relation: http://eprints.zu.edu.ua/13839/
title: О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности
creator: Севостьянов, Е. А.
subject: Математичний аналіз
description: For open discrete mappings f WD n fbg ! R3 of a domain D � R3 satisfying relatively general  geometric conditions in D n fbg and having an essential singularity at a point b 2 R3; we prove the  following statement: Let a point y0 belong to R3 n f .D n fbg/ and let the inner dilatation KI .x; f /  and outer dilatation KO.x; f / of the mapping f at the point x satisfy certain conditions. Let Bf  denote the set of branch points of the mapping f: Then, for an arbitrary neighborhood V of the point  y0; the set V \f .Bf / cannot be contained in a set A such that g.A/ D I; where I D ft 2 RW jt j < 1g  and gWU ! Rn is a quasiconformal mapping of a domain U � Rn such that A � U:
publisher: Національна академія наук
date: 2011
type: Стаття
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/13839/1/1.8.pdf
identifier:   Севостьянов, Е. А.  (2011) О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности.  Український математичний журнал, 63 (1).  с. 69-79.  ISSN 1027-3190     
language: russian