Geodesic
$D$ Functor for tensor cross products
Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 465-472.

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A natural equivalence relation between crossing cochains and the concept of a strong homotopy of DGA-mappings of co-algebras is introduced. An obstruction theory is constructed for this equivalence relation and a homotopical classification theorem for tensor cross products is proved. 
@article{MZM_1976_20_4_a0,
     author = {V. A. Smirnov},
     title = {$D$ {Functor} for tensor cross products},
     journal = {Matemati\v{c}eskie zametki},
     pages = {465--472},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a0/}
}
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V. A. Smirnov. $D$ Functor for tensor cross products. Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 465-472. http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a0/