When is the underlying space of an orbifold a manifold?

Lange, Christian

doi:10.1090/tran/7687

When is the underlying space of an orbifold a manifold?
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Trans. Amer. Math. Soc. 372 (2019), 2799-2828 Request permission

Abstract:

We classify orthogonal actions of finite groups on Euclidean vector spaces for which the corresponding quotient space is a topological, homological, or Lipschitz manifold, possibly with boundary. In particular, our results answer the question of when the underlying space of an orbifold is a manifold.

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