Surfaces, Submanifolds, and Aligned Fox Reimbedding in Non-haken 3-manifolds
نویسندگان
چکیده
Understanding non-Haken 3-manifolds is central to many current endeavors in 3-manifold topology. We describe some results for closed orientable surfaces in non-Haken manifolds, and extend Fox’s theorem for submanifolds of the 3-sphere to submanifolds of general non-Haken manifolds. In the case where the submanifold has connected boundary, we show also that the ∂-connected sum decomposition of the submanifold can be aligned with such a structure on the submanifold’s complement.
منابع مشابه
Reimbedding in Non - Haken 3 - Manifolds
Understanding non-Haken 3-manifolds is central to many current endeavors in 3-manifold topology. We describe some results for closed orientable surfaces in non-Haken manifolds, and extend Fox’s theorem for submanifolds of the 3-sphere to submanifolds of general non-Haken manifolds. In the case where the submanifold has connected boundary, we show also that the ∂connected sum decomposition of th...
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