Homotopy Type and Homology

Hardcover | April 30, 1999

byHans-Joachim Baues

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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 thisimportant research area.

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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 thisimportant research area.

Hans-Joachim Baues is a Professor at Max-Planck-Institut, Bonn.
Format:HardcoverDimensions:502 pages, 9.21 × 6.14 × 1.3 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198514824

ISBN - 13:9780198514824

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Table of Contents

Introduction1. Linear extension and Moore spaces2. Invariants of homotopy types3. On the classification of homotopy types4. The CW-tower of categories5. Spaniert-Whitehead duality and the stable CW-tower6. Eilenberg-Mac Lane functors7. Moore functors8. The homotopy category of (n -1)-connected (n+1)-types8. On the homotopy classification of (n-1)-connected (n+3)-dimensional polyhedra, n49. On the homotopy classification of 2-connected 6-dimensional polyhedra10. Decomposition of homotopy types11. Homotopy groups in dimension 412. On the homotopy classification of simply connected 5-dimensional polyhedra13. Primary homotopy operations and homotopy groups of mapping conesBibliographyIndex

Editorial Reviews

`Because of its new results and techniques and its comprehensive coverage of the classification of homotopy types of simply-connected complexes with cells in only four consecutive dimensions and dual case, the book is necessary reading for graduate students and researchers in the field and forothers who may wish to use results on homotopy classification in other areas such as classification of manifolds.'Zentrall fur Mathematik, vol. 857, 1997