[{"language":[{"iso":"eng"}],"status":"public","date_updated":"2026-07-06T11:55:48Z","_id":"2905","oa":1,"pubrep_id":"544","ddc":["000"],"department":[{"_id":"HeEd"}],"file":[{"relation":"main_file","checksum":"1d4a046f1af945c407c5c4d411d4c5e4","date_updated":"2020-07-14T12:45:52Z","date_created":"2018-12-12T10:16:43Z","file_size":435320,"access_level":"open_access","file_name":"IST-2016-544-v1+1_2012-P-11-PHTheoryPractice.pdf","creator":"system","content_type":"application/pdf","file_id":"5232"}],"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.","oa_version":"Submitted Version","type":"conference","das_tickbox":"1","month":"01","page":"31 - 50","year":"2014","doi":"10.4171/120-1/3","has_accepted_license":"1","publisher":"EMS Press","conference":{"start_date":"2012-07-02","location":"Kraków, Poland","name":"ECM: European Congress of Mathematics","end_date":"2012-07-07"},"day":"01","date_published":"2014-01-01T00:00:00Z","title":"Persistent homology: Theory and practice","publist_id":"3842","quality_controlled":"1","file_date_updated":"2020-07-14T12:45:52Z","corr_author":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner"},{"first_name":"Dmitriy","last_name":"Morozovy","full_name":"Morozovy, Dmitriy"}],"abstract":[{"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.","lang":"eng"}],"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>","short":"H. Edelsbrunner, D. Morozovy, in:, EMS Press, 2014, pp. 31–50.","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>","ista":"Edelsbrunner H, Morozovy D. 2014. Persistent homology: Theory and practice. ECM: European Congress of Mathematics, 31–50.","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.","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>."},"publication_status":"published","date_created":"2018-12-11T12:00:16Z","article_processing_charge":"No"}]