Commutator calculus and groups of homotopy classes
Commutator calculus and groups of homotopy classes:

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 al...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Baues, Hans J. 1943- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 1981
Schriftenreihe:London Mathematical Society lecture note series 50
Schlagworte:
Calculus
Homotopy theory
Homologietheorie
Abbildung > Mathematik
Homotopie
Abbildung > Physik
Online-Zugang:BSB01
FHN01
Volltext
Zusammenfassung: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
Beschreibung:Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Beschreibung:1 online resource (160 pages)
ISBN:9780511662706
DOI:10.1017/CBO9780511662706

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