Smoothness of sets in Euclidean spaces Articles uri icon

publication date

  • June 2011

start page

  • 536

end page

  • 546

issue

  • 3

volume

  • 43

International Standard Serial Number (ISSN)

  • 0024-6093

Electronic International Standard Serial Number (EISSN)

  • 1469-2120

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.