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The Algebra Of Secondary Cohomology Operations at Meripustak

The Algebra Of Secondary Cohomology Operations

Books from same Author: Hans-Joachim Baues

Books from same Publisher: Springer

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    • General Information  
    Author(s)Hans-Joachim Baues
    PublisherSpringer
    ISBN9783764374488
    Pages484
    BindingHardback
    LanguageEnglish
    Publish YearMay 2006

    Description

    Springer The Algebra Of Secondary Cohomology Operations by Hans-Joachim Baues

    The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a new and unexpected way. _x000D__x000D__x000D_The book solves a long-standing problem on the algebra of secondary cohomology operations by developing a new algebraic theory of such operations. The results have strong impact on the Adams spectral sequence and hence on the computation of homotopy groups of spheres._x000D_ _x000D_Secondary Cohomology and Track Calculus.- Primary Cohomology Operations.- Track Theories and Secondary Cohomology Operations.- Calculus of Tracks.- Stable Linearity Tracks.- The Algebra of Secondary Cohomology Operations.- Products and Power Maps in Secondary Cohomology.- The Algebra Structure of Secondary Cohomology.- The Borel Construction and Comparison Maps.- Power Maps and Power Tracks.- Secondary Relations for Power Maps.- Kunneth Tracks and Kunneth-Steenrod Operations.- The Algebra of ?-tracks.- Secondary Hopf Algebras.- The Action of ? on Secondary Cohomology.- Interchange and the Left Action.- The Uniqueness of the Secondary Hopf Algebra ?.- Computation of the Secondary Hopf Algebra ?._x000D_