Persistent Homology: Theory and Practice

  • Herbert Edelsbrunner

    Institute of Science and Technology Austria, Klosterneuburg, Austria
  • Dmitriy Morozov

    Lawrence National Laboratory, Berkeley, USA
Persistent Homology: Theory and Practice cover

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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.