Con($\mathfrak{r}_{\mathsf{nwd}}<\mathfrak{irr}$)
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908346094714880 |
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| author | Manríquez, Jonathan Cancino |
| author_facet | Manríquez, Jonathan Cancino |
| contents | We prove the consistency of the inequality $\mathfrak{r}_{\mathsf{nwd}}<\mathfrak{irr}$, which in turn implies the consistency of $\mathfrak{r}_\mathsf{nwd}<\mathfrak{i}$ and $\mathfrak{r}_{\mathsf{scatt}}<\mathfrak{irr}$. This answers one question from \cite{balzar_hrusak_hernandez} and one question from \cite{cancino_irresolvable_1}. We also prove the consistency of the inequality $\mathfrak{r}_\mathbb{Q}<\mathfrak{u}_\mathbb{Q}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01004 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Con($\mathfrak{r}_{\mathsf{nwd}}<\mathfrak{irr}$) Manríquez, Jonathan Cancino Logic 03E35 We prove the consistency of the inequality $\mathfrak{r}_{\mathsf{nwd}}<\mathfrak{irr}$, which in turn implies the consistency of $\mathfrak{r}_\mathsf{nwd}<\mathfrak{i}$ and $\mathfrak{r}_{\mathsf{scatt}}<\mathfrak{irr}$. This answers one question from \cite{balzar_hrusak_hernandez} and one question from \cite{cancino_irresolvable_1}. We also prove the consistency of the inequality $\mathfrak{r}_\mathbb{Q}<\mathfrak{u}_\mathbb{Q}$. |
| title | Con($\mathfrak{r}_{\mathsf{nwd}}<\mathfrak{irr}$) |
| topic | Logic 03E35 |
| url | https://arxiv.org/abs/2505.01004 |