The differential structure of an orbifold

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4 Scopus citations


We prove that the underlying set of an orbifold equipped with the ring of smooth real-valued functions completely determines the orbifold atlas. Consequently, we obtain an essentially injective functor from orbifolds to differential spaces.

Original languageEnglish
Pages (from-to)289-327
Number of pages39
JournalRocky Mountain Journal of Mathematics
Issue number1
StatePublished - 2017


  • Differential space
  • Finite group action
  • Function codimension
  • Milnor number
  • Orbifold
  • Sikorski space
  • Stratified space


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