The Axiom of Choice
Thomas J. Jech$12.71
$14.95
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
Binding Type: Paperback
Publisher: Dover Publications
Published: 07/24/2008
ISBN: 9780486466248
Pages: 202
Weight: 0.50lbs
Size: 8.30h x 5.40w x 0.50d
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
Binding Type: Paperback
Publisher: Dover Publications
Published: 07/24/2008
ISBN: 9780486466248
Pages: 202
Weight: 0.50lbs
Size: 8.30h x 5.40w x 0.50d