Thin position and planar surfaces for graphs in the 3-sphere

Simple item page
dc.creatorLi, Tao
dc.date2008-07-17
dc.date.accessioned2026-07-07T09:51:14Z
dc.date.available2026-07-07T09:51:14Z
dc.descriptionWe show that given a trivalent graph in $S^3$, either the graph complement contains an essential almost meridional planar surface or thin position for the graph is also bridge position. This can be viewed as an extension of a theorem of Thompson to graphs. It follows that any graph complement always contains a useful planar surface.
dc.description7 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0807.2865
dc.identifierhttp://arxiv.org/abs/0807.2865
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165218
dc.subjectGeometric Topology
dc.subject57N10; 57M25
dc.titleThin position and planar surfaces for graphs in the 3-sphere
dc.typetext

Files

Collections

arXiv