Overview
- Solution of a long-standing problem on the algebra of secondary cohomology operation
- New algebraic theory of secondary cohomology operations
Part of the book series: Progress in Mathematics (PM, volume 247)
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Table of contents (16 chapters)
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Front Matter
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Secondary Cohomology and Track Calculus
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Front Matter
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Products and Power Maps in Secondary Cohomology
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: The Algebra of Secondary Cohomology Operations
Authors: Hans-Joachim Baues
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/3-7643-7449-7
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2006
Hardcover ISBN: 978-3-7643-7448-8Published: 17 March 2006
eBook ISBN: 978-3-7643-7449-5Published: 12 June 2006
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XXXII, 484
Topics: Algebra, Algebraic Topology