On Triangulations of the 3-ball and the Solid Torus

Abstract

We show that neither the 3-ball nor the solid torus admits a triangulation in which (I) every vertex is on the boundary, and (ii) every tetrahedron has exactly one triangle on the boundary. (Such triangulations are relevant to an unresolved conjecture of Perles). Our result settles a question posed at the DIMACS Workshop on Polytopes and Convex Sets.

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Document Details

Document Type
Technical Report
Publication Date
Mar 17, 1994
Accession Number
AD1020180

Entities

People

  • Carl Lee
  • Geza Bohus
  • Nagabhushana Prabhu
  • William Jockusch

Organizations

  • Courant Institute of Mathematical Sciences, NYU

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Convex Sets
  • Mathematics
  • Triangles
  • Triangulation
  • Workshops

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Technical Research and Report Writing.