English

Homology operations and cosimplicial iterated loop spaces

Algebraic Topology 2014-02-20 v2

Abstract

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

Keywords

Cite

@article{arxiv.1102.0020,
  title  = {Homology operations and cosimplicial iterated loop spaces},
  author = {Philip Hackney},
  journal= {arXiv preprint arXiv:1102.0020},
  year   = {2014}
}
R2 v1 2026-06-21T17:19:39.928Z