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math.MG2025
On Boundaries of -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 -neighbourhoods $E_\varepsilon = \{x \in \mathbb{R}^2 \, : \, \textrm{dist}(x, E) \leq \v…
math.MG2025
On Boundaries of -neighbourhoods of Planar Sets: Singularities, Global Structure, and Curvature
Jeroen S. W. Lamb, Martin Rasmussen, Kalle G. Timperi
We study the geometry, topological properties and smoothness of the boundaries of closed -neighbourhoods $E_\varepsilon = \{x \in \mathbb{R}^2 \, : \, \textrm{dist}(x,…