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Forcing for mathematicians / Nik Weaver.

By: Material type: TextTextPublication details: New Jersey : World Scientific, c2014.Description: x, 142 p. ; 24 cmISBN:
  • 9789814566001 (hardcover : alk. paper)
Subject(s): DDC classification:
  • 511.34 23 W363
Contents:
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.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 511.34 W363 (Browse shelf(Opens below)) Available 136072
Total holds: 0

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.

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.

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