Goldstern, M., Kellner, J., Mejía, D. A., & Shelah, S. (2021). Preservation of splitting families and cardinal characteristics of the continuum. Israel Journal of Mathematics, 246(1), 73–129. https://doi.org/10.1007/s11856-021-2237-7
We show how to construct, via forcing, splitting families that 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 Cichoń’s diagram, m (2-Knaster), p, h, the splitting number s and the reaping number r.
