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Lattice triangulations of(mathbb{E}^3 )and of the 3-torus

✍ Scribed by Ulrich Brehm, Wolfgang Kühnel

Book ID
118300271
Publisher
The Hebrew University Magnes Press
Year
2011
Tongue
English
Weight
365 KB
Volume
189
Category
Article
ISSN
0021-2172

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On a triangulation of the 3-ball and the
On a triangulation of the 3-ball and the solid torus
✍ Ge´za Bohus; William Jockusch; Carl W. Lee; Nagabhushana Prabhu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 302 KB

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.