Borel Conjecture for the Marczewski ideal
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911751428112384 |
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| author | Brendle, Joerg Wohofsky, Wolfgang |
| author_facet | Brendle, Joerg Wohofsky, Wolfgang |
| contents | We show in ZFC that there is no set of reals of size continuum which can be translated away from every set in the Marczewski ideal. We also show that in the Cohen model, every set with this property is countable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04300 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Borel Conjecture for the Marczewski ideal Brendle, Joerg Wohofsky, Wolfgang Logic 03E05, 03E15, 03E17, 03E35, 03E50, 22A05, 54H11 We show in ZFC that there is no set of reals of size continuum which can be translated away from every set in the Marczewski ideal. We also show that in the Cohen model, every set with this property is countable. |
| title | Borel Conjecture for the Marczewski ideal |
| topic | Logic 03E05, 03E15, 03E17, 03E35, 03E50, 22A05, 54H11 |
| url | https://arxiv.org/abs/2401.04300 |