%0 Journal Article
%A Sevost’yanov, Е. А.
%A Ryazanov, Vladimir
%D 2013
%F zu2:13998
%J ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
%K convergence, compactness, normality, homeomorphisms, moduli and  capacity.
%N 1
%P 85-104
%T On convergence and compactness of spatial homeomorphisms
%U http://eprints.zu.edu.ua/13998/
%V 18
%X 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.