Axiom of choice

Author(s)

• Herrlich, Horst

Bibliographic Information

Axiom of choice

Horst Herrlich

（Lecture notes in mathematics, 1876）

Springer, c2006

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.

by "Nielsen BookData"

Details

• NCID: BA76804122
• ISBN:
  • 3540309896
• LCCN: 2006921740
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: xiv, 194 p.
• Size: 24 cm
• Classification:
  • SG : 510
• Parent Bibliography ID:
  • BA00146586
• Link:
  • dx.doi.org/10.1007/11601562