Operations in the homology spectral sequence of a cosimplicial infinite loop space

Philip Hackney*

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Consider the mod 2 homology spectral sequence associated to a cosimplicial space X. We construct external operations whose target is the spectral sequence associated to E Sigma(2) x (Sigma 2) (X x X). If X is a cosimplicial E-infinity-space, we couple these external operations with the structure map

E Sigma(2) x (Sigma 2)(X x X) -> X

to produce internal operations in the spectral sequence. In the sequel we show that they agree with the usual Araki-Kudo operations on the abutment H-* (Tot X). (C) 2012 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)1350-1377
Number of pages28
JournalJournal of Pure and Applied Algebra
Volume217
Issue number7
DOIs
Publication statusPublished - Jul 2013
Externally publishedYes

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