Geodesic
Topology Preserving Edge Contraction
Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 23 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We study edge contractions in simplicial complexes and local conditions under which they preserve the topological type. The conditions are based on a generalized notion of boundary, which lends itself to defining a nested hierarchy of triangulable spaces measuring the distance to being a manifold.
Classification : 57N80 68Q25 
@article{PIM_1999_N_S_66_80_a3,
     author = {Tamal K. Dey and Herbert Edelsbrunner and Sumanta Guha and Dmitry V. Nekhayev},
     title = {Topology {Preserving} {Edge} {Contraction}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {23 },
     year = {1999},
     volume = {_N_S_66},
     number = {80},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1999_N_S_66_80_a3/}
}
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Tamal K. Dey; Herbert Edelsbrunner; Sumanta Guha; Dmitry V. Nekhayev. Topology Preserving Edge Contraction. Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 23 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_66_80_a3/