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<p>We prove that the uniform limit of open, discrete mappings satisfying an inverse Poletsky modular inequality is either constant or open, discrete. We extend in this way some known facts from the theory of quasiregular mappings.</p>

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On the Limit Mapping of a Sequence of Open, Discrete Mappings Satisfying an Inverse Poletsky Modular Inequality

  • 期刊论文

  • 发表日期：

    2025年8月22日

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  • Mihai Cristea

摘要

We prove that the uniform limit of open, discrete mappings satisfying an inverse Poletsky modular inequality is either constant or open, discrete. We extend in this way some known facts from the theory of quasiregular mappings.