Abstract
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.
Citation
Philip Hackney. "Homology operations and cosimplicial iterated loop spaces." Homology Homotopy Appl. 16 (1) 1 - 25, 2014.
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