Book:Thomas J. Jech/The Axiom of Choice

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Thomas J. Jech: The Axiom of Choice

Published $1973$, Dover Publications

ISBN 0-486-46624-8.


Subject Matter


Contents

Preface (December 1972)
1. Introduction
1.1. The Axiom of Choice
1.2. A nonmeasurable set of real numbers
1.3. A paradoxical decomposition of the sphere
1.4. Problems
1.5. Historical remarks
2. Use of the Axiom of Choice
3. Consistency of the Axiom of Choice
4. Permutation models
5. Independence of the Axiom of Choice
6. Embedding Theorems
7. Models with finite supports
8. Some weaker versions of the Axiom of Choice
9. Nontransferable statements
10. Mathematics without choice
11. Cardinal numbers in set theory without choice
12. Some properties contradicting the Axiom of Choice
Appendix
References
Author index
Subject index
List of symbols