Smoothness of sets in Euclidean spaces
classification
🧮 math.CA
keywords
euclideanhungerfordsetsspacesambientautomorphismsboundariesclass
read the original abstract
We study some properties of smooth sets in the sense defined by Hungerford. We prove a sharp form of Hungerford's Theorem on the Hausdorff dimension of their boundaries on Euclidean spaces and show the invariance of the definition under a class of automorphisms of the ambient space.
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