relation: http://eprints.zu.edu.ua/13834/ title: On the openness and discreteness of mappings with unbounded characteristic of quasiconformality creator: Sevost’yanov, Е. А. subject: Математичний аналіз description: 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/: publisher: Springer US date: 2012 type: Стаття type: PeerReviewed format: text language: uk identifier: http://eprints.zu.edu.ua/13834/1/UMJ_10.pdf identifier: Sevost’yanov, Е. А. (2012) On the openness and discreteness of mappings with unbounded characteristic of quasiconformality. Ukrainian Mathematical Journal, 63 (8). с. 1298-1305. ISSN 0041-5995 language: english