@article{zu213839, volume = {63}, number = {1}, author = {?. ?. ???????????}, title = {? ?????? ????????? ?????????? ??????????? ? ?????????????? ??????????????? ????????????????}, publisher = {??????????? ???????? ????}, journal = {??????????? ???????????? ??????}, pages = {69--79}, year = {2011}, url = {http://eprints.zu.edu.ua/13839/}, 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 {$\backslash$}f .Bf / cannot be contained in a set A such that g.A/ D I; where I D ft 2 RW jt j {\ensuremath{<}} 1g and gWU ! Rn is a quasiconformal mapping of a domain U ? Rn such that A ? U:} }