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E-book
Author Baues, Hans J., 1943-

Title Commutator calculus and groups of homotopy classes / Hans Joachim Baues
Published Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1981

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Description 1 online resource (160 pages) : illustrations
Series London Mathematical Society lecture note series, 0076-0552 ; 50
London Mathematical Society lecture note series ; 50. 0076-0552
Contents pt. A. Homotopy operations, nilpotent group theory and nilpotent Lie algebra theory -- pt. B. Homotopy theory over a subring R of the rationals Q with 1/2, 1/3 [mathematical symbol] R
Summary 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
Bibliography Includes bibliographical references (pages 156-158) and index
Notes Print version record
Subject Calculus.
Homotopy theory.
calculus.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Calculus
Homotopy theory
Homotopie.
Form Electronic book
ISBN 9781107361096
1107361095
9780511662706
051166270X