عنوان

Combinatorial set theory

9781447121725 (alk. paper)

IR

EN-52657

انگلیسی

IR

Combinatorial set theory

[Book]

:with a gentle introduction to forcing

/ Lorenz J. Halbeisen

London ;New York

: Springer,

, c2012.

xvi, 453 p. , ill. , 24 cm.

(Springer monographs in mathematics,1439-7382)

Electronic

Includes bibliographical references and indexes.

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.

Springer monographs in mathematics

Combinatorial set theory

Forcing (Model theory)

Halbeisen, Lorenz J.

ایران

9781447121725.pdf

عادی

عادی

9781447121725.pdf

متن

old catalog

e

BL

1

a

Y