Forcing $\mathbfΣ^1_1$-Separation on $ω_1^{ω_1}$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918514482216960 |
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| author | Hoffelner, Stefan |
| author_facet | Hoffelner, Stefan |
| contents | We prove that it is consistent that every two disjoint boldface $\mathbfΣ^1_1$ subsets of $ω_1^{ω_1}$ can be separated by a boldface $\mathbfΔ^1_1$ set. The forcing starts from $L$ and preserves CH and therefore also $ω_1^{<ω_1}=ω_1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21175 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Forcing $\mathbfΣ^1_1$-Separation on $ω_1^{ω_1}$ Hoffelner, Stefan Logic 03E35, 03E45, 03E47 We prove that it is consistent that every two disjoint boldface $\mathbfΣ^1_1$ subsets of $ω_1^{ω_1}$ can be separated by a boldface $\mathbfΔ^1_1$ set. The forcing starts from $L$ and preserves CH and therefore also $ω_1^{<ω_1}=ω_1$. |
| title | Forcing $\mathbfΣ^1_1$-Separation on $ω_1^{ω_1}$ |
| topic | Logic 03E35, 03E45, 03E47 |
| url | https://arxiv.org/abs/2605.21175 |