Artur Nicolau, Daniel Seco
Published 2010-09-22, updated 2010-12-10Version 2
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.
Comments: 11 pages, 1 figure. To appear on the Bulletin of the London Mathematical Society
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On some properties of moduli of smoothness with Jacobi weights
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