Persistent Homology: Theory and Practice
Herbert Edelsbrunner
Institute of Science and Technology Austria, Klosterneuburg, AustriaDmitriy Morozov
Lawrence National Laboratory, Berkeley, USA
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Abstract
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.