Topology preserving edge contraction
Dey T, Edelsbrunner H, Guha S, Nekhayev D. 1999. Topology preserving edge contraction. Publications de l’Institut Mathématique. 66, 23–45.
Download (ext.)
Journal Article
| Published
| English
Author
Dey, Tamal;
Edelsbrunner, HerbertISTA 
;
Guha, Sumanta;
Nekhayev, Dmitry
;
Guha, Sumanta;
Nekhayev, DmitryAbstract
We study edge contractions in simplicial complexes and local conditions under which they preserve the topological type. The conditions are based on a generalized notion of boundary, which lends itself to defining a nested hierarchy of triangulable spaces measuring the distance to being a manifold.
Publishing Year
Date Published
1999-01-01
Journal Title
Publications de l'Institut Mathématique
Publisher
Mathematical Institute, Serbian Academy of Sciences and Arts
Acknowledgement
The second author thanks Wolfgang Haken and Min Yan for interesting discussions and Günter Ziegler for suggesting the knot construction in the triangulation of the 3-sphere mentioned in Section 7.
Volume
66
Page
23 - 45
ISSN
IST-REx-ID
Cite this
Dey T, Edelsbrunner H, Guha S, Nekhayev D. Topology preserving edge contraction. Publications de l’Institut Mathématique. 1999;66:23-45.
Dey, T., Edelsbrunner, H., Guha, S., & Nekhayev, D. (1999). Topology preserving edge contraction. Publications de l’Institut Mathématique. Mathematical Institute, Serbian Academy of Sciences and Arts.
Dey, Tamal, Herbert Edelsbrunner, Sumanta Guha, and Dmitry Nekhayev. “Topology Preserving Edge Contraction.” Publications de l’Institut Mathématique. Mathematical Institute, Serbian Academy of Sciences and Arts, 1999.
T. Dey, H. Edelsbrunner, S. Guha, and D. Nekhayev, “Topology preserving edge contraction,” Publications de l’Institut Mathématique, vol. 66. Mathematical Institute, Serbian Academy of Sciences and Arts, pp. 23–45, 1999.
Dey T, Edelsbrunner H, Guha S, Nekhayev D. 1999. Topology preserving edge contraction. Publications de l’Institut Mathématique. 66, 23–45.
Dey, Tamal, et al. “Topology Preserving Edge Contraction.” Publications de l’Institut Mathématique, vol. 66, Mathematical Institute, Serbian Academy of Sciences and Arts, 1999, pp. 23–45.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Link(s) to Main File(s)
Access Level
Open Access
Google Scholar