The Axiom of Choice (Dover Books on Mathematics)
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Language: English
Published by Dover Publications Inc. 2009-01-01, 2009
- Softcover
- New
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- Title
- The Axiom of Choice (Dover Books on Mathematics)
- Author
- Thomas J Jech
- Publisher
- Dover Publications Inc. 2009-01-01
- Publication year
- 2009
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0486466248
- ISBN 13
- 9780486466248
Comprehensive in its selection of topics and results, this self-contained text examines the relative strengths and consequences of the axiom of choice. Each chapter contains several problems, graded according to difficulty, and concludes with some historical remarks.
An introduction to the use of the axiom of choice is followed by explorations of consistency, permutation models, and independence. Subsequent chapters examine embedding theorems, models with finite supports, weaker versions of the axiom, and nontransferable statements. The final sections consider mathematics without choice, cardinal numbers in set theory without choice, and properties that contradict the axiom of choice, including the axiom of determinacy and related topics
An introduction to the use of the axiom of choice is followed by explorations of consistency, permutation models, and independence. Subsequent chapters examine embedding theorems, models with finite supports, weaker versions of the axiom, and nontransferable statements. The final sections consider mathematics without choice, cardinal numbers in set theory without choice, and properties that contradict the axiom of choice, including the axiom of determinacy and related topics
"Synopsis" may belong to another edition of this title.
About the Author
Thomas J. Jech is Professor Emeritus at Pennsylvania State University.
"About the title" may belong to another edition of this title.
Chiron Media
Wallingford, United Kingdom
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