Homology operations and cosimplicial iterated loop spaces
Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 1-25.

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

If $X$ is a cosimplical $E_{n+1}$ space then $\operatorname{Tot}(X)$ is an $E_{n+1}$ space and its mod 2 homology $H_*(\operatorname{Tot}(X))$ has Dyer-Lashof and Browder operations. It’s natural to ask if the spectral sequence converging to $H_*(\operatorname{Tot}(X))$ admits compatible operations. In this paper we give a positive answer to this question.
DOI : 10.4310/HHA.2014.v16.n1.a1
Classification : 55S12, 55T20
Keywords: Araki-Kudo operation, Browder operation, Dyer-Lashof operation, cosimplicial space, spectral sequence
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Philip Hackney. Homology operations and cosimplicial iterated loop spaces. Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 1-25. doi : 10.4310/HHA.2014.v16.n1.a1. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n1.a1/

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