Cardinal invariants associated with Hausdorff measures
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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