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Combinatorial set theory : with a gentle introduction to forcing
Illustrative Content
LCC: QA248 .H238 2012 (Source: dlc)
DDC: 511.3/22 full
Identified By
Lccn: 2011942598
Table Of Contents
1.The setting
2. Overture: Ramsey's theorem
3. The axioms of Zermelo-Fraenkel set theory
4. Cardinal relations in ZF only
5. The axiom of choice
6. How to make two balls from one
7. Models of set theory with atoms
8. Twelve cardinals and their relations
9. The shattering number revisited
10. Happy families and their relatives
11. Coda: a dual form of Ramsey's theorem
12. The idea of forcing
13. Martin's axiom
14. The notion of forcing
15. Models of finite fragments of set theory
16. Proving unprovability
17. Models in which AC fails
18. Combining forcing notions
19. Models in which p=c
20. Properties of forcing extensions
21. Cohen forcing revisited
22. Silver-like forcing notions
23. Miller forcing
24. Mathias forcing
25. On the existence of Ramsey ultrafilters
26. Combinatorial properties of sets of partitions
27. Suite.
Responsibility Statement
Lorenz J. Halbeisen
Authorized Access Point
Halbeisen, Lorenz J. Combinatorial set theory : with a gentle introduction to forcing