Smoothness of sets in Euclidean spaces
Classical Analysis and ODEs
2014-02-26 v2
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.
Cite
@article{arxiv.1009.4446,
title = {Smoothness of sets in Euclidean spaces},
author = {Artur Nicolau and Daniel Seco},
journal= {arXiv preprint arXiv:1009.4446},
year = {2014}
}
Comments
11 pages, 1 figure. To appear on the Bulletin of the London Mathematical Society