Spectral sequence operations converge to Araki-Kudo operations

• Autores: Philip Hackney
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 9, 2013, págs. 1716-1739
• Idioma: inglés
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• Resumen

  • 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).