A geometric approach to homology theory
著者
書誌事項
A geometric approach to homology theory
(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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