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Matematicheskie Zametki, 1977, Volume 21, Issue 4, Pages 557–564 (Mi mzm7985)  
This article is cited in 2 scientific papers (total in 2 papers)

Functor $D$ and strong homotopy

V. A. Smirnov

Moscow State Pedagogical Institute
Full-text PDF (615 kB) Citations (2)
Abstract: This paper studies functor $D$ and strong homotopy, introduced earlier by the author [1]. A theorem is proven on mappings, and the connection is established between the concepts of strong homotopy of DGA-mapping of coalgebras and functor $D$. As topological applications, in particular, it is shown that continuous mappings of the sphere $f,g:S^{2n-1}\to S^n$ have one and the same Hopf invariant if and only if the induced chain of mappings is strongly homotopic.
Received: 10.12.1974
English version:
Mathematical Notes, 1977, Volume 21, Issue 4, Pages 311–315
DOI: https://doi.org/10.1007/BF01787657
Bibliographic databases:
UDC: 513
Language: Russian
Citation: V. A. Smirnov, “Functor $D$ and strong homotopy”, Mat. Zametki, 21:4 (1977), 557–564; Math. Notes, 21:4 (1977), 311–315
Citation in format AMSBIB
\Bibitem{Smi77}
\by V.~A.~Smirnov
\paper Functor $D$ and strong homotopy
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 4
\pages 557--564
\mathnet{http://mi.mathnet.ru/mzm7985}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=488051}
\zmath{https://zbmath.org/?q=an:0406.55019|0354.55017}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 4
\pages 311--315
\crossref{https://doi.org/10.1007/BF01787657}
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  • https://www.mathnet.ru/eng/mzm/v21/i4/p557
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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