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Commutator Calculus and Groups of Homotopy Classes von Baues, Hans Joachim (eBook)

  • Erscheinungsdatum: 05.11.1981
  • Verlag: Cambridge University Press
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Commutator Calculus and Groups of Homotopy Classes

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.


    Format: PDF
    Kopierschutz: AdobeDRM
    Erscheinungsdatum: 05.11.1981
    Sprache: Englisch
    ISBN: 9780511892073
    Verlag: Cambridge University Press
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