The Differential Structure of an Orbifold
Geometric Topology
2017-03-07 v3
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.
Cite
@article{arxiv.1503.01740,
title = {The Differential Structure of an Orbifold},
author = {Jordan Watts},
journal= {arXiv preprint arXiv:1503.01740},
year = {2017}
}
Comments
V3: Final version. Removed a superfluous "2" from some examples