Homology operations and cosimplicial iterated loop spaces

Philip Hackney*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

If X is a cosimplical En+1 space then Tot(X) is an En+1 space and its mod 2 homology H-*(Tot(X)) has Dyer-Lashof and Browder operations. It's natural to ask if the spectral sequence converging to H-*(Tot(X)) admits compatible operations. In this paper we give a positive answer to this question.

Original languageEnglish
Pages (from-to)1-25
Number of pages25
JournalHomology, Homotopy and Applications
Volume16
Issue number1
DOIs
Publication statusPublished - 2014
Externally publishedYes

Keywords

  • Araki-Kudo operation
  • Browder operation
  • Dyer-Lashof operation
  • cosimplicial space
  • spectral sequence
  • MOORE SPECTRAL SEQUENCE

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