Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.09698 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of 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 $ρ$.