"13839","28","archive","3588",,,"disk0/00/01/38/39","2014-11-10 09:14:43","2017-03-01 08:50:08","2017-03-01 08:48:26","article",,,"show",,,,"","","","","","","","","","",,,,"О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности","russian","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:",,,,,,,"","","","",,,,,,,"Севостьянов","Е. А.","","","","","pub","QA77","sch_man","public",,,,,"2011","published",,"Український математичний журнал","63","1","Національна академія наук",,"69-79",,,,,,,,,,,"TRUE",,"1027-3190",,,,,,"",,"","",,"","",,,,,,"",,,,,,,"",,,,,"",,,,,"","",,,,,"","",