Combinatorial set theory: with a gentle introduction to forcing
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
London; New York
Name of Publisher, Distributor, etc.
Springer
Date of Publication, Distribution, etc.
c2012
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xvi, 453 p.: ill.
SERIES
Other Title Information
Springer monographs in mathematics, 9341-2837
GENERAL NOTES
Text of Note
Includes bibliographical references and indexes
NOTES PERTAINING TO TITLE AND STATEMENT OF RESPONSIBILITY
Text of Note
Lorenz J. Halbeisen
CONTENTS NOTE
Text of Note
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 -- 01. Happy families and their relatives -- 11. Coda: a dual form of Ramsey's theorem -- 21. The idea of forcing -- 31. Martin's axiom -- 41. The notion of forcing -- 51. Models of finite fragments of set theory -- 61. Proving unprovability -- 71. Models in which AC fails -- 81. Combining forcing notions -- 91. Models in which p=c -- 02. Properties of forcing extensions -- 12. Cohen forcing revisited -- 22. Silver-like forcing notions -- 32. Miller forcing -- 42. Mathias forcing -- 52. On the existence of Ramsey ultrafilters -- 62. Combinatorial properties of sets of partitions -- 72. Suite