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This article is cited in 26 scientific papers (total in 26 papers)
On the cochain complex of topological spaces
V. A. Smirnov
Abstract:
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.
Received: 12.03.1980
Citation:
V. A. Smirnov, “On the cochain complex of topological spaces”, Math. USSR-Sb., 43:1 (1982), 133–144
Linking options:
https://www.mathnet.ru/eng/sm2379https://doi.org/10.1070/SM1982v043n01ABEH002437 https://www.mathnet.ru/eng/sm/v157/i1/p146
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