Geodesic
$D_\infty$-differential $A_\infty$-algebras
Sbornik. Mathematics, Tome 193 (2002) no. 1, pp. 119-142 
S. V. Lapin. $D_\infty$-differential $A_\infty$-algebras. Sbornik. Mathematics, Tome 193 (2002) no. 1, pp. 119-142. http://geodesic.mathdoc.fr/item/SM_2002_193_1_a4/
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     title = {$D_\infty$-differential $A_\infty$-algebras},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the present paper the construction of a $D_\infty$-differential $A_\infty$-(co)algebra is introduced and basic homotopy properties of this construction are studied. The connection between $D_\infty$-differential $A_\infty$-(co)algebras and spectral sequences is established, which enables us to construct the structure of an $A_\infty$ -coalgebra on the Milnor coalgebra directly from the differentials of the Adams spectral sequence.

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