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Multiple Forcing

Part of Cambridge Tracts in Mathematics

  • Date Published: November 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521063845


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About the Authors
  • In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications. Product forcing, iterated forcing and proper forcing have proved powerful tools when studying the foundations of mathematics, for instance in consistency proofs. The book is based on graduate courses though some results are also included, making the book attractive to set theorists and logicians.

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    Product details

    • Date Published: November 2010
    • format: Paperback
    • isbn: 9780521063845
    • length: 146 pages
    • dimensions: 229 x 152 x 9 mm
    • weight: 0.22kg
    • availability: Available
  • Table of Contents

    Part I. Product Forcing:
    1. Forcing and Boolean-valued models
    2. Properties of the generic extension
    3. Examples of generic reals
    4. Product forcing
    5. Examples of product forcing
    6. The Lévy collapse
    7. Product measure forcing
    Part II. Iterated Forcing:
    8. Two step iteration
    9. Finite support iteration
    10. Martin's axiom
    11. Suslin's problem
    12. Whitehead's problem
    13. Kaplansky's conjecture
    14. Countable support iteration
    15. Borel's conjecture
    Part III. Proper Forcing:
    16. Stationary sets
    17. Infinite games on complete Boolean algebras
    18. Proper forcing
    19. Examples of proper forcing
    20. Iteration of proper forcing
    21. The Proper Forcing Axiom
    22. Martin's maximum
    23. Well-founded iteration
    Index of symbols
    Subject index
    Author index.

  • Author

    T. Jech

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