Triangulating topological spaces

article Triangulating topological spaces published yes Herbert Edelsbrunner author 3FB178DA-F248-11E8-B48F-1D18A9856A870000-0002-9823-6833 Nimish Shah author 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 Publishing1997 eng International Journal of Computational Geometry & Applications 0925-772110.1142/S0218195997000223 74365 - 378 yes Edelsbrunner, Herbert, and Nimish Shah. “Triangulating Topological Spaces.” International Journal of Computational Geometry & Applications. World Scientific Publishing, 1997. <a href="https://doi.org/10.1142/S0218195997000223">https://doi.org/10.1142/S0218195997000223</a>. Edelsbrunner, Herbert, and Nimish Shah. “Triangulating Topological Spaces.” International Journal of Computational Geometry & Applications, vol. 7, no. 4, World Scientific Publishing, 1997, pp. 365–78, doi:<a href="https://doi.org/10.1142/S0218195997000223">10.1142/S0218195997000223</a>. H. Edelsbrunner and N. Shah, “Triangulating topological spaces,” International Journal of Computational Geometry & Applications, vol. 7, no. 4. World Scientific Publishing, pp. 365–378, 1997. Edelsbrunner H, Shah N. 1997. Triangulating topological spaces. International Journal of Computational Geometry & Applications. 7(4), 365–378. H. Edelsbrunner, N. Shah, International Journal of Computational Geometry & Applications 7 (1997) 365–378. Edelsbrunner, H., & Shah, N. (1997). Triangulating topological spaces. International Journal of Computational Geometry & Applications. World Scientific Publishing. <a href="https://doi.org/10.1142/S0218195997000223">https://doi.org/10.1142/S0218195997000223</a> Edelsbrunner H, Shah N. Triangulating topological spaces. International Journal of Computational Geometry & Applications. 1997;7(4):365-378. doi:<a href="https://doi.org/10.1142/S0218195997000223">10.1142/S0218195997000223</a> 40182018-12-11T12:06:28Z2022-08-19T08:32:23Z