Commutator Calculus and Groups of Homotopy Classes e-bog
403,64 DKK
(inkl. moms 504,55 DKK)
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 cla...
E-bog
403,64 DKK
Forlag
Cambridge University Press
Udgivet
22 marts 2011
Genrer
PBPH
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9780511892073
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.