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The Algebra of Secondary Cohomology Operations

  • Hans-Joachim Baues

Part of the Progress in Mathematics book series (PM, volume 247)

Table of contents

  1. Front Matter
    Pages i-xxxii
  2. Secondary Cohomology and Track Calculus

  3. Products and Power Maps in Secondary Cohomology

  4. Back Matter
    Pages 429-483

About this book

Introduction

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 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.

Keywords

Algebra Algebraic topology Cohomology theory Homotopy Homotopy group cohomology homology

Authors and affiliations

  • Hans-Joachim Baues
    • 1
  1. 1.Max-Planck-Institut für MathematikBonnGermany

Bibliographic information

  • DOI https://doi.org/10.1007/3-7643-7449-7
  • Copyright Information Birkhäuser Verlag 2006
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-7448-8
  • Online ISBN 978-3-7643-7449-5
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site