Continuum Many Different Things: Localisation, Anti-Localisation and Yorioka Ideals
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| author | Cardona, Miguel Antonio Klausner, Lukas Daniel Mejía, Diego Alejandro |
| author_facet | Cardona, Miguel Antonio Klausner, Lukas Daniel Mejía, Diego Alejandro |
| contents | Combining creature forcing approaches from arXiv:1003.3425 and arXiv:1402.0367, we show that, under CH, there is a proper $ω^ω$-bounding poset with $\aleph_2$-cc that forces continuum many pairwise different cardinal characteristics, parametrised by reals, for each one of the following six types: uniformity and covering numbers of Yorioka ideals as well as both kinds of localisation and anti-localisation cardinals, respectively. This answers several open questions from arXiv:1805.11005. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_11614 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Continuum Many Different Things: Localisation, Anti-Localisation and Yorioka Ideals Cardona, Miguel Antonio Klausner, Lukas Daniel Mejía, Diego Alejandro Logic 03E17 (Primary) 03E05, 03E35, 03E40 (Secondary) Combining creature forcing approaches from arXiv:1003.3425 and arXiv:1402.0367, we show that, under CH, there is a proper $ω^ω$-bounding poset with $\aleph_2$-cc that forces continuum many pairwise different cardinal characteristics, parametrised by reals, for each one of the following six types: uniformity and covering numbers of Yorioka ideals as well as both kinds of localisation and anti-localisation cardinals, respectively. This answers several open questions from arXiv:1805.11005. |
| title | Continuum Many Different Things: Localisation, Anti-Localisation and Yorioka Ideals |
| topic | Logic 03E17 (Primary) 03E05, 03E35, 03E40 (Secondary) |
| url | https://arxiv.org/abs/2110.11614 |