@article{4018,
  abstract     = {Given a subspace X subset of or equal to R-d and a finite set S subset of or equal to R-d, we introduce the Delaunay complex, D-X, restricted by X. Its simplices are spanned by subsets T subset of or equal to S for which the common intersection of Voronoi cells meets X in a non-empty set. By the nerve theorem, boolean OR D-X and X are homotopy equivalent if all such sets are contractible. This paper proves a sufficient condition for boolean OR D-X and X be homeomorphic.},
  author       = {Edelsbrunner, Herbert and Shah, Nimish},
  issn         = {0925-7721},
  journal      = {International Journal of Computational Geometry & Applications},
  number       = {4},
  pages        = {365 -- 378},
  publisher    = {World Scientific Publishing},
  title        = {{Triangulating topological spaces}},
  doi          = {10.1142/S0218195997000223},
  volume       = {7},
  year         = {1997},
}

