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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 710–719
DOI: https://doi.org/10.33048/semi.2021.18.051 (Mi semr1392) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Real, complex and functional analysis

On the Orlicz cohomology of star-bounded simplicial complexes

Ya. A. Kopylov

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.051
Abstract: We prove that the Whitney transformation induces an isomorphism between the Orlicz cohomology of a star-bounded simplicial complex and the cohomology of the corresponding Orlicz–Sullivan complex. Our main result is an extension of the isomorphism in the $L_p$ case proved by Gol'dshtein, Kuz'minov, and Shvedov in 1988.
Keywords: star-bounded complex, Orlicz–Sullivan complex, differential form, Orlicz cohomology.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0006
The work of the author was carried out in the framework of the State Contract of the Sobolev Institute of Mathematics (Project 0314–2019–0006).
Received July 14, 2020, published June 18, 2021
Bibliographic databases:
Document Type: Article
UDC: 517
MSC: 46E30
Language: English
Citation: Ya. A. Kopylov, “On the Orlicz cohomology of star-bounded simplicial complexes”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 710–719
Citation in format AMSBIB
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\by Ya.~A.~Kopylov
\paper On the~Orlicz cohomology of~star-bounded simplicial complexes
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 710--719
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\crossref{https://doi.org/10.33048/semi.2021.18.051}
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