Almost disjoint families and the geometry of nonseparable spheres

Osvaldo Guzmán, Michael Hrušák, Piotr Koszmider

We consider uncountable almost disjoint families of subsets of $\mathbb{N}$, the Johnson-Lindenstrauss Banach spaces $({\mathcal{X}}_{\mathcal{A}},\Vert {\Vert }_{\infty })$ induced by them, and…