When is the underlying space of an orbifold a manifold with boundary?

2015/09/22 by Christian Lange, Lange, Christian
Mathematics · #20F65 #57R18 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1509.06796

openalex publication_date 2015/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We answer the question of when the underlying space of an orbifold is a manifold with boundary in several categories.

Citations

• Shrinking Cell-Like Decompositions of Manifolds. Codimension Three
• When is the underlying space of an orbifold a manifold?

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• Orbispaces and Orbifolds from the Point of View of the Borel Construction, a new Definition
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