Core curves of triangulated solid tori

We show that in any triangulation of a solid torus, there is a pre-core curve that lies in the 2-skeleton and that intersects the interior of each face in at most 10 straight arcs. By definition, a pre-core curve is a simple closed curve that becomes a core curve when a collar is attached to the bou...

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Bibliographic Details
Main Author: Lackenby, M
Format: Journal article
Published: American Mathematical Society 2014