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.
Rezensionen / Stimmen
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 *
Reihe
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Illustrationen
Maße
Höhe: 234 mm
Breite: 156 mm
Dicke: 27 mm
Gewicht
ISBN-13
978-0-19-851482-4 (9780198514824)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
ProfessorProfessor, Max-Planck-Institut, Bonn
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
