LMS: 50 Commutator Calculus (London Mathematical Society Lecture Note Series, Series Number 50) - Softcover

Baues, Hans Joachim

Softcover

ISBN 10: 0521284244 ISBN 13: 9780521284240

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

Book Description

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• Language: English
• ISBN 10: 0521284244
• ISBN 13: 9780521284240
• Binding: Paperback
• Edition number: 1
• Number of pages: 168