書誌事項

A geometric approach to homology theory

by S. Buoncristiano, C.P. Rourke, and B.J. Sanderson

(London Mathematical Society lecture note series, 18)

Cambridge University Press, c1976

タイトル別名

Homology theory

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注記

Spine title: Homology theory

Includes bibliographical references

内容説明・目次

内容説明

The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that of a 'mock bundle', which is the geometric cocycle of a general cobordism theory, and the main new result is that any homology theory is a generalized bordism theory. The book will interest mathematicians working in both piecewise linear and algebraic topology especially homology theory as it reaches the frontiers of current research in the topic. The book is also suitable for use as a graduate course in homology theory.

目次

  • 1. Homotopy functors
  • 2. Mock bundles
  • 3. Coefficients
  • 4. Geometric theories
  • 5. Equivariant theories and operations
  • 6. Sheaves
  • 7. The geometry of CW complexes.

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詳細情報

  • NII書誌ID(NCID)
    BA07660806
  • ISBN
    • 0521209404
  • LCCN
    75022980
  • 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 [Eng.] ; New York
  • ページ数/冊数
    149 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
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