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arXiv · 1101.4444

A restriction for singularities on collapsing orbifolds

Yu Ding
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Abstract

An orbifold $X$ is locally homeomorphic to $G_x\backslash B_r(0)$, where $G_x$ is a finite group acting on $B_r(0)\subset{\mathbb R}^n$, so that $G_x(0)=0$. For collapsing orbifolds with isolated singularities, we show there is a uniform bound in $|G_x|$.

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Yu Ding. 2011-01-24. A restriction for singularities on collapsing orbifolds. https://arxiv.org/abs/1101.4444

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