Geodesic
The hunting of the Hopf ring
Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 75-132.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2009.v11.n2.a6
Classification : 55S25, 16Wxx, 55N20
Keywords: unstable cohomology operations, Hopf ring 
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Andrew Stacey; Sarah Whitehouse. The hunting of the Hopf ring. Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 75-132. doi : 10.4310/HHA.2009.v11.n2.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a6/

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