@article{zu213834, volume = {63}, number = {8}, author = {?. ?. Sevost?yanov}, title = {On the openness and discreteness of mappings with unbounded characteristic of quasiconformality}, publisher = {Springer US}, journal = {Ukrainian Mathematical Journal}, pages = {1298--1305}, year = {2012}, url = {http://eprints.zu.edu.ua/13834/}, abstract = {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/:} }