Axiom of Choice / Edition 1

Axiom of Choice / Edition 1

by Horst Herrlich
ISBN-10:
3540309896
ISBN-13:
9783540309895
Pub. Date:
07/06/2006
Publisher:
Springer Berlin Heidelberg
ISBN-10:
3540309896
ISBN-13:
9783540309895
Pub. Date:
07/06/2006
Publisher:
Springer Berlin Heidelberg
Axiom of Choice / Edition 1

Axiom of Choice / Edition 1

by Horst Herrlich

Paperback

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Overview

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.


Product Details

ISBN-13: 9783540309895
Publisher: Springer Berlin Heidelberg
Publication date: 07/06/2006
Series: Lecture Notes in Mathematics , #1876
Edition description: 2006
Pages: 198
Product dimensions: 6.10(w) x 9.17(h) x 0.02(d)

Table of Contents

Origins.- Choice Principles.- Elementary Observations.- Disasters without Choice.- Disasters with Choice.- Disasters either way.- Beauty without Choice.
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