Del i serien Oxford Mathematical Monographs

Homotopy Type and Homology

Inbunden, Engelska, 1996

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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 this important research area.

Produktinformation

Utgivningsdatum1996-05-02
Mått162 x 241 x 33 mm
Vikt886 g
FormatInbunden
SpråkEngelska
SerieOxford Mathematical Monographs
Antal sidor502
FörlagOUP OXFORD
ISBN9780198514824

Tillhör följande kategorier

Topologi inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

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

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.