Multiple Forcing

Erscheinungsjahr 2010
ISBN: 978-0-521-06384-5
Verlag: Cambridge University Press

Buch, Englisch, Band 88, 146 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 223 g

Reihe: Cambridge Tracts in Mathematics

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.

Autoren/Hrsg.

Jech, T.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.