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2009 The hunting of the Hopf ring
Andrew Stacey, Sarah Whitehouse
Homology Homotopy Appl. 11(2): 75-132 (2009).

Abstract

We provide a new algebraic description of the structure on the set of all unstable cohomology operations for a suitable generalised cohomology theory, $E*(–)$. Our description is as a graded and completed version of a Tall-Wraith monoid. The $E*$-cohomology of a space $X$ is a module for this Tall-Wraith monoid. We also show that the corresponding Hopf ring of unstable co-operations is a module for the Tall-Wraith monoid of unstable operations. Further examples are provided by considering operations from one theory to another.

Citation

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Andrew Stacey. Sarah Whitehouse. "The hunting of the Hopf ring." Homology Homotopy Appl. 11 (2) 75 - 132, 2009.

Information

Published: 2009
First available in Project Euclid: 1 September 2009

zbMATH: 1194.55019
MathSciNet: MR2559638

Subjects:
Primary: 55S25
Secondary: 16W99, 55N20

Rights: Copyright © 2009 International Press of Boston

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Vol.11 • No. 2 • 2009
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