Homotopy theory of coalgebras

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.