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On convergence of homeomorphisms with inverse modulus inequality
Published 4 Jun 2024 in math.CV | (2406.02692v1)
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.
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