The Axiom of Choice
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The Axiom of Choice
Author: Thomas J. Jech
Brand: Dover
Edition: Illustrated
Binding: paperback
Format: Illustrated
Number Of Pages: 224
Release Date: 24-07-2008
Part Number: illustrations
Details: 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
EAN: 9780486466248
Package Dimensions: 8.5 x 5.5 x 0.6 inches
Languages: English
