Author/Authors :
Ge´za Bohus، نويسنده , , William Jockusch، نويسنده , , Carl W. Lee، نويسنده , , Nagabhushana Prabhu، نويسنده ,
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.