Synopses & Reviews
Synopsis
In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications.
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. Martinâs axiom; 11. Suslinâs problem; 12. Whiteheadâs problem; 13. Kaplanskyâs conjecture; 14. Countable support iteration; 15. Borelâs 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. Martinâs maximum; 23. Well-founded iteration; Bibliography; Index of symbols; Subject index; Author index.