Sevost’yanov, Е. А.
(2012)
On the openness and discreteness of mappings with unbounded characteristic of quasiconformality.
Ukrainian Mathematical Journal, 63 (8).
pp. 1298-1305.
ISSN 0041-5995
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/:
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