Homotopy type and homology
著者
書誌事項
Homotopy type and homology
（Oxford mathematical monographs）
Clarendon Press , Oxford University Press, 1996
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注記
Includes bibliographical references (p. [479]-483) and index
内容説明・目次
内容説明
Research mathematicians in algebraic topology will be interested in this new attempt to classify homotopy types of simply connected CW-complexes. This book provides a modern treatment of a long established set of questions in algebraic topology. The author is a leading figure in this important research area.
目次
- Introduction
- 1. Linear extension and Moore spaces
- 2. Invariants of homotopy types
- 3. On the classification of homotopy types
- 4. The CW-tower of categories
- 5. Spaniert-Whitehead duality and the stable CW-tower
- 6. Eilenberg-Mac Lane functors
- 7. Moore functors
- 8. The homotopy category of (n -1)-connected (n+1)-types
- 8. On the homotopy classification of (n-1)-connected (n+3)-dimensional polyhedra, n>4
- 9. On the homotopy classification of 2-connected 6-dimensional polyhedra
- 10. Decomposition of homotopy types
- 11. Homotopy groups in dimension 4
- 12. On the homotopy classification of simply connected 5-dimensional polyhedra
- 13. Primary homotopy operations and homotopy groups of mapping cones
- Bibliography
- Index
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