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Topological collapsing and cylindrical neighborhoods in 3-manifolds

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Publication:1062315
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DOI10.1016/0166-8641(85)90094-XzbMath0572.57004MaRDI QIDQ1062315

Riccardo Piergallini

Publication date: 1985

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


zbMATH Keywords

3-manifoldcylindrical neighborhoodstopological collapsing


Mathematics Subject Classification ID

Neighborhoods of submanifolds (57N40) Microbundles and block bundles (57N55)




Cites Work

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  • An alternative proof that 3-manifolds can be triangulated
  • Homotopy, simple homotopy and compacta
  • Ends of maps. I
  • Finding a boundary for a 3-manifold
  • Approximating cellular maps by homeomorphisms
  • Embeddings of surfaces in \(E^ 3\)
  • Mapping cylinder neighborhoods
  • Mapping Cylinder Neighborhoods in the Plane
  • Concerning a problem of K. Borsuk
  • Characterizations of Tame Surfaces in E 3
  • Unknotting in M 2 × I
  • Taming codimension three embeddings
  • Mapping Cylinder Neighborhoods
  • Some order theoretic characterizations of the 3-cell
  • Strongly cellular subsets of $E^3$


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