Homology operations and cosimplicial iterated loop spaces

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 I give a positive answer to this question.

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