%0 Journal Article
%@ 0041-5995
%A Sevost’yanov, Е. А.
%D 2012
%F zu2:13834
%I Springer US
%J Ukrainian Mathematical Journal
%N 8
%P 1298-1305
%T On the openness and discreteness of mappings with unbounded characteristic of quasiconformality
%U http://eprints.zu.edu.ua/13834/
%V 63
%X The paper is devoted to the investigation of topological properties of space mappings. It is shown that orientation-  preserving mappings f WD ! Rn in a domain D � Rn; n � 2; which are more general than  mappings with bounded distortion, are open and discrete if a function Q corresponding to the control of  the distortion of families of curves under these mappings has slow growth in the domain f .D/; e.g., if  Q has finite mean oscillation at an arbitrary point y0 2 f .D/: