Spines of 3-Manifolds as Polyhedra with Identified Faces

Details Spines of 3-Manifolds as Polyhedra with Identified Faces Spines of 3-Manifolds as Polyhedra with Identified Faces

2012-04-16

arxiv.org/abs/1204.3656v1

Mathematics

Geometric Topology

Scientific paper

In this article we establish the relation between the spines of 3-manifolds and the polyhedra with identified faces. We do this by showing that the spines of the closed, connected, orientable 3-manifolds can be presented through polyhedra with identified faces in a very natural way. We also prove the equivalence between the special spines and a certain type of polyhedra, and other related results.

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