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arXiv · 2007.13500

Preservation of splitting families and cardinal characteristics of the continuum

Martin Goldstern·Jakob Kellner·Diego A. Mejía·Saharon Shelah
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Abstract

We show how to construct, via forcing, splitting families than are preserved by a certain type of finite support iterations. As an application, we construct a model where 15 classical characteristics of the continuum are pairwise different, concretely: the 10 (non-dependent) entries in Cicho\'n's diagram, $\mathfrak{m}(2\text{-Knaster})$, $\mathfrak{p}$, $\mathfrak{h}$, the splitting number $\mathfrak{s}$ and the reaping number $\mathfrak{r}$.

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Martin Goldstern, Jakob Kellner, Diego A. Mejía, Saharon Shelah. 2020-07-27. Preservation of splitting families and cardinal characteristics of the continuum. https://doi.org/10.1007/s11856-021-2237-7

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