On $\mathbb{R}$-embeddability of almost disjoint families and Akemann-Doner C*-algebras

Osvaldo Guzmán, Michael Hrušák, Piotr Koszmider

An almost disjoint family $\mathcal{A}$ of subsets of $\mathbb{N}$ is said to be $\mathbb{R}$-embeddable if there is a function $f:\mathbb{N}\to \mathbb{R}$ such that the sets $…