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arXiv · 1101.5395

Spectral sequence operations converge to Araki-Kudo operations

Philip Hackney
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Abstract

Previously we constructed operations in the mod 2 homology spectral sequence associated to a cosimplicial E-infinity space X. The correct target for this spectral sequence is the homology of Tot X. Noting that in this setting Tot X is an E-infinity space, we show that our operations agree with the usual Araki-Kudo operations in the target. We also prove that the multiplication in the spectral sequence agrees with the multiplication in H_*(Tot X).

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Philip Hackney. 2012-12-20. Spectral sequence operations converge to Araki-Kudo operations. https://doi.org/10.1016/j.jpaa.2012.12.001

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