Algebraic Homotopy

Name: Algebraic Homotopy
Price: 75.3 USD
Availability: InStock
ISBN: 9780521055314

ISBN-10: 0521055318

ISBN-13: 9780521055314

Edition: 2008

Authors: Hans Joachim Baues

List price: $113.00

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Description:

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial.…

Book details

List price: $113.00
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 1/21/2008
Binding: Paperback
Pages: 488
Size: 5.94" wide x 8.98" long x 1.06" tall
Weight: 1.606
Language: English



Preface


Introduction


List of symbols



Axioms for homotopy theory and examples of cofibration categories



Homotopy theory in a cofibration category



The homotopy spectral sequences in a cofibration category



Extensions, coverings and cohomology groups of a category



Maps between mapping cones



Homotopy theory of CW-complexes



Homotopy theory of complexes in a cofibration category



Homotopy theory of Postnikov towers and the Sullivan-de Rham equivalence of rational homotopy categories



Homotopy theory of reduced complexes


Bibliography


Index