Multiple Forcing
Multiple Forcing
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.
Product details
February 2011Adobe eBook Reader
9780511826597
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Preface
- 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
- Bibliography
- Index of symbols
- Subject index
- Author index.
