COMMUTATOR CALCULUS AND GROUPS OF HOMOTOPY CLASSES by Hans-Joachim Baues ( 9780521284240 )

Item Details

Title:

COMMUTATOR CALCULUS AND GROUPS OF HOMOTOPY CLASSES

By:

Hans-Joachim Baues

Format:

Paperback

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£41.99

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£36.74

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ISBN 10:

0521284244

ISBN 13:

9780521284240

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

5 November, 1981

Series:

London Mathematical Society Lecture Note Series 50

Pages:

168

Description:

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

Synopsis:

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.

Illustrations:

bibliography, index; bibliography, index

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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