On Convergence of a Sequence of Mappings with Inverse Modulus Inequality to a Discrete Mapping
摘要
We study mappings satisfying the inverse Poletsky-type inequality in a domain of the Euclidean space. It is proved that the uniform limit of the family of these mappings is a discrete mapping. The cases of domains locally connected on their boundaries and domains regular in the quasiconformal sense are considered separately.