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Imbeddings of polyhedra in 3-manifolds

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Publication:1210154
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DOI10.1007/BF01760004zbMath0777.57003MaRDI QIDQ1210154

Alberto Cavicchioli

Publication date: 16 May 1993

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)


zbMATH Keywords

3-manifoldscompact polyhedraknot spacesregular neighborhoodsspines


Mathematics Subject Classification ID


Related Items (4)

Codimension two PL embeddings of spheres with nonstandard regular neighborhoods ⋮ Geometric topology of generalized 3-manifolds ⋮ EMBEDDINGS OF 2-COMPLEXES INTO 3-MANIFOLDS ⋮ Peripheral acyclicity and homology manifolds



Cites Work

  • An alternative proof that 3-manifolds can be triangulated
  • The Zeeman conjecture for standard spines is equivalent to the Poincaré conjecture
  • Embedding of 2-dimensional cell complexes in \(S^ 3\) determined by their 1-skeletons
  • Group Presentations Corresponding to Spines of 3-Manifolds 1
  • An Imbedding Theorem for Connected 3-Manifolds with Boundary
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