Cardinal invariants associated with Hausdorff measures
Logic
2026-01-30 v1
Abstract
We consider cardinal invariants determined from Hausdorff measures. We separate many cardinal invariants of Hausdorff measure ideals using two models that separate many cardinal invariants of Yorioka ideals at once from earlier work. Also we show the uniformity numbers of -dimensional Hausdorff measure ideals for and that of Lebesgue null ideal can be separated using the Mathias forcing.
Keywords
Cite
@article{arxiv.2112.07952,
title = {Cardinal invariants associated with Hausdorff measures},
author = {Tatsuya Goto},
journal= {arXiv preprint arXiv:2112.07952},
year = {2026}
}