---
_id: '3582'
abstract:
- lang: eng
  text: 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.
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.
article_processing_charge: No
article_type: original
author:
- first_name: Tamal
  full_name: Dey, Tamal
  last_name: Dey
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Sumanta
  full_name: Guha, Sumanta
  last_name: Guha
- first_name: Dmitry
  full_name: Nekhayev, Dmitry
  last_name: Nekhayev
citation:
  ama: Dey T, Edelsbrunner H, Guha S, Nekhayev D. Topology preserving edge contraction.
    <i>Publications de l’Institut Mathématique</i>. 1999;66:23-45.
  apa: Dey, T., Edelsbrunner, H., Guha, S., &#38; Nekhayev, D. (1999). Topology preserving
    edge contraction. <i>Publications de l’Institut Mathématique</i>. Mathematical
    Institute, Serbian Academy of Sciences and Arts.
  chicago: Dey, Tamal, Herbert Edelsbrunner, Sumanta Guha, and Dmitry Nekhayev. “Topology
    Preserving Edge Contraction.” <i>Publications de l’Institut Mathématique</i>.
    Mathematical Institute, Serbian Academy of Sciences and Arts, 1999.
  ieee: T. Dey, H. Edelsbrunner, S. Guha, and D. Nekhayev, “Topology preserving edge
    contraction,” <i>Publications de l’Institut Mathématique</i>, vol. 66. Mathematical
    Institute, Serbian Academy of Sciences and Arts, pp. 23–45, 1999.
  ista: Dey T, Edelsbrunner H, Guha S, Nekhayev D. 1999. Topology preserving edge
    contraction. Publications de l’Institut Mathématique. 66, 23–45.
  mla: Dey, Tamal, et al. “Topology Preserving Edge Contraction.” <i>Publications
    de l’Institut Mathématique</i>, vol. 66, Mathematical Institute, Serbian Academy
    of Sciences and Arts, 1999, pp. 23–45.
  short: T. Dey, H. Edelsbrunner, S. Guha, D. Nekhayev, Publications de l’Institut
    Mathématique 66 (1999) 23–45.
date_created: 2018-12-11T12:04:05Z
date_published: 1999-01-01T00:00:00Z
date_updated: 2023-03-22T13:20:32Z
day: '01'
extern: '1'
intvolume: '        66'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.emis.de/journals/PIMB/080/3.html
month: '01'
oa: 1
oa_version: None
page: 23 - 45
publication: Publications de l'Institut Mathématique
publication_identifier:
  issn:
  - 0350-1302
publication_status: published
publisher: Mathematical Institute, Serbian Academy of Sciences and Arts
publist_id: '2803'
quality_controlled: '1'
status: public
title: Topology preserving edge contraction
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 66
year: '1999'
...