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arXiv · 2601.20414

The Hausdorff measure due to Davies and Rogers and its cardinal invariants

Tatsuya Goto
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Abstract

Davies and Rogers constructed a Hausdorff measure satisfying the following property: every Borel subset of the space has measure either $\infty$ or $0$. In this paper, we examine cardinal invariants of their measure.

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Tatsuya Goto. 2026-01-28. The Hausdorff measure due to Davies and Rogers and its cardinal invariants. https://arxiv.org/abs/2601.20414

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