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Mathematics of the USSR-Izvestiya, 1986, Volume 27, Issue 3, Pages 575–592
DOI: https://doi.org/10.1070/IM1986v027n03ABEH001194 (Mi im1402) 		 
This article is cited in 27 scientific papers (total in 27 papers)

Homotopy theory of coalgebras

V. A. Smirnov
English version PDF (963 kB) Citations (27)
References:
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DOI: https://doi.org/10.1070/IM1986v027n03ABEH001194
Abstract: 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.
Received: 04.11.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1985, Volume 49, Issue 6, Pages 1302–1321
Bibliographic databases:
UDC: 513.836
MSC: Primary 55P15, 55P47; Secondary 55U35, 18G30
Language: English
Original paper language: Russian
Citation: V. A. Smirnov, “Homotopy theory of coalgebras”, Izv. Akad. Nauk SSSR Ser. Mat., 49:6 (1985), 1302–1321; Math. USSR-Izv., 27:3 (1986), 575–592
Citation in format AMSBIB
\Bibitem{Smi85}
\by V.~A.~Smirnov
\paper Homotopy theory of coalgebras
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1985
\vol 49
\issue 6
\pages 1302--1321
\mathnet{http://mi.mathnet.ru/im1402}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=816858}
\zmath{https://zbmath.org/?q=an:0612.55012|0595.55008}
\transl
\jour Math. USSR-Izv.
\yr 1986
\vol 27
\issue 3
\pages 575--592
\crossref{https://doi.org/10.1070/IM1986v027n03ABEH001194}
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:435
    Russian version PDF:254
    English version PDF:17
    References:51
    First page:1
     
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