Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659676 | Topology and its Applications | 2012 | 8 Pages |
Abstract
Let X be a real analytic orbifold. Then each stratum of X is a subanalytic subset of X. We show that X has a unique subanalytic triangulation compatible with the strata of X. We also show that every Cr-orbifold, 1⩽r⩽∞, has a real analytic structure. This allows us to triangulate differentiable orbifolds. The results generalize the subanalytic triangulation theorems previously known for quotient orbifolds.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology