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Mathematics of the USSR-Sbornik, 1982, Volume 43, Issue 1, Pages 133–144
DOI: https://doi.org/10.1070/SM1982v043n01ABEH002437
(Mi sm2379)
 

This article is cited in 26 scientific papers (total in 26 papers)

On the cochain complex of topological spaces

V. A. Smirnov
References:
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
Bibliographic databases:
UDC: 513.836
MSC: Primary 55U15; Secondary 55R20, 55T10, 55U25, 18G35
Language: English
Original paper language: Russian
Citation: V. A. Smirnov, “On the cochain complex of topological spaces”, Math. USSR-Sb., 43:1 (1982), 133–144
Citation in format AMSBIB
\Bibitem{Smi81}
\by V.~A.~Smirnov
\paper On the cochain complex of topological spaces
\jour Math. USSR-Sb.
\yr 1982
\vol 43
\issue 1
\pages 133--144
\mathnet{http://mi.mathnet.ru/eng/sm2379}
\crossref{https://doi.org/10.1070/SM1982v043n01ABEH002437}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=618592}
\zmath{https://zbmath.org/?q=an:0509.55012}
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  • https://doi.org/10.1070/SM1982v043n01ABEH002437
  • https://www.mathnet.ru/eng/sm/v157/i1/p146
  • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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