Article ID Journal Published Year Pages File Type
4659676 Topology and its Applications 2012 8 Pages PDF
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