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Commutator Calculus and Groups of Homotopy Classes : London Mathematical Society Lecture Note Series - Hans-Joachim Baues

Commutator Calculus and Groups of Homotopy Classes

London Mathematical Society Lecture Note Series

Paperback Published: 4th January 1982
ISBN: 9780521284240
Number Of Pages: 168

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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.

Commuter calculus
Distributivity laws in homotopy theory
Homotopy operations on spheres
Higher order Hopf invariants on spheres
The homotopy Lie algebra and the spherical cohomotopy algebra
Groups of homotopy classes
The Hilton-Milnor theorum and its dual
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521284240
ISBN-10: 0521284244
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 168
Published: 4th January 1982
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.0
Weight (kg): 0.26