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Zapiski Nauchnykh Seminarov LOMI, 1985, Volume 143, Pages 69–109 (Mi znsl4918)  
This article is cited in 38 scientific papers (total in 38 papers)

Foundations of the theory of bounded cohomology

N. V. Ivanov
Full-text PDF (2268 kB) Citations (38)
Abstract: In this paper we give a new approach to the theory of bounded cohomology. The ideas of relative homological algebra, modified so that they are based on a natural seminorm in the bounded cohomology, play a central role in this approach. Moreover, a new proof is given of the vanishing theorem in the bounded cohomology of simply connected spaces, and also an analog of Leray's theorem on coverings in the theory of bounded cohomology.
English version:
Journal of Soviet Mathematics, 1987, Volume 37, Issue 3, Pages 1090–1115
DOI: https://doi.org/10.1007/BF01086634
Bibliographic databases:
Document Type: Article
UDC: 512.66, 515.14
Language: Russian
Citation: N. V. Ivanov, “Foundations of the theory of bounded cohomology”, Investigations in topology. Part V, Zap. Nauchn. Sem. LOMI, 143, "Nauka", Leningrad. Otdel., Leningrad, 1985, 69–109; J. Soviet Math., 37:3 (1987), 1090–1115
Citation in format AMSBIB
\Bibitem{Iva85}
\by N.~V.~Ivanov
\paper Foundations of the theory of bounded cohomology
\inbook Investigations in topology. Part~V
\serial Zap. Nauchn. Sem. LOMI
\yr 1985
\vol 143
\pages 69--109
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4918}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=806562}
\zmath{https://zbmath.org/?q=an:0573.55007}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 37
\issue 3
\pages 1090--1115
\crossref{https://doi.org/10.1007/BF01086634}
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    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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