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arxiv: 1102.0020 · v2 · pith:4TP3HUXJnew · submitted 2011-01-31 · 🧮 math.AT

Homology operations and cosimplicial iterated loop spaces

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keywords operationshomologyspaceadmitsanswerbrowdercompatibleconverging
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If X is a cosimplical $E_{n+1}$ space then Tot(X) is an $E_{n+1}$ space and its mod 2 homology $H_*(Tot(X))$ has Dyer-Lashof and Browder operations. It's natural to ask if the spectral sequence converging to $H_*(Tot(X))$ admits compatible operations. In this paper I give a positive answer to this question.

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