Defining functions for open sets in ℝn

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In this note we give, for any open subset in ℝn, a function describing the boundary of this set with exact regularity and being, globally, as regular as possible.
Original languageEnglish
Pages (from-to)45-54
JournalReal Analysis Exchange
Issue number1
Publication statusPublished - 1 Jan 2006


  • Defining function
  • Differentiable function
  • Non regular


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