eprintid: 13839
rev_number: 28
eprint_status: archive
userid: 3588
dir: disk0/00/01/38/39
datestamp: 2014-11-10 09:14:43
lastmod: 2017-03-01 08:50:08
status_changed: 2017-03-01 08:48:26
type: article
metadata_visibility: show
title: О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности
language: russian
abstract: 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:
creators_name: Севостьянов, Е. А.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2011
date_type: published
publication: Український математичний журнал
volume: 63
number: 1
publisher: Національна академія наук
pagerange: 69-79
refereed: TRUE
issn: 1027-3190
citation:   Севостьянов, Е. А.  (2011) О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности.  Український математичний журнал, 63 (1).  с. 69-79.  ISSN 1027-3190     
document_url: http://eprints.zu.edu.ua/13839/1/1.8.pdf