The Ptolemaic Characteristic of Tetrads and Quasiregular Mappings Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 5, Pages: 995-1002 Pages count : 8 DOI: 10.1134/s0037446624050021 | ||
| Tags | mapping with bounded distortion, quasiregular mapping, quasimeromorphic mapping, quasim¨obius mapping, multivalued mapping, Ptolemaic characteristic of tetrads | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0005 |
Abstract:
We consider the Ptolemaic characteristic of quadruples of disjoint nonempty compact subsets (generalized tetrads). The main theorem of this article asserts that an arbitrary multivalued mapping F from Rn onto itself such that the images of distinct points are disjoint and each of them contains at most two distinct points is the inverse of a K-quasimeromorphic mapping if and only if F admits a controllable upper bound for the distortion of the Ptolemaic characteristic of tetrads.
Cite:
Aseev V.V.
The Ptolemaic Characteristic of Tetrads and Quasiregular Mappings
Siberian Mathematical Journal. 2024. V.65. N5. P.995-1002. DOI: 10.1134/s0037446624050021 WOS Scopus РИНЦ OpenAlex
The Ptolemaic Characteristic of Tetrads and Quasiregular Mappings
Siberian Mathematical Journal. 2024. V.65. N5. P.995-1002. DOI: 10.1134/s0037446624050021 WOS Scopus РИНЦ OpenAlex
Original:
Асеев В.В.
Птолемеева характеристика тетрад и квазирегулярные отображения
Сибирский математический журнал. 2024. Т.65. №5. С.785-794. DOI: 10.33048/smzh.2024.65.502 РИНЦ
Птолемеева характеристика тетрад и квазирегулярные отображения
Сибирский математический журнал. 2024. Т.65. №5. С.785-794. DOI: 10.33048/smzh.2024.65.502 РИНЦ
Dates:
| Submitted: | Feb 6, 2024 |
| Accepted: | Aug 20, 2024 |
| Published print: | Sep 25, 2024 |
| Published online: | Sep 25, 2024 |
Identifiers:
| Web of science: | WOS:001320442300009 |
| Scopus: | 2-s2.0-85204762923 |
| Elibrary: | 69920878 |
| OpenAlex: | W4402841962 |
Citing:
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