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arXiv · 1009.4446

Smoothness of sets in Euclidean spaces

Artur Nicolau·Daniel Seco
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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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Artur Nicolau, Daniel Seco. 2010-12-10. Smoothness of sets in Euclidean spaces. https://doi.org/10.1112/blms%2Fbdq121

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