@article{3582,
  abstract     = {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.},
  author       = {Dey, Tamal and Edelsbrunner, Herbert and Guha, Sumanta and Nekhayev, Dmitry},
  issn         = {0350-1302},
  journal      = {Publications de l'Institut Mathématique},
  pages        = {23 -- 45},
  publisher    = {Mathematical Institute, Serbian Academy of Sciences and Arts},
  title        = {{Topology preserving edge contraction}},
  volume       = {66},
  year         = {1999},
}