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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 3, Pages 63–75 (Mi vngu50)  
The Kuz'minov–Shvedov addition lemma in a quasi-abelian category

Ya. A. Kopylovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: We study the question of the validity in a quasi-abelian category of some diagram lemma proved by Kuz'minov and Shvedov in 1994 for abelian groups and used by them as a tool for calculating the reduced $L_p$-cohomology of Riemannian manifolds.
Keywords: strict morphism, quasi-abelian category, homology, pullback.
Received: 07.06.2002
English version:
Journal of Mathematical Sciences, 2012, Volume 186, Issue 3, Pages 426–437
DOI: https://doi.org/10.1007/s10958-012-0997-7
Document Type: Article
UDC: 512.66
Language: Russian
Citation: Ya. A. Kopylov, “The Kuz'minov–Shvedov addition lemma in a quasi-abelian category”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:3 (2010), 63–75; J. Math. Sci., 186:3 (2012), 426–437
Citation in format AMSBIB
\Bibitem{Kop10}
\by Ya.~A.~Kopylov
\paper The Kuz'minov--Shvedov addition lemma in a quasi-abelian category
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 3
\pages 63--75
\mathnet{http://mi.mathnet.ru/vngu50}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 186
\issue 3
\pages 426--437
\crossref{https://doi.org/10.1007/s10958-012-0997-7}
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