Multiple Forcing

T. Jech (Autor)

Buch | Hardcover

148 Seiten

1987
Cambridge University Press (Verlag)
978-0-521-26659-8 (ISBN)

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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.

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.

Erscheint lt. Verlag	22.1.1987
Reihe/Serie	Cambridge Tracts in Mathematics
Verlagsort	Cambridge
Sprache	englisch
Maße	157 x 236 mm
Gewicht	380 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-521-26659-9 / 0521266599
ISBN-13	978-0-521-26659-8 / 9780521266598
Zustand	Neuware