# An equivalence criterion for 3-manifolds.

Revista Matemática de la Universidad Complutense de Madrid (1997)

- Volume: 10, Issue: 1, page 129-147
- ISSN: 1139-1138

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topCasali, 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 -

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