Continuity of halo functions associated to homothecy invariant density bases

Oleksandra V. Beznosova, Paul A. Hagelstein

Let $\mathcal{B}$ be a collection of open sets in ${\mathbb{R}}^n$ such that, for any $x\in {\mathbb{R}}^n$, there exists a set $U\in \mathcal{B}$ of arbitrarily small diameter {…