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.

References in corpus (2)

• On cardinal characteristics of Yorioka ideals
• Many Different Uniformity Numbers of Yorioka Ideals