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Elementary disks in truncated triangulations

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.1, pp.91-99
https://doi.org/10.7468/jksmeb.2015.22.1.91
Kang, Ensil

Abstract

A normal surface is determined by how the surface under consideration meets each tetrahedron in a given triangulation. We call such a nice embedded disk, which is a component of the intersection of the surface with a tetrahedron, an elementary disk. We classify all elementary disk types in a truncated ideal triangulation.

keywords
3-manifold, normal surface, ideal triangulation

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics