Resumen de Spectral sequence operations converge to Araki-Kudo operations

Philip Hackney

• Previously, we constructed operations in the mod 2 homology spectral sequence associated to a cosimplicial E¡Ä-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¡Ä-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).