Topology Preserving Edge Contraction
Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 23 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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
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     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},
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     year = {1999},
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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/