Click Here to Download: https://ouo.io/BY51SR The Axiom of Choice By: Thomas J. Jech Publisher: Dover Publications Print ISBN: 9780486466248, 0486466248 eText ISBN: 9780486318257, 0486318257 Pages: 224 Format: EPUB Available from $ 15.95 USD SKU 9780486318257 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
