%0 Journal Article
%@ 1027-3190
%A Севостьянов, Є. О.
%D 2010
%F zu2:13838
%I Національна академія наук
%J Український математичний журнал
%N 2
%P 215-230
%T О множествах точек ветвления отображений, более общих, чем квазирегулярные
%U http://eprints.zu.edu.ua/13838/
%V 62
%X It is shown that if a point x0 2 Rn; n � 3; is an essential isolated singularity of an open discrete  Q-mapping f WD ! Rn; Bf is the set of branch points of f in D; and a point z0 2 Rn is an  asymptotic limit of f at the point x0; then, for any neighborhood U containing the point x0; the  point z0 2 f .Bf  \ U/ provided that the function Q has either a finite mean oscillation at the point  x0 or a logarithmic singularity whose order does not exceed n