%A ?. ?. Sevost?yanov
%A Vladimir Ryazanov
%J ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
%T On convergence and compactness of spatial homeomorphisms
%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.
%N 1
%K convergence, compactness, normality, homeomorphisms, moduli and
capacity.
%P 85-104
%V 18
%D 2013
%L zu213998