Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds

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dc.creatorScharlemann, Martin
dc.creatorThompson, Abigail
dc.date2003-08-01
dc.date.accessioned2026-07-07T05:00:01Z
dc.date.available2026-07-07T05:00:01Z
dc.descriptionUnderstanding 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 boundary-connected sum decomposition of the submanifold can be aligned with such a structure on the submanifold's complement.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0308011
dc.identifierhttp://arxiv.org/abs/math/0308011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68224
dc.subjectGeometric Topology
dc.subject57M40; 57M25
dc.titleSurfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds
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