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Tables of Contents for Basic Set Theory
Chapter/Section Title
Page #
Page Count
Preface
vii
Sets and Their Cardinalities
1
40
Sets
1
3
Cardinality
4
3
Equal cardinalities
7
2
Countable sets
9
7
Cantor-Bernstein Theorem
16
8
Cantor's Theorem
24
6
Functions
30
5
Operations on cardinals
35
6
Ordered Sets
41
68
Equivalence relations and orderings
41
6
Isomorphisms
47
5
Well-founded orderings
52
4
Well-ordered sets
56
3
Transfinite induction
59
7
Zermelo's Theorem
66
3
Transfinite induction and Hamel basis
69
5
Zorn's Lemma and its application
74
4
Operations on cardinals revisited
78
5
Ordinals
83
4
Ordinal arithmetic
87
4
Recursive definitions and exponentiation
91
8
Application of ordinals
99
10
Bibliography
109
2
Glossary
111
2
Index
113