Bounded Turning in Möbius Structures Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2022, Volume: 63, Number: 5, Pages: 819-833 Pages count : 15 DOI: 10.1134/S0037446622050020 | ||
| Tags | 517.54; continuum with bounded turning; local connectedness; Möbius structure; Ptolemaic Möbius space; quasimöbius arc; quasimöbiusly connected space | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | 0314-2019-0007 |
Abstract:
We study a Möbius-invariant generalization, called BTR, of the classical property of bounded turning in a metric space which was introduced by Tukia and Väisälä in 1980 and suitable for use in Ptolemaic Möbius structures in the sense of Buyalo. In particular, we prove that every continuum with the BTR property, lying on the boundary of a domain in the complex plane, is locally connected.
Cite:
Aseev V.V.
Bounded Turning in Möbius Structures
Siberian Mathematical Journal. 2022. V.63. N5. P.819-833. DOI: 10.1134/S0037446622050020 WOS Scopus РИНЦ OpenAlex
Bounded Turning in Möbius Structures
Siberian Mathematical Journal. 2022. V.63. N5. P.819-833. DOI: 10.1134/S0037446622050020 WOS Scopus РИНЦ OpenAlex
Original:
Асеев В.В.
СВОЙСТВО ОГРАНИЧЕННОГО ИСКРИВЛЕНИЯ В МЕБИУСОВЫХ СТРУКТУРАХ
Сибирский математический журнал. 2022. Т.63. №5. С.975-993. DOI: 10.33048/smzh.2022.63.502 РИНЦ
СВОЙСТВО ОГРАНИЧЕННОГО ИСКРИВЛЕНИЯ В МЕБИУСОВЫХ СТРУКТУРАХ
Сибирский математический журнал. 2022. Т.63. №5. С.975-993. DOI: 10.33048/smzh.2022.63.502 РИНЦ
Identifiers:
| Web of science: | WOS:000863681600002 |
| Scopus: | 2-s2.0-85139178108 |
| Elibrary: | 51564665 |
| OpenAlex: | W4300594538 |
Citing:
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