Commutator Calculus and Groups of Homotopy Classes / Hans Joachim Baues.
Material type: TextSeries: London Mathematical Society Lecture Note Series ; no. 50Publisher: Cambridge : Cambridge University Press, 1981Description: 1 online resource (168 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511662706 (ebook)Other title: Commutator Calculus & Groups of Homotopy ClassesSubject(s): Calculus | Homotopy theoryAdditional physical formats: Print version: : No titleDDC classification: 515 LOC classification: QA303 | .B35 1981Online resources: Click here to access online 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.Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK12203 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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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