TY  - BOOK
AU  - Weaver,Nik
TI  - Forcing for mathematicians
SN  - 9789814566001 (hardcover : alk. paper)
U1  - 511.34 23
PY  - 2014///
CY  - New Jersey :   
PB  - World Scientific, 
KW  - Forcing (Model theory)
KW  - Set theory
KW  - Axiom of choice
N1  - Includes bibliographical references (pages 133-135) and index; 1. Peano arithmetic --
 2. Zermelo-Fraenkel set theory --
 3. Well-ordered sets --
 4. Ordinals --
 5. Cardinals --
 6. Relativization --
 7. Reflection --
 8. Forcing notions --
 9. Generic extensions --
 10. Forcing equality --
 11. The fundamental theorem --
 12. Forcing CH --
 13. Forcing [symbol]CH --
 14. Families of entire functions --
 15. Self-homeomorphisms of [symbols]I* --
 16. Pure sttes on [symbol](H)* --
 17. The diamond principle --
 18. Suslin's problem, I* --
 19. Naimark's problem* --
 20. A stronger diamond --
 21. Whitehead's problem, I* --
 22. Iterated forcing --
 23. Martin's axiom --
 24. Suslin's problem, II* --
 25. Whitehead's problem, II* --
 26. The open coloring axiom --
 27. Self-homeomorphisms of [symbols], II* --
 28. Automorphisms of the Calkin algebra, I* --
 29. Automorphisms of the Calkin algebra, II* --
 30. The multiverse interpretation--
Appendix A--
Excercises--
Notes--
Bibliography--
Notation index--
Subject index
N2  - This book aimed at explaining forcing to general mathematicians. It simultaneously makes the subject broadly accessible by explaining it in a clear, simple manner, and surveys advanced applications of set theory to mainstream topics
ER  -