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). (C) 2012 Elsevier B.V. All rights reserved.
Original language | English |
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Pages (from-to) | 1716-1739 |
Number of pages | 24 |
Journal | Journal of Pure and Applied Algebra |
Volume | 217 |
Issue number | 9 |
DOIs | |
Publication status | Published - Sep 2013 |
Externally published | Yes |