Axiom of choice

著者

• Herrlich, Horst

書誌事項

Axiom of choice

Horst Herrlich

（Lecture notes in mathematics, 1876）

Springer, c2006

注記

Includes bibliographical references (p. [169]-182) and index

内容説明・目次

内容説明

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.

目次

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

「Nielsen BookData」 より

• NII書誌ID(NCID): BA76804122
• ISBN:
  • 3540309896
• LCCN: 2006921740
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: xiv, 194 p.
• 大きさ: 24 cm
• 分類:
  • SG : 510
• 親書誌ID:
  • BA00146586
• リンク:
  • dx.doi.org/10.1007/11601562