Axiom of Choice (Lecture Notes in Mathematics, Vol. 1876)
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Book Details
Author(s)
Horst Herrlich
Publisher
Springer
ISBN / ASIN
3540309896
ISBN-13
9783540309895
Marketplace
France 🇫🇷
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Description
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.
