Homotopy Type and Homology

Hans-Joachim Baues (Autor)

Buch | Hardcover

502 Seiten

1996
Oxford University Press (Verlag)
978-0-19-851482-4 (ISBN)

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This book represents a new attempt to classify homotopy types of simply connected CW-complexes. It provides methods and examples of explicit homotopy classification and includes applications to the classification of manifolds.

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.

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

Erscheint lt. Verlag	2.5.1996
Reihe/Serie	Oxford Mathematical Monographs
Zusatzinfo	line figures
Verlagsort	Oxford
Sprache	englisch
Maße	162 x 241 mm
Gewicht	886 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-19-851482-4 / 0198514824
ISBN-13	978-0-19-851482-4 / 9780198514824
Zustand	Neuware