Commutator Calculus and Groups of Homotopy Classes

By:

Hans-Joachim Baues

Format:

Paperback / softback

Series:

London Mathematical Society Lecture Note Series,

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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.

Release date NZ

November 5th, 1981

Author

Hans-Joachim Baues

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises

Pages

168

Series

London Mathematical Society Lecture Note Series,

Dimensions

152x228x10

ISBN-13

9780521284240

Product ID

2036149

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