Proper and Improper Forcing
eBook - PDF

Proper and Improper Forcing

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

Proper and Improper Forcing

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. This volume, the fifth publication in the Perspectives in Logic series, studies set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. The author gives a complete presentation of the theory of proper forcing and its relatives, starting from the beginning and avoiding the metamathematical considerations. No prior knowledge of forcing is required. The book will enable a researcher interested in an independence result of the appropriate kind to have much of the work done for them, thereby allowing them to quote general results.

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Yes, you can access Proper and Improper Forcing by Saharon Shelah 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

Publisher
Cambridge University Press
Year
2017
Print ISBN
9781107168367
eBook ISBN
9781316731710
Edition
2
Topic
Mathematics
Subtopic
Logic in Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Perspectives in Mathematical Logic
  7. Dedication
  8. Table of contents
  9. Introduction
  10. Notation
  11. Content by Subject
  12. Annotated Content
  13. I. Forcing, Basic Facts
  14. II. Iteration of Forcing
  15. III. Proper Forcing
  16. IV. On Oracle-c.c., the Lifting Problem of the Measure Algebra, and “P (ω)/finite Has No Non-trivial Automorphism”
  17. V. α-Properness and Not Adding Reals
  18. VI. Preservation of Additional Properties, and Applications
  19. VII. Axioms and Their Application
  20. VIII. Îș-pic and Not Adding Reals
  21. IX. Souslin Hypothesis Does Not Imply “Every Aronszajn Tree Is Special”
  22. X. On Semi-Proper Forcing
  23. XI. Changing Cofinalities; Equi-Consistency Results
  24. XII. Improper Forcing
  25. XIII. Large Ideals on ω[sub(1)]
  26. XIV. Iterated Forcing with Uncountable Support
  27. XV. A More General Iterable Condition Ensuring aleph[sub(1)] Is Not Collapsed
  28. XVI. Large Ideals on aleph[sub(1)] from Smaller Cardinals
  29. XVII. Forcing Axioms
  30. XVIII. More on Proper Forcing
  31. Appendix. On Weak Diamonds and the Power of Ext
  32. References