Homotopy Type and Homology
Published on 2. May 1996
Book
Hardback
502 pages
978-0-19-851482-4 (ISBN)
Description
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.
Reviews / Votes
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 for others who may wish to use results on homotopy classification in other areas such as classification of manifolds. * Zentrall fur Mathematik, vol. 857, 1997 *More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
Professional and scholarly
Illustrations
line figures
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 31 mm
Weight
916 gr
ISBN-13
978-0-19-851482-4 (9780198514824)
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Schweitzer Classification
Person
Content
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