On Boundaries of $\epsilon$-neighbourhoods of Planar Sets, Part II: Global Structure and Curvature

Jeroen S. W. Lamb, Martin Rasmussen, Kalle Timperi

We study the global topological structure and smoothness of the boundaries of $\epsilon$-neighbourhoods $E_\varepsilon = \{x \in \mathbb{R}^2 \, : \, \textrm{dist}(x, E) \leq \v…