Homotopy Type and Homology

Name: Homotopy Type and Homology
Price: 84.82 USD
Availability: InStock
ISBN: 9780198514824

ISBN-10: 0198514824

ISBN-13: 9780198514824

Edition: 1996

Authors: Hans-Joachim Baues

List price: $81.00

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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.

Book details

List price: $81.00
Copyright year: 1996
Publisher: Oxford University Press, Incorporated
Publication date: 7/25/1996
Binding: Hardcover
Pages: 502
Size: 6.38" wide x 9.49" long x 1.30" tall
Weight: 1.958
Language: English



Introduction



Linear extension and Moore spaces



Invariants of homotopy types



On the classification of homotopy types



The CW-tower of categories



Spaniert-Whitehead duality and the stable CW-tower



Eilenberg-Mac Lane functors



Moore functors



The homotopy category of (n -1)-connected (n+1)-types



On the homotopy classification of (n-1)-connected (n+3)-dimensional polyhedra, n>4



On the homotopy classification of 2-connected 6-dimensional polyhedra



Decomposition of homotopy types



Homotopy groups in dimension 4



On the homotopy classification of simply connected 5-dimensional polyhedra



Primary homotopy operations and homotopy groups of mapping cones


Bibliography


Index