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

DOI10.1090/S0002-9939-04-07704-4zbMath1071.57015arXivmath/0308011OpenAlexW1600625981MaRDI QIDQ4654101

Abigail A. Thompson, Martin G. Scharlemann

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308011

zbMATH Keywords

submanifoldnon-Haken 3-manifoldreimbeddingstandard complementunknotted core

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items

Fox reimbedding and Bing submanifolds ⋮ On 3-submanifolds of \(S^3\) which admit complete spanning curve systems ⋮ Bridge position and the representativity of spatial graphs ⋮ An equivalent description of the lens space L(p,q) with p prime ⋮ Levels of knotting of spatial handlebodies

Cites Work

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• Reducing Heegaard splittings
• Compressing handlebodies with holes
• Heegaard-Zerlegungen der 3-Sphäre
• On the imbedding of polyhedra in 3-space

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