Axiom of choice
Author(s)
Bibliographic Information
Axiom of choice
(Lecture notes in mathematics, 1876)
Springer, c2006
Available at 64 libraries
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Note
Includes bibliographical references (p. [169]-182) and index
Description and Table of Contents
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.
Table of Contents
Origins.- Choice Principles.- Elementary Observations.- Disasters without Choice.- Disasters with Choice.- Disasters either way.- Beauty without Choice.
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