Homotopy Type and Homology

Erscheinungsjahr 1996
ISBN: 978-0-19-851482-4
Verlag: OUP Oxford

Buch, Englisch, 502 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 916 g

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.

Autoren/Hrsg.

Baues, Hans-Joachim

Baues, Hans J.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

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