Spectral sequence operations converge to Araki-Kudo operations

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).

Final version

References in corpus (2)

• Operations in the homology spectral sequence of a cosimplicial infinite loop space
• Homology operations and cosimplicial iterated loop spaces

Cited by in corpus (2)

• Operations in the homology spectral sequence of a cosimplicial infinite loop space
• Homology operations and cosimplicial iterated loop spaces