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arXiv · 2406.02692

On convergence of homeomorphisms with inverse modulus inequality

Evgeny Sevost'yanov·Valery Targonskii
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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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Evgeny Sevost'yanov, Valery Targonskii. 2024-06-04. On convergence of homeomorphisms with inverse modulus inequality. https://arxiv.org/abs/2406.02692

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