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Commutator Calculus and Groups of Homotopy Classes by Hans Joachim Baues at Abbey's Bookshop,
Commutator Calculus and Groups of Homotopy Classes
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Hans Joachim Baues

Commutator Calculus and Groups of Homotopy Classes

Hans Joachim Baues

$81.95

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English
Cambridge University Press
04 January 1982
Analytic topology
Series: London Mathematical Society Lecture Note Series
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.
By:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   50
Dimensions:   Height: 228mm,  Width: 152mm,  Spine: 10mm
Weight:   250g
ISBN:   9780521284240
ISBN 10:   0521284244
Series:   London Mathematical Society Lecture Note Series
Pages:   168
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
1. Commuter calculus; 2. Distributivity laws in homotopy theory; 3. Homotopy operations on spheres; 4. Higher order Hopf invariants on spheres; 5. The homotopy Lie algebra and the spherical cohomotopy algebra; 6. Groups of homotopy classes; 7. The Hilton-Milnor theorum and its dual.

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