Buch, Englisch, Band 88, 144 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 375 g
Buch, Englisch, Band 88, 144 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 375 g
Reihe: Cambridge Tracts in Mathematics
ISBN: 978-0-521-26659-8
Verlag: Cambridge University Press
Professor Jech gives here 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 recent results are also included, making the book attractive to set theorists and logicians.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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.
