2-knots and their groups

著者

• Hillman, Jonathan A. (Jonathan Arthur)

書誌事項

2-knots and their groups

Jonathan Hillman

（Australian Mathematical Society lecture series, 5）

Cambridge University Press, 1989

• : pbk

タイトル別名

Two-knots and their groups

注記

Bibliography: p. 150-163

Includes index

内容説明・目次

内容説明

To attack certain problems in 4-dimensional knot theory the author draws on a variety of techniques, focusing on knots in S^T4, whose fundamental groups contain abelian normal subgroups. Their class contains the most geometrically appealing and best understood examples. Moreover, it is possible to apply work in algebraic methods to these problems. Work in four-dimensional topology is applied in later chapters to the problem of classifying 2-knots.

目次

• 1. Knots and Related Manifolds
• 2. The Knot Group
• 3. Localization and Asphericity
• 4. The Rank 1 Case
• 5. The Rank 2 Case
• 6. Ascending Series and the Large Rank Cases
• 7. The Homotopy Type of M(K)
• 8. Applying Surgery to Determine the Knot.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA06797168
• ISBN:
  • 9780521378123
• LCCN: 88035266
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge [England] ; New York
• ページ数/冊数: x, 164 p.
• 大きさ: 23 cm
• 分類:
  • LCC : QA612.2
  • DC19 : 514/.224
  • NDC8 : 415.2
• 件名:
  • LCSH : Knot theory
• 親書誌ID:
  • BA00549447