عنوان

Combinatorial set theory: with a gentle introduction to forcing

عنوان اصلي

Combinatorial set theory: with a gentle introduction to forcing

محل نشرو پخش و غیره

London; New York

نام ناشر، پخش کننده و غيره

Springer

تاریخ نشرو بخش و غیره

c2012

نام خاص و کميت اثر

xvi, 453 p.: ill.

ساير اطلاعات عنواني

Springer monographs in mathematics, 9341-2837

متن يادداشت

Includes bibliographical references and indexes

متن يادداشت

Lorenz J. Halbeisen

متن يادداشت

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

عنصر شناسه ای

، Combinatorial set theory

عنصر شناسه ای

، Forcing )Model theory(

شماره

شماره رده

عنصر شناسه اي

Halbeisen, Lorenz J.

کد نقش

AU

عنصر شناسه اي

TI

عنصر شناسه اي

SE

عنصر شناسه اي

SE Springer monographs in mathematics