More on Halfway New Cardinal Characteristics

Autor:	Farkas, Barnabás, Klausner, Lukas Daniel, Lischka, Marc
Rok vydání:	2023
Předmět:	Mathematics - Logic 03E17 (Primary) 03E40 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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 $\mathfrak{s}_\rho$ and $\mathfrak{r}_\rho$ for $\rho\in (0,1)$, and show that $\mathfrak{r}_\rho$ does not depend on $\rho$. Comment: 14 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.09698 Zobrazit plný text záznamu View this record from Arxiv