Tensor product of Massey product (Q2431881)

For a connected coassociative coalgebra \(V\) and a DGA \(D\), the author defines a realization of \(V\) on \(D\) to be a collection of linear maps satisfying certain properties with respect to the diagonal map \(\Delta:V\rightarrow V\otimes V\) and the differential on \(D\). He explains how realizations are related to generalizations of Massey products such as those of [\textit{Q. B. Zheng}, J. Algebra 183, 2, 378--395 (1996; Zbl 0859.57041)]. When \(D\) is the cobar complex of a Hopf algebra, he defines the tensor product of realizations and shows that it is commutative up to homotopy and is strictly associative.