On the Kunen–Shelah properties in Banach spaces
On the Kunen–Shelah properties in Banach spaces
We introduce and study the Kunen–Shelah properties ${\rm KS}_i$, $ i=0,1,\ldots ,7$. Let us highlight some of our results for a Banach space $X$: (1) $X^*$ has a $w^*$-nonseparable equivalent dual ball iff $X$ has an $\omega$-<i>polyhedron</