Fundamentals of Stability Theory
eBook - PDF

Fundamentals of Stability Theory

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

Fundamentals of Stability Theory

About this book

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the twelfth publication in the Perspectives in Logic series, John T. Baldwin presents an introduction to first order stability theory, organized around the spectrum problem: calculate the number of models a first order theory T has in each uncountable cardinal. The author first lays the groundwork and then moves on to three sections: independence, dependence and prime models, and local dimension theory. The final section returns to the spectrum problem, presenting complete proofs of the Vaught conjecture for ?-stable theories for the first time in book form. The book provides much-needed examples, and emphasizes the connections between abstract stability theory and module theory.

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Yes, you can access Fundamentals of Stability Theory by John T. Baldwin 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.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Dedication
  7. Preface to the Series
  8. Acknowledgements
  9. Table of contents
  10. Chapter I Groundwork
  11. Part A Independence
  12. Part B Dependence and Prime Models
  13. Part C Local Dimension Theory
  14. Part D The Number of Models
  15. Bibliography
  16. Subject Index
  17. Symbol Index