Ulteriori informazioni
Zusatztext 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. Klappentext The author, a leading figure in algebraic topology, provides a modern treatment of a long established set of questions in this important research area. The book's principal objective--and main result--is the classification theorem on k-variants and boundary invariants, which supplement the classical picture of homology and homotopy groups, along with computations of types that are obtained by applying this theorem. Research mathematicians in algebraic topology will be interested in this new attempt to classify homotopy types of simply connected CW-complexes. Zusammenfassung 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. Inhaltsverzeichnis 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 ...
