More on Halfway New Cardinal Characteristics
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918143094423552 |
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| author | Farkas, Barnabás Klausner, Lukas Daniel Lischka, Marc |
| author_facet | Farkas, Barnabás Klausner, Lukas Daniel Lischka, Marc |
| contents | We continue investigating variants of the splitting and reaping numbers introduced in arXiv:1808.02442. In particular, answering a question raised there, we prove the consistency of $\mathrm{cof}(\mathcal{M})<\mathfrak{s}_{\frac{1}{2}}$ and of $\mathfrak{r}_{\frac{1}{2}}<\mathrm{add}(\mathcal{M})$. Moreover, we discuss their natural generalisations $\mathfrak{s}_ρ$ and $\mathfrak{r}_ρ$ for $ρ\in (0,1)$, and show that $\mathfrak{r}_ρ$ does not depend on $ρ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09698 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | More on Halfway New Cardinal Characteristics Farkas, Barnabás Klausner, Lukas Daniel Lischka, Marc Logic 03E17 (Primary) 03E40 (Secondary) We continue investigating variants of the splitting and reaping numbers introduced in arXiv:1808.02442. In particular, answering a question raised there, we prove the consistency of $\mathrm{cof}(\mathcal{M})<\mathfrak{s}_{\frac{1}{2}}$ and of $\mathfrak{r}_{\frac{1}{2}}<\mathrm{add}(\mathcal{M})$. Moreover, we discuss their natural generalisations $\mathfrak{s}_ρ$ and $\mathfrak{r}_ρ$ for $ρ\in (0,1)$, and show that $\mathfrak{r}_ρ$ does not depend on $ρ$. |
| title | More on Halfway New Cardinal Characteristics |
| topic | Logic 03E17 (Primary) 03E40 (Secondary) |
| url | https://arxiv.org/abs/2304.09698 |