Commutator Calculus and Groups of Homotopy Classes

Commutator Calculus and Groups of Homotopy Classes

eBook - 1981
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Cambridge Univ Pr
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.
In this work the author extends results of rational homotopy theory to a subring of the rationale.

Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1981
ISBN: 9781107361096
1107361095
9780511662706
051166270X
0521284244
9780521284240
Characteristics: 1 online resource (160 pages) : illustrations

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