Commutator Calculus and Groups of Homotopy Classes
By (author) Hans-Joachim Baues
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Commutator Calculus and Groups of Homotopy Classes by Hans-Joachim Baues
Book DescriptionA 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 DetailsISBN: 9780521284240
(228mm x 152mm x 10mm)
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, Paperback (January 2008)
This book gives a general outlook on homotopy theory.
Homotopy Category of Simply Connected 4-Manifolds, Paperback (April 2003)
Homotopy of 4-manifolds for researchers and graduate students.
Homotopy Type and Homology, Hardback (May 1996)» View all books by Hans-Joachim Baues
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.
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