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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 499–512
DOI: https://doi.org/10.33048/smzh.2020.61.302 (Mi smj5997) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Adherence of the images of points under multivalued quasimöbius mappings

V. V. Aseev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (454 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2020.61.302
Abstract: We continue the study of multivalued mappings with the BAD (bounded angular distortion) property which was initiated in the author's works in 2018. Using the technique of ultrafilters, we obtain a full description for the mutual adherence domains of the images of points under mappings of BAD class. We exhibit the example that illustrates all possible cases in the general formula for adherence domains.
Keywords: multivalued mapping, Möbius structure, Möbius space, Ptolemaic semimetric, quasiconformal mapping, quasimöbius mapping, ultrafilter.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0007
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314-2019-0007).</p><p>Russian Text © The Author(s), 2020, published in Sibirskii Matematicheskii Zhurnal, 2020, Vol. 61, No. 3, pp. 499–512.
Received: 08.10.2019
Revised: 04.02.2020
Accepted: 19.02.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 391–402
DOI: https://doi.org/10.1134/S0037446620030027
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 35R30
Language: Russian
Citation: V. V. Aseev, “Adherence of the images of points under multivalued quasimöbius mappings”, Sibirsk. Mat. Zh., 61:3 (2020), 499–512; Siberian Math. J., 61:3 (2020), 391–402
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj5997
  • https://www.mathnet.ru/eng/smj/v61/i3/p499
    • This publication is cited in the following 2 articles:
    1. Zhiqiang Yang, Qingshan Zhou, “Topological Angles and Freely Quasiconformal Mappings in Real Banach Spaces”, Comput. Methods Funct. Theory, 23:2 (2023), 347  crossref
    2. V. V. Aseev, “Multivalued quasimöbius mappings from circle to circle”, Siberian Math. J., 62:1 (2021), 14–22  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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