Geodesic
$D_\infty$-differential $E_\infty$-algebras and spectral sequences of $D_\infty$-differential modules
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 8, pp. 105-125.

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In the present paper, we introduce the concept of a filtered $E_\infty$-algebra, construct spectral sequences for such algebras, and apply them to multiplicative cohomological spectral sequences of bundles. The existence of the structure of $D_\infty$-differential $A_\infty$-algebra in cohomological spectral sequences of bundles over fields is proved and the initial multiplicative component of this structure at the second term of the spectral sequence is calculated. 
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S. V. Lapin. $D_\infty$-differential $E_\infty$-algebras and spectral sequences of $D_\infty$-differential modules. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 8, pp. 105-125. http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a7/

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