Volume:   46
ISBN:  

9781107181939


Pages:   192
Publication Date:   27 October 2016
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Lectures on Infinitary Model Theory


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Author:   David Marker (University of Illinois, Chicago)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   46
Dimensions:   Width: 16.00cm , Height: 1.80cm , Length: 23.60cm
Weight:   0.430kg
ISBN:  

9781107181939


ISBN 10:   1107181933
Pages:   192
Publication Date:   27 October 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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Author Information

David Marker is LAS Distinguished Professor of Mathematics at the University of Illinois, Chicago, and a Fellow of the American Mathematical Society. His main area of research is model theory and its connections to algebra, geometry and descriptive set theory. His book, Model Theory: An Introduction, is one of the most frequently used graduate texts in the subject and was awarded the Shoenfield Prize for expository writing by the Association for Symbolic Logic.

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