Triangulating topological spaces Edelsbrunner, Herbert ; https://orcid.org/0000-0002-9823-6833 Shah, Nimish 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. World Scientific Publishing 1997 info:eu-repo/semantics/article doc-type:Article Article http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/4018 Edelsbrunner H, Shah N. Triangulating topological spaces. <i>International Journal of Computational Geometry &#38; Applications</i>. 1997;7(4):365-378. doi:<a href="https://doi.org/10.1142/S0218195997000223">10.1142/S0218195997000223</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1142/S0218195997000223 info:eu-repo/semantics/altIdentifier/issn/0925-7721 info:eu-repo/semantics/closedAccess