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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2112.07952 |
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| _version_ | 1866917231467692032 |
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| author | Goto, Tatsuya |
| author_facet | Goto, Tatsuya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_07952 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Cardinal invariants associated with Hausdorff measures Goto, Tatsuya Logic 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. |
| title | Cardinal invariants associated with Hausdorff measures |
| topic | Logic |
| url | https://arxiv.org/abs/2112.07952 |