论文标题
保存分裂家庭和连续体的基本特征
Preservation of splitting families and cardinal characteristics of the continuum
论文作者
论文摘要
我们展示了如何通过强迫分裂家庭来构建与某种有限的支持迭代所保存的家庭相比。作为一个应用程序，我们构建了一个模型，其中15个连续体的经典特征是成对的，具体的：10（非依赖性）条目，cichoń图中的10个条目，$ \ mathfrak {M}（2 \ text {-knaster}）$，$ \ mathfrak {P}收获号码$ \ Mathfrak {r} $。
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 Cichoń's diagram, $\mathfrak{m}(2\text{-Knaster})$, $\mathfrak{p}$, $\mathfrak{h}$, the splitting number $\mathfrak{s}$ and the reaping number $\mathfrak{r}$.
