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arXiv · 2112.07952

Cardinal invariants associated with Hausdorff measures

Tatsuya Goto
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Abstract

We consider cardinal invariants determined from Hausdorff measures. We separate many cardinal invariants of Hausdorff measure $0$ ideals using two models that separate many cardinal invariants of Yorioka ideals at once from earlier work. Also we show the uniformity numbers of $s$-dimensional Hausdorff measure $0$ ideals for $0 < s < 1$ and that of Lebesgue null ideal can be separated using the Mathias forcing.

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Tatsuya Goto. 2021-12-15. Cardinal invariants associated with Hausdorff measures. https://doi.org/10.1007/s00153-025-00970-9

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