conference paper published yes Herbert Edelsbrunner author 3FB178DA-F248-11E8-B48F-1D18A9856A870000-0002-9823-6833 Dmitriy Morozovy author HeEd department ECM: European Congress of Mathematics Persistent homology is a recent grandchild of homology that has found use in science and engineering as well as in mathematics. This paper surveys the method as well as the applications, neglecting completeness in favor of highlighting ideas and directions. https://research-explorer.ista.ac.at/download/2905/5232/IST-2016-544-v1+1_2012-P-11-PHTheoryPractice.pdf application/pdfno EMS Press2014Kraków, Poland eng 10.4171/120-1/3 31 - 50 H. Edelsbrunner, D. Morozovy, in:, EMS Press, 2014, pp. 31–50. Edelsbrunner H, Morozovy D. 2014. Persistent homology: Theory and practice. ECM: European Congress of Mathematics, 31–50. 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>. 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> 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>. 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> H. Edelsbrunner and D. Morozovy, “Persistent homology: Theory and practice,” presented at the ECM: European Congress of Mathematics, Kraków, Poland, 2014, pp. 31–50. 29052018-12-11T12:00:16Z2026-07-06T11:55:48Z