88 Multiple Forcing - Brossura

Jech, Thomas

Brossura

ISBN 10: 0521063841 ISBN 13: 9780521063845

Casa editrice: Cambridge University Press, 2006

Riassunto

In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications.

Su questo libro

Descrizione del libro

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.

Contenuti

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.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 0521063841
• ISBN 13: 9780521063845
• Rilegatura: Copertina flessibile
• Numero di pagine: 146
• Contatto del produttore: non disponibile
• Persona responsabile: gpsr@libri.de; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Germania