A weak characteristic pair for end-irreducible $3$-manifolds
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- by Bobby Neal Winters PDF
- Trans. Amer. Math. Soc. 341 (1994), 377-403 Request permission
Abstract:
This extends a weakened version of the Characteristic Pair Theorem of Jaco, Shalen, and Johannson to a large subclass of the class of end-irreducible $3$-manifolds. The Main Theorem of this paper states that if $(W,w)$ is a noncompact $3$-manifold pair (where $W$ is a noncompact $3$-manifold that has an exhausting sequence with certain nice properties and where $w$ is incompressible in $W$), then there is a Seifert pair $(\Sigma ,\Phi )$ contained in $(W,w)$ such that any $2$-manifold that is strongly essential in $(W,w)$ and each of whose components is a torus, an annulus, an open annulus, or a half-open annulus is isotopic in $(W,w)$ into $(\Sigma ,\Phi )$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 341 (1994), 377-403
- MSC: Primary 57N10; Secondary 57M10
- DOI: https://doi.org/10.1090/S0002-9947-1994-1182982-8
- MathSciNet review: 1182982