Abstract
The homotopy theory of ∞-simplicial coalgebras is developed; in terms of this theory, an additional structure on the tensor bigraded coalgebra of a graded module is described such that endowing the coalgebra with this structure is equivalent to endowing the given graded module with the structure of a homotopy unital A ∞-algebra.
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Original Russian Text © S. V. Lapin, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 1, pp. 55–77.
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Lapin, S.V. Homotopy properties of ∞-simplicial coalgebras and homotopy unital supplemented A ∞-algebras. Math Notes 99, 63–81 (2016). https://doi.org/10.1134/S0001434616010077
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DOI: https://doi.org/10.1134/S0001434616010077