@article{zu213998, volume = {18}, number = {1}, title = {On convergence and compactness of spatial homeomorphisms}, author = {?. ?. Sevost?yanov and Vladimir Ryazanov}, year = {2013}, pages = {85--104}, journal = {ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS}, keywords = {convergence, compactness, normality, homeomorphisms, moduli and capacity.}, url = {http://eprints.zu.edu.ua/13998/}, 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.} }