Smoothness of sets in Euclidean spaces

Nicolau, Artur; Seco Forsnacke, Daniel

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Smoothness of sets in Euclidean spaces

Author(s): Nicolau, Artur; Seco Forsnacke, Daniel

Publisher: London Mathematical Society

Issued date: 2011-06

Citation: Nicolau, A. & Seco, D. (2011). Smoothness of sets in Euclidean spaces. Bulletin of the London Mathematical Society, 43(3), pp. 536–546.

ISSN: 0024-6093

DOI: https://doi.org/10.1112/blms/bdq121

Sponsor: Both authors are supported partially by the grants MTM2008-00145 and 2009SGR420.

URI: http://hdl.handle.net/10016/32645

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 automorphism [+]

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