Multiple Forcing

T. Jech (Autor)

Buch | Softcover

146 Seiten

2010
Cambridge University Press (Verlag)
978-0-521-06384-5 (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	25.11.2010
Reihe/Serie	Cambridge Tracts in Mathematics
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 229 mm
Gewicht	220 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-521-06384-1 / 0521063841
ISBN-13	978-0-521-06384-5 / 9780521063845
Zustand	Neuware