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

By:

Baues, Hans J, 1943-

Material type: Text

TextSeries: London Mathematical Society lecture note series ; 50.Publication details: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1981.Description: 1 online resource (160 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781107361096
1107361095
9780511662706
051166270X

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Print version:: Commutator calculus and groups of homotopy classes.DDC classification:

515 22

LOC classification:

QA303 .B35 1981eb

Other classification:

31.61

Online resources:

Click here to access online

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.

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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

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

Print version record.

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.

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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