This article is cited 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

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.

UDC: 517.54

MSC: 35R30

Received: 08.10.2019
Revised: 04.02.2020
Accepted: 19.02.2020

DOI: 10.33048/smzh.2020.61.302

 English version: Siberian Mathematical Journal, 2020, 61:3, 391–402

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