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The converse of the solid torus theorem

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Publication:719524
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DOI10.1016/J.TOPOL.2011.07.006zbMath1226.57042OpenAlexW2051391487MaRDI QIDQ719524

Enoch H. Apaza, Carlos A. Morales

Publication date: 10 October 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.07.006


zbMATH Keywords

closed manifoldhomeomorphicsolid torus theorem


Mathematics Subject Classification ID

Embeddings in differential topology (57R40)





Cites Work

  • Irreducible 4-manifolds need not be complex
  • Necessary and sufficient conditions that a 3-manifold be \(S^3\)
  • Generalized Poincaré's conjecture in dimensions greater than four
  • The topology of four-dimensional manifolds
  • Dehn's lemma and handle decompositions of some 4-manifolds
  • Open manifolds foliated by planes
  • Piecewise linear unknotting of \(S^ p\times S^ q\) in \(S^{p+q+1}\)
  • Two-dimensional links and diffeomorphisms on 3-manifolds
  • Polyhedral homotopy-spheres
  • A proof of the generalized Schoenflies theorem
  • Cubes with Knotted Holes
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