LMS: 50 Commutator Calculus

LMS: 50 Commutator Calculus  book cover

LMS: 50 Commutator Calculus

Author(s): Hans Joachim Baues (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 21 Aug. 2008
  • Edition: 1st
  • Language: English
  • Print length: 168 pages
  • ISBN-10: 9780521284240
  • ISBN-13: 0521284244

Book Description

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.

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Book Description

In this work the author extends results of rational homotopy theory to a subring of the rationale.

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