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Mathematics of the USSR-Izvestiya, 1990, Volume 35, Issue 2, Pages 445–455
DOI: https://doi.org/10.1070/IM1990v035n02ABEH000713 (Mi im1289) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the chain complex of an iterated loop space

V. A. Smirnov
English version PDF (526 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM1990v035n02ABEH000713
Abstract: The notion of co-$B$-construction for a coalgebra over an operad is considered. It is shown that the singular chain complex of the $n$-fold loop space over an $n$-connected space $X$ can be expressed, using this construction, in terms of the singular chain complex of $X$.
Bibliography: 5 titles.
Received: 18.02.1988
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1989, Volume 53, Issue 5, Pages 1108–1119
Bibliographic databases:
UDC: 513.83
MSC: Primary 55P47; Secondary 55U15
Language: English
Original paper language: Russian
Citation: V. A. Smirnov, “On the chain complex of an iterated loop space”, Izv. Akad. Nauk SSSR Ser. Mat., 53:5 (1989), 1108–1119; Math. USSR-Izv., 35:2 (1990), 445–455
Citation in format AMSBIB
\Bibitem{Smi89}
\by V.~A.~Smirnov
\paper On the chain complex of an iterated loop space
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 5
\pages 1108--1119
\mathnet{http://mi.mathnet.ru/im1289}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1024456}
\zmath{https://zbmath.org/?q=an:0716.55011|0693.55006}
\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 2
\pages 445--455
\crossref{https://doi.org/10.1070/IM1990v035n02ABEH000713}
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  • https://doi.org/10.1070/IM1990v035n02ABEH000713
  • https://www.mathnet.ru/eng/im/v53/i5/p1108
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:227
    Russian version PDF:81
    English version PDF:5
    References:26
    First page:1
     
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