---
_id: '2905'
abstract:
- lang: eng
  text: "Persistent homology is a recent grandchild of homology that has found use
    in\r\nscience and engineering as well as in mathematics. This paper surveys the
    method as well\r\nas the applications, neglecting completeness in favor of highlighting
    ideas and directions."
acknowledgement: This research is partially supported by NSF under grant DBI-0820624,
  by ESF under the Research Networking Programme, and by the Russian Government Project
  11.G34.31.0053.
article_processing_charge: No
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Dmitriy
  full_name: Morozovy, Dmitriy
  last_name: Morozovy
citation:
  ama: 'Edelsbrunner H, Morozovy D. Persistent homology: Theory and practice. In:
    EMS Press; 2014:31-50. doi:<a href="https://doi.org/10.4171/120-1/3">10.4171/120-1/3</a>'
  apa: 'Edelsbrunner, H., &#38; Morozovy, D. (2014). Persistent homology: Theory and
    practice (pp. 31–50). Presented at the ECM: European Congress of Mathematics,
    Kraków, Poland: EMS Press. <a href="https://doi.org/10.4171/120-1/3">https://doi.org/10.4171/120-1/3</a>'
  chicago: 'Edelsbrunner, Herbert, and Dmitriy Morozovy. “Persistent Homology: Theory
    and Practice,” 31–50. EMS Press, 2014. <a href="https://doi.org/10.4171/120-1/3">https://doi.org/10.4171/120-1/3</a>.'
  ieee: 'H. Edelsbrunner and D. Morozovy, “Persistent homology: Theory and practice,”
    presented at the ECM: European Congress of Mathematics, Kraków, Poland, 2014,
    pp. 31–50.'
  ista: 'Edelsbrunner H, Morozovy D. 2014. Persistent homology: Theory and practice.
    ECM: European Congress of Mathematics, 31–50.'
  mla: 'Edelsbrunner, Herbert, and Dmitriy Morozovy. <i>Persistent Homology: Theory
    and Practice</i>. EMS Press, 2014, pp. 31–50, doi:<a href="https://doi.org/10.4171/120-1/3">10.4171/120-1/3</a>.'
  short: H. Edelsbrunner, D. Morozovy, in:, EMS Press, 2014, pp. 31–50.
conference:
  end_date: 2012-07-07
  location: Kraków, Poland
  name: 'ECM: European Congress of Mathematics'
  start_date: 2012-07-02
corr_author: '1'
das_tickbox: '1'
date_created: 2018-12-11T12:00:16Z
date_published: 2014-01-01T00:00:00Z
date_updated: 2026-07-06T11:55:48Z
day: '01'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.4171/120-1/3
file:
- access_level: open_access
  checksum: 1d4a046f1af945c407c5c4d411d4c5e4
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:16:43Z
  date_updated: 2020-07-14T12:45:52Z
  file_id: '5232'
  file_name: IST-2016-544-v1+1_2012-P-11-PHTheoryPractice.pdf
  file_size: 435320
  relation: main_file
file_date_updated: 2020-07-14T12:45:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 31 - 50
publication_status: published
publisher: EMS Press
publist_id: '3842'
pubrep_id: '544'
quality_controlled: '1'
status: public
title: 'Persistent homology: Theory and practice'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...