Spectral sequence operations converge to Araki-Kudo operations

Philip Hackney*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)1716-1739
Number of pages24
JournalJournal of Pure and Applied Algebra
Volume217
Issue number9
DOIs
Publication statusPublished - Sep 2013
Externally publishedYes

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