Commutator Calculus and Groups of Homotopy Classes by Hans-Joachim Baues
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Commutator Calculus and Groups of Homotopy Classes
By Hans-Joachim Baues

Commutator Calculus and Groups of Homotopy Classes

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Format: Paperback

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Commutator Calculus and Groups of Homotopy Classes by Hans-Joachim Baues

Book Description

A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations (composition and addition of maps, smash products, Whitehead products and higher order James-Hopi invariants). The account is essentially self-contained and should be accessible to non-specialists and graduate students with some background in algebraic topology and homotopy theory.

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Book Details

ISBN: 9780521284240
ISBN-10: 0521284244
Format: Paperback
(228mm x 152mm x 10mm)
Pages: 168
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 5-Nov-1981
Country of Publication: United Kingdom

Books By Author Hans-Joachim Baues

Algebraic Homotopy by Hans-Joachim Baues Algebraic Homotopy, Paperback (January 2008)

This book gives a general outlook on homotopy theory.

Homotopy Category of Simply Connected 4-Manifolds by Hans-Joachim Baues Homotopy Category of Simply Connected 4-Manifolds, Paperback (April 2003)

Homotopy of 4-manifolds for researchers and graduate students.

Homotopy Type and Homology by Hans-Joachim Baues Homotopy Type and Homology, Hardback (May 1996)

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.

» View all books by Hans-Joachim Baues

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Recent books by Hans-Joachim Baues close
Algebraic Homotopy by Hans-Joachim Baues
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»
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