# The Axiom of Choice

###### Thomas J. Jech
Publisher:
Dover
Publication Date:
2008
Number of Pages:
202
Format:
Paperback
Price:
15.95
ISBN:
9780486466248
Category:
Monograph
BLL Rating:

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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Preface

1. Introduction

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 1. Equivalents of the axiom of choice

Appendix 2. Equivalents of the Prime Ideal Theorem

Appendix 3. Various independence results

Appendix 4. Miscellaneous examples

References

Author Index

Subject Index

List of Symbols