English

Spines of 3-Manifolds as Polyhedra with Identified Faces

Geometric Topology 2012-04-18 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1204.3656,
  title  = {Spines of 3-Manifolds as Polyhedra with Identified Faces},
  author = {Simón Isaza},
  journal= {arXiv preprint arXiv:1204.3656},
  year   = {2012}
}