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.
| Original language | English |
|---|---|
| Pages (from-to) | 289-327 |
| Number of pages | 39 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 47 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2017 |
Keywords
- Differential space
- Finite group action
- Function codimension
- Milnor number
- Orbifold
- Sikorski space
- Stratified space