Triangulating topological spaces
Edelsbrunner H, Shah N. 1997. Triangulating topological spaces. International Journal of Computational Geometry & Applications. 7(4), 365–378.
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Journal Article
| Published
| English
Scopus indexed
Author
Edelsbrunner, HerbertISTA 
;
Shah, Nimish
;
Shah, NimishAbstract
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.
Publishing Year
Date Published
1997-01-01
Journal Title
International Journal of Computational Geometry & Applications
Acknowledgement
Partially supported by the National Science Foundation, under grant ASC-200301 and the Alan T. Waterman award, grant CCR-9118874.
Volume
7
Issue
4
Page
365 - 378
ISSN
IST-REx-ID
Cite this
Edelsbrunner H, Shah N. Triangulating topological spaces. International Journal of Computational Geometry & Applications. 1997;7(4):365-378. doi:10.1142/S0218195997000223
Edelsbrunner, H., & Shah, N. (1997). Triangulating topological spaces. International Journal of Computational Geometry & Applications. World Scientific Publishing. https://doi.org/10.1142/S0218195997000223
Edelsbrunner, Herbert, and Nimish Shah. “Triangulating Topological Spaces.” International Journal of Computational Geometry & Applications. World Scientific Publishing, 1997. https://doi.org/10.1142/S0218195997000223.
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.
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:10.1142/S0218195997000223.
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