Some Remarks on Hausdorff Measurability of Lipschitz Images in Metric Spaces

Yu-Lin Chou

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arXiv · 2006.03418

Some Remarks on Hausdorff Measurability of Lipschitz Images in Metric Spaces

Yu-Lin Chou

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Abstract

In this short note, we show that, in any given metric space, every Lipschitz open-map image of every subset of a given metric space whose boundary is Hausdorff-null is Hausdorff-measurable with respect to the same dimension. The main results are connected with a number of familiar concepts in other branches such as complex analysis, functional analysis, and topology.

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Yu-Lin Chou. 2020-06-02. Some Remarks on Hausdorff Measurability of Lipschitz Images in Metric Spaces. https://arxiv.org/abs/2006.03418

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