Sevost’yanov, Е. А.
(2012)
On the openness and discreteness of mappings with unbounded characteristic of quasiconformality.
Ukrainian Mathematical Journal, 63 (8).
pp. 12981305.
ISSN 00415995
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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