TL;DR
This paper proves that any orbifold that is contractible must actually be a manifold, clarifying the structure of such topological spaces.
Contribution
The paper establishes a fundamental result linking contractibility of orbifolds to their manifold structure, a previously unresolved question.
Findings
Contractible orbifolds are manifolds
Provides a criterion for orbifold topology
Clarifies the structure of contractible orbifolds
Abstract
We prove that a contractible orbifold is a manifold.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology