Commutator calculus and groups of homotopy classes / Hans Joachim Baues.

Format:

Book

Author/Creator:

Baues, Hans J., 1943- author.

Series:

London Mathematical Society lecture note series ; 50.

London Mathematical Society lecture note series ; 50

Language:

English

Subjects (All):

Calculus.

Homotopy theory.

Physical Description:

1 online resource (160 pages) : digital, PDF file(s).

Other Title:

Commutator Calculus & Groups of Homotopy Classes

Place of Publication:

Cambridge : Cambridge University Press, 1981.

Language Note:

English

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.

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 156-158) and index.

ISBN:

1-139-88399-2

1-107-36600-3

1-107-37073-6

1-107-36109-5

1-107-36941-X

0-511-66270-X