{"publisher":"World Scientific Publishing","article_type":"original","date_updated":"2022-08-19T08:32:23Z","publication":"International Journal of Computational Geometry & Applications","day":"01","status":"public","scopus_import":"1","abstract":[{"text":"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.","lang":"eng"}],"publist_id":"2106","citation":{"apa":"Edelsbrunner, H., &#38; Shah, N. (1997). Triangulating topological spaces. <i>International Journal of Computational Geometry &#38; Applications</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0218195997000223\">https://doi.org/10.1142/S0218195997000223</a>","chicago":"Edelsbrunner, Herbert, and Nimish Shah. “Triangulating Topological Spaces.” <i>International Journal of Computational Geometry &#38; Applications</i>. World Scientific Publishing, 1997. <a href=\"https://doi.org/10.1142/S0218195997000223\">https://doi.org/10.1142/S0218195997000223</a>.","ieee":"H. Edelsbrunner and N. Shah, “Triangulating topological spaces,” <i>International Journal of Computational Geometry &#38; Applications</i>, vol. 7, no. 4. World Scientific Publishing, pp. 365–378, 1997.","ista":"Edelsbrunner H, Shah N. 1997. Triangulating topological spaces. International Journal of Computational Geometry &#38; Applications. 7(4), 365–378.","ama":"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>","mla":"Edelsbrunner, Herbert, and Nimish Shah. “Triangulating Topological Spaces.” <i>International Journal of Computational Geometry &#38; Applications</i>, vol. 7, no. 4, World Scientific Publishing, 1997, pp. 365–78, doi:<a href=\"https://doi.org/10.1142/S0218195997000223\">10.1142/S0218195997000223</a>.","short":"H. Edelsbrunner, N. Shah, International Journal of Computational Geometry &#38; Applications 7 (1997) 365–378."},"language":[{"iso":"eng"}],"type":"journal_article","volume":7,"year":"1997","oa_version":"None","date_published":"1997-01-01T00:00:00Z","title":"Triangulating topological spaces","month":"01","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication_status":"published","doi":"10.1142/S0218195997000223","page":"365 - 378","article_processing_charge":"No","date_created":"2018-12-11T12:06:28Z","issue":"4","author":[{"last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833"},{"first_name":"Nimish","last_name":"Shah","full_name":"Shah, Nimish"}],"publication_identifier":{"issn":["0925-7721"]},"_id":"4018","quality_controlled":"1","acknowledgement":"Partially supported by the National Science Foundation, under grant ASC-200301 and the Alan T. Waterman award, grant CCR-9118874.","intvolume":"         7","extern":"1"}