2012/04/16 by Simón Isaza, Isaza, Simón
Computer Science · Mathematics · #57M05 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematics and Applications #math.GT #msc:57M05
paper · pdf · doi:10.48550/arxiv.1204.3656
arxiv created 2012/04/16 · openalex publication_date 2012/04/16 · arxiv updated 2012/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.