The differential structure of an orbifold

Jordan Watts

doi:10.1216/RMJ-2017-47-1-289

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Home > Journals > Rocky Mountain J. Math. > Volume 47 > Issue 1 > Article

2017 The differential structure of an orbifold

Jordan Watts

Rocky Mountain J. Math. 47(1): 289-327 (2017). DOI: 10.1216/RMJ-2017-47-1-289

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Abstract

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.