eprintid: 13998
rev_number: 14
eprint_status: archive
userid: 3588
dir: disk0/00/01/39/98
datestamp: 2014-11-14 09:02:36
lastmod: 2015-08-15 10:16:49
status_changed: 2014-11-14 09:02:36
type: article
metadata_visibility: show
title: On convergence and compactness of spatial homeomorphisms
language: english
abstract: Various theorems on convergence of general space homeomorphisms are proved and, on this basis, theorems on convergence and compactness for classes of the
so-called ring Q-homeomorphisms are obtained. In particular, it was established
by us that a family of all ring Q-homeomorphisms f in Rn �xing two points is
compact provided that the function Q is of �nite mean oscillation. These results
will have broad applications to Sobolev's mappings.
keywords: convergence, compactness, normality, homeomorphisms, moduli and
capacity.
creators_name: Sevost’yanov, Е. А.
creators_name: Ryazanov, Vladimir
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2013
date_type: published
publication: ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
volume: 18
number: 1
pagerange: 85-104
refereed: TRUE
citation:   Sevost’yanov, Е. А., Ryazanov, Vladimir  (2013) On convergence and compactness of spatial homeomorphisms.  ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 18 (1).  с. 85-104.      
document_url: http://eprints.zu.edu.ua/13998/1/Rrc13_1.pdf