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Adherence of the Images of Points Under Multivalued Quasimöbius Mappings Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2020, Volume: 61, Number: 3, Pages: 391-402 Pages count : 12 DOI: 10.1134/S0037446620030027
Tags multivalued mapping; Möbius space; Möbius structure; Ptolemaic semimetric; quasicon-formal mapping; quasimöbius mapping; ultrafilter
Authors Aseev V.V. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

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. © 2020, Pleiades Publishing, Ltd.
Cite: Aseev V.V.
Adherence of the Images of Points Under Multivalued Quasimöbius Mappings
Siberian Mathematical Journal. 2020. V.61. N3. P.391-402. DOI: 10.1134/S0037446620030027 WOS Scopus OpenAlex
Identifiers:
≡ Web of science: WOS:000540148300002
≡ Scopus: 2-s2.0-85086324785
≡ OpenAlex: W3034508327
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