Geodesic
On the cochain complex of topological spaces
Sbornik. Mathematics, Tome 43 (1982) no. 1, pp. 133-144 
V. A. Smirnov. On the cochain complex of topological spaces. Sbornik. Mathematics, Tome 43 (1982) no. 1, pp. 133-144. http://geodesic.mathdoc.fr/item/SM_1982_43_1_a6/
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     url = {http://geodesic.mathdoc.fr/item/SM_1982_43_1_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $X$ be a topological space and $C^*(X; R)$ the cochain complex with coefficients in $R$. In this paper it is shown that one can define on $C^*(X; R)$ the structure of algebras over an $E_\infty$-operad, and the $B$-construction is carried out. The $B$-construction is an $E_\infty$-algebra that makes it possible to define an $E_\infty$-structure on the cochain complex of loop spaces. Bibliography: 8 titles.

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[5] Smirnov V. A., “Gomologii rassloennykh prostranstv”, UMN, 35:3 (1980), 227–230 | MR | Zbl

[6] Spener E., Algebraicheskaya topologiya, Mir, M., 1971 | MR

[7] Bordman Dzh., Fogt R., Gomotopicheski invariantnye algebraicheskie struktury na topologicheskikh prostranstvakh, Mir, M., 1977 | MR

[8] Gugenheim V. K. A. M., May T. P., “On the theory and applications of differatiable torsion products”, Mem. Amer. Math. Soc., 142 (1974) | MR | Zbl