Homology operations and cosimplicial iterated loop spaces

Abstract

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

References in corpus (2)

• Operations in the homology spectral sequence of a cosimplicial infinite loop space
• Spectral sequence operations converge to Araki-Kudo operations

Cited by in corpus (2)

• Operations in the homology spectral sequence of a cosimplicial infinite loop space
• Spectral sequence operations converge to Araki-Kudo operations