ON THE ORLICZ COHOMOLOGY OF STAR-BOUNDED SIMPLICIAL COMPLEXES Full article
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Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2021, Volume: 18, Number: 1, Pages: 710-719 Pages count : 10 DOI: 10.33048/semi.2021.18.051 | ||
| Tags | differential form; Orlicz cohomology; Orlicz-Sullivan complex; star-bounded complex | ||
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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 Lp case proved by Gol'dshtein, Kuz'minov, and Shvedov in 1988.
Cite:
Kopylov Y.A.
ON THE ORLICZ COHOMOLOGY OF STAR-BOUNDED SIMPLICIAL COMPLEXES
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N1. P.710-719. DOI: 10.33048/semi.2021.18.051 WOS Scopus OpenAlex
ON THE ORLICZ COHOMOLOGY OF STAR-BOUNDED SIMPLICIAL COMPLEXES
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N1. P.710-719. DOI: 10.33048/semi.2021.18.051 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000674359600001 |
| Scopus: | 2-s2.0-85108839819 |
| OpenAlex: | W3201005705 |