Abstract We study the branch set of a mapping between subsets of ℝ n {\mathbb{R}^{n}} , i.e., the set where a given mapping is not defining a local homeomorphism. We construct several sharp examples showing that the branch set or its image can have positive measure.

中文翻译：

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有限失真的映射：分支集的大小

摘要 我们研究了 ℝ n {\mathbb{R}^{n}} 的子集之间映射的分支集，即给定映射不定义局部同胚的集合。我们构建了几个清晰的例子，表明分支集或其图像可以具有正度量。