An equivalence criterion for 3-manifolds.

Casali, M. R.. "An equivalence criterion for 3-manifolds.." Revista Matemática de la Universidad Complutense de Madrid 10.1 (1997): 129-147. <http://eudml.org/doc/44240>.

@article{Casali1997,
abstract = {Within geometric topology of 3-manifolds (with or without boundary), a representation theory exists, which makes use of 4-coloured graphs. Aim of this paper is to translate the homeomorphism problem for the represented manifolds into an equivalence problem for 4-coloured graphs, by means of a finite number of graph-moves, called dipole moves. Moreover, interesting consequences are obtained, which are related with the same problem in the n-dimensional setting.},
author = {Casali, M. R.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {3-variedades; Análisis combinatorio; Homeomorfismos; Grafo coloreado; Multidimensional; Relaciones de equivalencia; triangulation; 3-manifold; 4-colored graph; homeomorphism},
language = {eng},
number = {1},
pages = {129-147},
title = {An equivalence criterion for 3-manifolds.},
url = {http://eudml.org/doc/44240},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Casali, M. R.
TI - An equivalence criterion for 3-manifolds.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - 1
SP - 129
EP - 147
AB - Within geometric topology of 3-manifolds (with or without boundary), a representation theory exists, which makes use of 4-coloured graphs. Aim of this paper is to translate the homeomorphism problem for the represented manifolds into an equivalence problem for 4-coloured graphs, by means of a finite number of graph-moves, called dipole moves. Moreover, interesting consequences are obtained, which are related with the same problem in the n-dimensional setting.
LA - eng
KW - 3-variedades; Análisis combinatorio; Homeomorfismos; Grafo coloreado; Multidimensional; Relaciones de equivalencia; triangulation; 3-manifold; 4-colored graph; homeomorphism
UR - http://eudml.org/doc/44240
ER -