On convergence of homeomorphisms with inverse modulus inequality

Abstract

We have studied homeomorphisms that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform limit of the family of such homeomorphisms is either a homeomorphism into the Euclidean space, or a constant in the extended Euclidean space.

arXiv commentarXiv admin note: text overlap with arXiv:2405.09012