A subanalytic triangulation theorem for real analytic orbifolds

Details A subanalytic triangulation theorem for real analytic orbifolds A subanalytic triangulation theorem for real analytic orbifolds

2011-05-01

arxiv.org/abs/1105.0209v2

Mathematics

Geometric Topology

Made a minor change

Scientific paper

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 ${\rm C}^r$-orbifold, $1\leq r\leq \infty$, has a real analytic structure. This allows us to triangulate differentiable orbifolds. The results generalize the subanalytic triangulation theorems previously known for quotient orbifolds.

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