 | ||||||||||||||||
| ||||||||||||||||
by Thomas J. Jech
|
ISBN: 0486466248 Dover Publications Price: $14.95 |
click here to see this book |
Comprehensive in its selection of topics and results, this self-contained text examines the relative strengths and the consequences of the axiom of choice. Subjects include consistency and independence, permutation models, and examples and counterexamples of the axiom's use. Each chapter contains several problems and concludes with some historical remarks. 1973 edition.
Reprint of the American Elsevier Publishing Company, New York, 1973 edition.
See Sample Pages! Click here to look inside this book.
Table of Contents for The Axiom of Choice
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