Problems and Theorems in Classical Set Theory

Table of Contents

1. Altmetric Badge
   Book Overview
2. Altmetric Badge
   Chapter 1 Operations on sets
3. Altmetric Badge
   Chapter 2 Countability
4. Altmetric Badge
   Chapter 3 Equivalence
5. Altmetric Badge
   Chapter 4 Continuum
6. Altmetric Badge
   Chapter 5 Sets of reals and real functions
7. Altmetric Badge
   Chapter 6 Ordered sets
8. Altmetric Badge
   Chapter 7 Order types
9. Altmetric Badge
   Chapter 8 Ordinals
10. Altmetric Badge
    Chapter 9 Ordinal arithmetic
11. Altmetric Badge
    Chapter 10 Cardinals
12. Altmetric Badge
    Chapter 11 Partially ordered sets
13. Altmetric Badge
    Chapter 12 Transfinite enumeration
14. Altmetric Badge
    Chapter 13 Euclidean spaces
15. Altmetric Badge
    Chapter 14 Zorn’s lemma
16. Altmetric Badge
    Chapter 15 Hamel bases
17. Altmetric Badge
    Chapter 16 The continuum hypothesis
18. Altmetric Badge
    Chapter 17 Ultrafilters on ω
19. Altmetric Badge
    Chapter 18 Families of sets
20. Altmetric Badge
    Chapter 19 The Banach-Tarski paradox
21. Altmetric Badge
    Chapter 20 Stationary sets in ω 1
22. Altmetric Badge
    Chapter 21 Stationary sets in larger cardinals
23. Altmetric Badge
    Chapter 22 Canonical functions
24. Altmetric Badge
    Chapter 23 Infinite graphs
25. Altmetric Badge
    Chapter 24 Partition relations
26. Altmetric Badge
    Chapter 25 Δ -systems
27. Altmetric Badge
    Chapter 26 Set mappings
28. Altmetric Badge
    Chapter 27 Trees
29. Altmetric Badge
    Chapter 28 The measure problem
30. Altmetric Badge
    Chapter 29 Stationary sets in [ λ ]
31. Altmetric Badge
    Chapter 30 The axiom of choice
32. Altmetric Badge
    Chapter 31 Well-founded sets and the axiom of foundation
33. Altmetric Badge
    Chapter 32 Operations on sets
34. Altmetric Badge
    Chapter 33 Countability
35. Altmetric Badge
    Chapter 34 Equivalence
36. Altmetric Badge
    Chapter 35 Continuum
37. Altmetric Badge
    Chapter 36 Sets of reals and real functions
38. Altmetric Badge
    Chapter 37 Ordered sets
39. Altmetric Badge
    Chapter 38 Order types
40. Altmetric Badge
    Chapter 39 Ordinals
41. Altmetric Badge
    Chapter 40 Ordinal arithmetic
42. Altmetric Badge
    Chapter 41 Cardinals
43. Altmetric Badge
    Chapter 42 Partially ordered sets
44. Altmetric Badge
    Chapter 43 Transfinite enumeration
45. Altmetric Badge
    Chapter 44 Euclidean spaces
46. Altmetric Badge
    Chapter 45 Zorn’s lemma
47. Altmetric Badge
    Chapter 46 Hamel bases
48. Altmetric Badge
    Chapter 47 The continuum hypothesis
49. Altmetric Badge
    Chapter 48 Ultrafilters on ω
50. Altmetric Badge
    Chapter 49 Families of sets
51. Altmetric Badge
    Chapter 50 The Banach-Tarski paradox
52. Altmetric Badge
    Chapter 51 Stationary sets in ω 1
53. Altmetric Badge
    Chapter 52 Stationary sets in larger cardinals
54. Altmetric Badge
    Chapter 53 Canonical functions
55. Altmetric Badge
    Chapter 54 Infinite graphs
56. Altmetric Badge
    Chapter 55 Partition relations
57. Altmetric Badge
    Chapter 56 Δ -systems
58. Altmetric Badge
    Chapter 57 Set mappings
59. Altmetric Badge
    Chapter 58 Trees
60. Altmetric Badge
    Chapter 59 The measure problem
61. Altmetric Badge
    Chapter 60 Stationary sets in [ λ ]
62. Altmetric Badge
    Chapter 61 The axiom of choice
63. Altmetric Badge
    Chapter 62 Well-founded sets and the axiom of foundation