On convergence and compactness of space homeomorphisms
arXiv:1207.1231
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 --homeomorphisms are obtained. In particular, it was established by us that a family of all ring --homeomorphisms in fixing two points is compact provided that the function is of finite mean oscillation. These results will have wide applications to Sobolev's mappings.
23 pages