The Algebra of Secondary Cohomology Operations

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. The bo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Baues, Hans-Joachim (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2006.
Edición:1st ed. 2006.
Colección:Progress in Mathematics, 247
Temas:
Algebra.
Algebraic topology.
Algebraic Topology.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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
  • Künneth Tracks and Künneth-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 ?.

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