Waldhausen’s classification theorem for finitely uniformizable $3$-orbifolds
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- by Yoshihiro Takeuchi PDF
- Trans. Amer. Math. Soc. 328 (1991), 151-200 Request permission
Abstract:
We define a map between two orbifolds. With respect to this map, we generalize $3$-manifold theory to $3$-orbifolds. As the main goal, we generalize the Waldhausen’s classification theorem of Haken $3$-manifolds to finitely uniformizable $3$-orbifolds. For applications of the developed theory, we introduce an invariant for links and tangles by using the orbifold fundamental group. With the invariant, we classify a class of links and show the untangling theorem.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 328 (1991), 151-200
- MSC: Primary 57M50; Secondary 57M12, 57M35
- DOI: https://doi.org/10.1090/S0002-9947-1991-1065604-3
- MathSciNet review: 1065604