Open 3-manifolds whose fundamental groups have infinite center, and a torus theorem for 3-orbifolds
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Abstract:
Our main result is a characterization of open Seifert fibered $3$-manifolds in terms of the fundamental group and large-scale geometric properties of a triangulation. As an application, we extend the Seifert Fiber Space Theorem and the Torus Theorem to a class of $3$-orbifolds.References
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Additional Information
- Sylvain Maillot
- Affiliation: Département de Mathématiques, Université du Québec à Montréal, Case postale 8888 succursale centre-ville, Montréal, Canada H3C 3P8
- Email: maillot@math.uqam.ca
- Received by editor(s): September 28, 2001
- Received by editor(s) in revised form: November 25, 2002
- Published electronically: July 8, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 355 (2003), 4595-4638
- MSC (2000): Primary 57N10
- DOI: https://doi.org/10.1090/S0002-9947-03-03319-1
- MathSciNet review: 1990764