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arxiv: math/9805073 · v1 · submitted 1998-05-16 · 🧮 math.GT

Geometrization of 3-orbifolds of cyclic type

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keywords cyclicorbifoldtypegoodmanifoldorbifoldsveryboundary
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We give a complete proof of Thurston's Orbifold Theorem for very good 3-orbifolds of cyclic type. An orbifold is said to be very good when it has a finite cover which is a manifold. A 3-orbifold is of cyclic type if the singular set is a non-empty 1-manifold transverse to the boundary.

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