eprintid: 13834
rev_number: 15
eprint_status: archive
userid: 3588
dir: disk0/00/01/38/34
datestamp: 2014-11-10 09:10:41
lastmod: 2015-08-15 10:02:04
status_changed: 2014-11-10 09:10:41
type: article
metadata_visibility: show
title: On the openness and discreteness of mappings with unbounded characteristic of quasiconformality
language: english
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/:
creators_name: Sevost’yanov, Е. А.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2012
date_type: published
publication: Ukrainian Mathematical Journal
volume: 63
number: 8
publisher: Springer US
pagerange: 1298-1305
refereed: TRUE
issn: 0041-5995
citation:   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     
document_url: http://eprints.zu.edu.ua/13834/1/UMJ_10.pdf