Description 
1 online resource (x, 142 pages) 
Contents 
1. Peano arithmetic  2. ZermeloFraenkel set theory  3. Wellordered 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. Selfhomeomorphisms 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. Selfhomeomorphisms of [symbols], II*  28. Automorphisms of the Calkin algebra, I*  29. Automorphisms of the Calkin algebra, II*  30. The multiverse interpretation 
Summary 
Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, forcing has been seen by the general mathematical community as a subject of great intrinsic interest but one that is technically so forbidding that it is only accessible to specialists. In the past decade, a series of remarkable solutions to longstanding problems in C*algebra using settheoretic methods, many achieved by the author and his collaborators, have generated new interest in this subject. This is the first 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 
Bibliography 
Includes bibliographical references and indexes 
Notes 
Print version record 
Subject 
Axiom of choice.


Continuum hypothesis.


Forcing (Model theory)


Set theory.

Form 
Electronic book

ISBN 
9789814566018 (electronic bk.) 

9814566012 (electronic bk.) 

(hardcover ;) (alk. paper) 

(paperback;) (alk. paper) 

(hardcover ;) (alk. paper) 

(paperback;) (alk. paper) 
