Progress in Mathematics

By: Hans-Joachim Baues

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Hardcover | 17 March 2006

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520 Pages

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22.86 x 15.88 x 2.54

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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.

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You Can Find This Book In

Non-Fiction Mathematics Algebra Topology Algebraic Topology Geometry Algebraic Geometry

Primary cohomology operations
Track theories and secondary cohomology operations
Calculus of tracks
Stable linearity tracks
The algebra of secondary cohomology operations
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 [Delta]-tracks
Secondary Hopf algebras
The action of B on secondary cohomology
Interchange and the left action
The uniqueness of the secondary Hopf algebra B
Computation of the secondary Hopf algebra [beta]
Table of Contents provided by Blackwell. All Rights Reserved.

Progress in Mathematics

At a Glance

Hardcover

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You Can Find This Book In

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