# On the convergence of spatial homeomorphisms

Author V. I. Ryazanov, E. A. Sevost'yanov
vl.ryazanov1@gmail.com, brusin2006@rambler.ru
Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine

Abstract Various theorems on the convergence of general spatial homeomorphisms are proved and, on this basis, convergence theorems for classes of the so-called ring $Q$--homeomorphisms are obtained. These results will have wide applications to Sobolev's mappings.
Keywords mappings with finite and bounded distortion; moduli of curves; homeomorphisms; convergence; space mappings
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Pages 34-44
Volume 39
Issue 1
Year 2013
Journal Matematychni Studii
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