%0 Journal Article
%@ 1027-3190
%A Севостьянов, Е. А.
%D 2011
%F zu2:13839
%I Національна академія наук
%J Український математичний журнал
%N 1
%P 69-79
%T О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности
%U http://eprints.zu.edu.ua/13839/
%V 63
%X 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: