--- res: bibo_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.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Herbert foaf_name: Edelsbrunner, Herbert foaf_surname: Edelsbrunner foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-9823-6833 - foaf_Person: foaf_givenName: Nimish foaf_name: Shah, Nimish foaf_surname: Shah bibo_doi: 10.1142/S0218195997000223 bibo_issue: '4' bibo_volume: 7 dct_date: 1997^xs_gYear dct_isPartOf: - http://id.crossref.org/issn/0925-7721 dct_language: eng dct_publisher: World Scientific Publishing@ dct_title: Triangulating topological spaces@ ...