Lectures on Infinitary Model Theory
eBook - PDF

Lectures on Infinitary Model Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Lectures on Infinitary Model Theory

Book details
Table of contents
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About This Book

Infinitary logic, the logic of languages with infinitely long conjunctions, plays an important role in model theory, recursion theory and descriptive set theory. This book is the first modern introduction to the subject in forty years, and will bring students and researchers in all areas of mathematical logic up to the threshold of modern research. The classical topics of back-and-forth systems, model existence techniques, indiscernibles and end extensions are covered before more modern topics are surveyed. Zilber's categoricity theorem for quasiminimal excellent classes is proved and an application is given to covers of multiplicative groups. Infinitary methods are also used to study uncountable models of counterexamples to Vaught's conjecture, and effective aspects of infinitary model theory are reviewed, including an introduction to MontalbĂĄn's recent work on spectra of Vaught counterexamples. Self-contained introductions to effective descriptive set theory and hyperarithmetic theory are provided, as is an appendix on admissible model theory.

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Yes, you can access Lectures on Infinitary Model Theory by David Marker in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Year
2016
ISBN
9781316859605

Table of contents

  1. Cover
  2. Half-title page
  3. Series page
  4. Title page
  5. Copyright page
  6. Dedication page
  7. Contents
  8. Introduction
  9. Part 1. Classical Results in Infinitary Model Theory
  10. Part 2. Building Uncountable Models
  11. Part 3. Effective Considerations
  12. Appendix A. N[sub(1)]-free Abelian Groups
  13. Appendix B. Admissiblility
  14. References
  15. Index