AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
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AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
Imprint | Springer-Verlag |
Country of origin | Germany |
Series | Lecture Notes in Mathematics, 1876 |
Release date | May 2006 |
Availability | Expected to ship within 10 - 15 working days |
First published | 2006 |
Authors | Horst Herrlich |
Dimensions | 233 x 155 x 11mm (L x W x T) |
Format | Paperback |
Pages | 198 |
Edition | 2006 ed. |
ISBN-13 | 978-3-540-30989-5 |
Barcode | 9783540309895 |
Categories | |
LSN | 3-540-30989-6 |