D ∞-differential E ∞-algebras and Steenrod operations in spectral sequences.

This paper is devoted to the introduction of a D ∞-differential analog of the notion of an E ∞-(co)algebra and to the construction of generalized Steenrod operations in terms of multiplicative spectral sequences. In this paper, we investigate basic homotopy properties of D ∞-differential E ∞-(co)algebras and construct a spectral sequence of a D ∞-differential E ∞-(co)algebra. [ABSTRACT FROM AUTHOR]