A weak characteristic pair for end-irreducible -manifolds

Author:
Bobby Neal Winters

Journal:
Trans. Amer. Math. Soc. **341** (1994), 377-403

MSC:
Primary 57N10; Secondary 57M10

MathSciNet review:
1182982

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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 -manifolds. The Main Theorem of this paper states that if is a noncompact -manifold pair (where is a noncompact -manifold that has an exhausting sequence with certain nice properties and where is incompressible in ), then there is a Seifert pair contained in such that any -manifold that is strongly essential in and each of whose components is a torus, an annulus, an open annulus, or a half-open annulus is isotopic in into .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1994-1182982-8

Keywords:
-manifold,
characteristic pair,
end-irreducible,
isotopy,
noncompact

Article copyright:
© Copyright 1994
American Mathematical Society