On boundary discreteness of mappings with a modulus condition

Abstract

We study the boundary behavior of spatial mappings that distort the modulus of families of paths in the same way as the inverse Poletsky inequality. Under certain conditions on the boundaries of the corresponding domains, we have shown that such mappings have a continuous boundary extension. Separately, we study the problem of discreteness of the indicated extension. It is shown that under some requirements, it is light, and under some more strong conditions, it is discrete in the closure of a domain.