Geodesic
Homotopy theory of coalgebras
Izvestiya. Mathematics , Tome 27 (1986) no. 3, pp. 575-592

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This paper makes a study of operads and of coalgebras over operads. Certain operads $E_n$ and $E$ are defined, constituting the algebraic analogues of the "little $n$-cube" operads; it is then shown that the singular chain complex $C_*(X;R)$ of a topological space $X$ is a coalgebra over the operad $E$, and that this structure completely determines the weak homotopy type of the space. Bibliography: 26 titles. 
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     author = {V. A. Smirnov},
     title = {Homotopy theory of coalgebras},
     journal = {Izvestiya. Mathematics },
     pages = {575--592},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1986_27_3_a7/}
}
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V. A. Smirnov. Homotopy theory of coalgebras. Izvestiya. Mathematics , Tome 27 (1986) no. 3, pp. 575-592. http://geodesic.mathdoc.fr/item/IM2_1986_27_3_a7/