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Beschreibung
In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications.
In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications.
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.
Details
Erscheinungsjahr: | 2010 |
---|---|
Fachbereich: | Grundlagen |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Seiten: | 146 |
ISBN-13: | 9780521063845 |
ISBN-10: | 0521063841 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Jech, T. |
Hersteller: | Cambridge University Press |
Maße: | 229 x 152 x 8 mm |
Von/Mit: | T. Jech |
Erscheinungsdatum: | 20.10.2010 |
Gewicht: | 0,223 kg |
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.
Details
Erscheinungsjahr: | 2010 |
---|---|
Fachbereich: | Grundlagen |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Seiten: | 146 |
ISBN-13: | 9780521063845 |
ISBN-10: | 0521063841 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Jech, T. |
Hersteller: | Cambridge University Press |
Maße: | 229 x 152 x 8 mm |
Von/Mit: | T. Jech |
Erscheinungsdatum: | 20.10.2010 |
Gewicht: | 0,223 kg |
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