Spectral sequence operations converge to Araki-Kudo operations
Algebraic Topology
2013-09-10 v3
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).
Keywords
Cite
@article{arxiv.1101.5395,
title = {Spectral sequence operations converge to Araki-Kudo operations},
author = {Philip Hackney},
journal= {arXiv preprint arXiv:1101.5395},
year = {2013}
}
Comments
Final version