实解析轨道的一个次解析三角剖分定理
A subanalytic triangulation theorem for real analytic orbifolds
摘要：
设$X$是一个实解析轨道。则$X$的每个层是$X$的子分析子集。我们表明，$X$有一个独特的亚解析三角兼容的地层$X$。我们还证明了每一个${\rm C}^r$ -orbifold，$1\leq r\leq \infty$，有一个真正的解析结构.这使我们能够三角化可微轨道。结果推广了以前已知的商orbifolds的次解析三角剖分定理。
英文摘要：
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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